asymptotic stability of densities in coupled map lattices abstract sufficient conditions for the asymptotic stability strong convergence of density evolution in finite dimensional piecewise monotone map lattices with both constant and state dependent coupling are given these conditions are quite useful in numerical work since they allow one to precisely define where one expects to see numerical signatures of asymptotic stability asymptotic stability is illustrated with several examples it is also shown that in constantly coupled lattices the density formed by collapsing the higher dimensional density into one dimension can be approximated by the evolution of densities under the action of an appropriately perturbed one dimensional map

aging in models of nonlinear diffusion we show that for a family of problems described by non linear diffusion equations an exact calculation of the two time correlation function gives c t t f t t g t t t exhibiting normal and anomalous diffusions as well as aging effects depending on the degree of non linearity we discuss also the form in which fdt is violated in this class of systems finally we argue that in this type of models aging may be consequence of the non conservation of the total mass

quantity of information comparison between information systems 1 non fuzzy states abstract in statistical theory experiments or probabilistic information systems are supposed to be informative since they reduce the amount of uncertainty associated with the states of nature for the case that the available information systems are vague fuzzy information systems h tanaka t okuda and k asai have proven using the measure of information as provided by entropy that the fuzzy information systems are informative too now we wish to state and to study a criterion in order to compare fuzzy information systems by the quantity of information of a fuzzy information system defined by tanaka et al in this first paper we consider the situation where we require information about the original state space non fuzzy state space the second paper will deal with the situation where we require only information on certain vague states fuzzy states

a monomial chaos approach for efficient uncertainty quantification in nonlinear problems a monomial chaos approach is presented for efficient uncertainty quantification in nonlinear computational problems propagating uncertainty through nonlinear equations can be computationally intensive for existing uncertainty quantification methods it usually results in a set of nonlinear equations which can be coupled the proposed monomial chaos approach employs a polynomial chaos expansion with monomials as basis functions the expansion coefficients are solved for using differentiation of the governing equations instead of a galerkin projection this results in a decoupled set of linear equations even for problems involving polynomial nonlinearities this reduces the computational work per additional polynomial chaos order to the equivalence of a single newton iteration error estimates are derived and monomial chaos is applied to uncertainty quantification of the burgers equation and a two dimensional boundary layer flow problem the results are compared with results of the monte carlo method the perturbation method the galerkin polynomial chaos method and a nonintrusive polynomial chaos method

mean field theory of critical coupled map lattices we study the single site approximation of the perron frobenius equation for a coupled map lattice exhibiting a phase transition at a critical value of the coupling constant we find that the critical exponents are the same as in the usual mean field theory of equilibrium statistical mechanics remarkably the value of is within 6 of the one previously obtained by numerical simulations with asynchronous updating

cross entropy dissimilarity measures and characterizations of quadratic entropy a unified approach is given for constructing cross entropy and dissimilarity measures between probability distributions based on a given entropy function or a diversity measure special properties of quadratic entropy introduced by rao 7 are described in particular it is shown that the square root of the jensen difference dissimilarity measure arising out of a quadratic entropy provides a metric on a probability space several characterizations of quadratic entropy are obtained

short term memories in lattices of inductively coupled ac driven circuits short term memory formation is a collective e ect displayed by driven spatiotemporal dynamical systems in which the injectedsignal is echoedback in many d ways d to the coupling e ect the existence of multiple short term memories enables us to use these systems to encode signals we present numerical evidence of short term memory generation in a lattice of ac driven circuits with inductive coupling the multiple con4gurations exhibited by this oscillator chain can be usedto encod e graphical characters c 2002 elsevier science b v all rights reserved

synchronization and coherence in thermodynamic coupled map lattices with intermediate range coupling in spatially extended systems intermediate range interactions arise naturally in some physical contexts to study them we investigate a model of coupled map lattices cml s with intermediate range coupling and derive analytic conditions for its synchronization we find that in these cml s if the range of coupling is fixed the law of large numbers applies for the mean field the total normalized power in nonzero components of the power spectrum of the mean field goes to zero in the thermodynamic limit we also show that in the same limit the relevant parameter for synchronization and coherence is the fraction of sites coupled and not their number s1063 651x 99 07410 3 pacs number s 05 45 2a the past decade has seen a surge of interest in synchronization and coherence in coupled map lattices cml s 1 10 most work has focused on systems with finite degrees of freedom and short range global or random coupling in this paper we study the synchronization of one and two dimensional 1d and 2d cml s with intermediaterange couplings in the thermodynamic limit this study is related to systems with finite degrees of freedom studied by sinha et al 2 and kozma 10 in these works each site is coupled to a range of neighbors on either side rather than just its nearest neighbors this may be a valid approximation in systems where interaction strength decays slowly with distance just as cml s with nearest neighbor coupling could be considered to be a discretization of partial differential equation cml s with intermediate range coupling could be seen as a discretization of a partial integro differential equation in fact such integro differential equations have often been used in modeling certain physico chemical reactions 11 elimination of rapidly diffusing components in a system of diffusion coupling can also lead to effectively nonlocal coupling in resultant equations 12 cml s in which coupling between two sites separated by distance r decays as power law 1 r a with exponent a have also been considered as models for biological neural networks 6 in the present work we derive the analytic conditions for synchronization in our cml s we find that in the thermodynamic limit the relevant parameter for synchronization is the fraction of sites coupled and not their number we present numerical results which show that for the mean field in the cml s with a fixed range of coupling sites for each site the law of large numbers applies and the total normalized power in nonzero components of the power spectrum goes to zero in the thermodynamic limit this is in sharp contrast with the conjecture of sinha et al 2

spatio temporal intermittency in coupled map lattices abstract the transition to turbulence in a one dimensional array of maps coupled by diffusion is shown to display critical properties resembling those of directed percolation the analogy is supported by the reconstruction of a probabilistic cellular automation with closely similar statistical properties numerical results suggest however that spatio temporal intermittency does not belong to the same universality class as directed percolation

spatiotemporal chaos in mixed linear nonlinear two dimensional coupled logistic map lattice abstract we investigate a new spatiotemporal dynamics with mixing degrees of nonlinear chaotic maps for spatial coupling connections based on 2dcml here the coupling methods are including with linear neighborhood coupling and the nonlinear chaotic map coupling of lattices and the former 2dcml system is only a special case in the proposed system in this paper the criteria such kolmogorov sinai entropy density and universality bifurcation diagrams space amplitude and snapshot pattern diagrams are provided in order to investigate the chaotic behaviors of the proposed system furthermore we also investigate the parameter ranges of the proposed system which holds those features in comparisons with those of the 2dcml system and the mlncml system theoretical analysis and computer simulation indicate that the proposed system contains features such as the higher percentage of lattices in chaotic behaviors for most of parameters less periodic windows in bifurcation diagrams and the larger range of parameters for chaotic behaviors which is more suitable for cryptography

synchronization in coupled map lattices with small world delayed interactions abstract we study the synchronization of coupled map lattices with small world interactions and coupling delays in this paper a stability criterion for the synchronized state is derived numerical examples are presented to demonstrate the correctness of our theoretical result

efficiency of competitions league competition is investigated using random processes and scaling techniques in our model a weak team can upset a strong team with a fixed probability teams play an equal number of head to head matches and the team with the largest number of wins is declared to be the champion the total number of games needed for the best team to win the championship with high certainty t grows as the cube of the number of teams n i e t ensuremath sim n 3 this number can be substantially reduced using preliminary rounds where teams play a small number of games and subsequently only the top teams advance to the next round when there are k rounds the total number of games needed for the best team to emerge as champion t k scales as follows t k ensuremath sim n ensuremath gamma k with ensuremath gamma k 1 ensuremath 2 3 k 1 ensuremath 1 for example ensuremath gamma k 9 5 27 19 81 65 for k 1 2 3 these results suggest an algorithm for how to infer the best team using a schedule that is linear in n we conclude that league format is an ineffective method of determining the best team and that sequential elimination from the bottom up is fair and efficient

ordering in spatial evolutionary games for pairwise collective strategy updates evolutionary 2 ifmmode times else texttimes fi 2 games are studied with players located on a square lattice during the evolution the randomly chosen neighboring players try to maximize their collective income by adopting a random strategy pair with a probability dependent on the difference of their summed payoffs between the final and initial states assuming quenched strategies in their neighborhood in the case of the anticoordination game this system behaves like an antiferromagnetic kinetic ising model within a wide region of social dilemmas this dynamical rule supports the formation of similar spatial arrangement of the cooperators and defectors ensuring the optimum total payoff if the temptation to choose defection exceeds a threshold value dependent on the sucker s payoff the comparison of the results with those achieved for pairwise imitation and myopic strategy updates has indicated the relevant advantage of pairwise collective strategy update in the maintenance of cooperation

nonequilibrium phase transition in a lattice prey predator system abstract we study a lattice model of a prey predator system mean field approximation predicts that the active phase i e one with a finite fraction of preys and predators is a generic phase of this model moreover within this approximation the model exhibits quasi oscillations resembling lotka volterra systems however monte carlo simulations for a one two and three dimensional versions of this model do not support this scenario and predict that at a certain value of some parameter the model enters the absorbing state i e a state where the entire population of predators dies out and the model is invaded by preys simulations for the one dimensional version indicate that the transition into the absorbing state belongs to the directed percolation universality class

dynamics of three agent games we study the dynamics and resulting score distribution of three agent games where after each competition a single agent wins and scores a point a single competition is described by a triplet of numbers p t and q denoting the probabilities that the team with the highest middle or lowest accumulated score wins the three agent game can be regarded as a social model where a player can be favored or disfavored for advancement based on his her accumulated score we study the full family of solutions in the regime where the number of agents and competitions is large which can be regarded as a hydrodynamic limit depending on the parameter values p q t we find six qualitatively different asymptotic score distributions and we provide a qualitative explanation of these results we also compare our analytical results against numerical simulations of the microscopic model and find these to be in excellent agreement it is possible to decide the outcome of a three agent game through a mini tournament of two agent competitions among the participating players and it turns out that the resulting possible score distributions are a subset of those obtained for the general three agent games we discuss how one can add a steady and democratic decline rate to the model and present a simple geometric construction that allows one to obtain the score evolution equations for n agent games

associative memory based on parametrically coupled chaotic elements abstract in this paper we propose an associative memory system based on parametrically coupled chaotic elements the proposed system is obtained by adding a new parameter control to our previously proposed system a chaotic activity in an early association stage makes an efficient association over the memories that are stored by means of autocorrelational learning when the system successfully recalls the target memory the system s motion is dominated by a spatially coherent oscillation while unstable motions remain when the system fails to make the association in addition the system has a large memory capacity a comparison between the proposed system and an approach with a nonmonotonic transfer function is also shown

mean field model of a game for power abstract our aim is to model a game for power equivalent to total energy as a dynamical process where an excess of power possessed by a player allows him to gain even more power such a positive feedback is often termed as the matthew effect analytical and numerical methods allow to identify a set of stationary states i e fixed points of the model dynamics the positions of the unstable fixed points give an insight on the basins of attraction of the stable fixed points the results are interpreted in terms of modeling of coercive power

one dimensional dynamics for traveling fronts in coupled map lattices multistable coupled map lattices typically support traveling fronts separating two adjacent stable phases we show how the existence of an invariant function describing the front profile allows a reduction of the infinitely dimensional dynamics to a one dimensional circle homeomorphism whose rotation number gives the propagation velocity the mode locking of the velocity with respect to the system parameters then typically follows we study the behavior of fronts near the boundary of parametric stability and we explain how the mode locking tends to disappear as we approach the continuum limit of an infinite density of sites

bonabeau hierarchy models revisited abstract what basic processes generate hierarchy in a collective the bonabeau model provides us a simple mechanism based on randomness which develops self organization through both winner looser effects and relaxation process a phase transition between egalitarian and hierarchic states has been found both analytically and numerically in previous works in this paper we present a different approach by means of a discrete scheme we develop a mean field approximation that not only reproduces the phase transition but also allows us to characterize the complexity of hierarchic phase in the same philosophy we study a new version of the bonabeau model developed by stauffer et al several previous works described numerically the presence of a similar phase transition in this later version we find surprising results in this model that can be interpreted properly as the non existence of phase transition in this version of bonabeau model but a changing in fixed point structure

validity of numerical trajectories in the synchronization transition of complex systems we investigate the relationship between the loss of synchronization and the onset of shadowing breakdown via unstable dimension variability in complex systems in the neighborhood of the critical transition to strongly nonhyperbolic behavior the system undergoes on off intermittency with respect to the synchronization state there are potentially severe consequences of these facts on the validity of the computer generated trajectories obtained from dynamical systems whose synchronization manifolds share the same nonhyperbolic properties

piecewise linear model of self organized hierarchy formation the bonabeau model of self organized hierarchy formation is studied by using a piecewise linear approximation to the sigmoid function simulations of the piecewise linear agent model show that there exist two level and three level hierarchical solutions and that each agent exhibits a transition from nonergodic to ergodic behaviors furthermore by using a mean field approximation to the agent model it is analytically shown that there are asymmetric two level solutions even though the model equation is symmetric asymmetry is introduced only through the initial conditions and that linearly stable and unstable three level solutions coexist it is also shown that some of these solutions emerge through supercritical pitchfork like bifurcations in invariant subspaces existence and stability of the linear hierarchy solution in the mean field model are also elucidated

modeling uncertainty in flow simulations via generalized polynomial chaos we present a new algorithm to model the input uncertainty and its propagation in incompressible flow simulations the stochastic input is represented spectrally by employing orthogonal polynomial functionals from the askey scheme as trial basis to represent the random space a standard galerkin projection is applied in the random dimension to obtain the equations in the weak form the resulting system of deterministic equations is then solved with standard methods to obtain the solution for each random mode this approach can be considered as a generalization of the original polynomial chaos expansion first introduced by wiener am j math 60 1938 897 the original method employs the hermite polynomials one of the 13 members of the askey scheme as the basis in random space the algorithm is applied to micro channel flows with random wall boundary conditions and to external flows with random freestream efficiency and convergence are studied by comparing with exact solutions as well as numerical solutions obtained by monte carlo simulations it is shown that the generalized polynomial chaos method promises a substantial speed up compared with the monte carlo method the utilization of different type orthogonal polynomials from the askey scheme also provides a more efficient way to represent general non gaussian processes compared with the original wiener hermite expansions

phase diagram of a model of self organizing hierarchies abstract we introduce a simple model of self organizing hierarchies in animal societies which relies on a basic positive feedback mechanism reinforcing the ability of a given individual to win or lose in a hierarchical interaction depending on how many times it won or lost in previous interactions if a forgetting strength is included which determines the rate at which events in the past are forgotten and no longer influence the force of an individual subcritical or supercritical bifurcations in the formation of the hierarchical structure are observed as the density of individuals is varied the nature of the transition is shown to depend on a parameter analogous to the inverse of a temperature defining the amount of determinism in the outcomes of the fights we therefore observe a dynamical tricritical point in the plane

opinion polarization in the receipt accept sample model abstract the zaller theory of opinion formation is reformulated with one free parameter which measures the largest possible ideological distance which can be made by a citizen in one mental step our numerical results show the transient effects i the political awareness measured by the number of received messages increases with time first exponentially later linearly ii for small correlations are present between previously and newly received messages iii these correlation lead to a hyperdiffusion effect in the space of attitudes of messages citizens with small are more prone to extremal opinions

possible generalization of boltzmann gibbs statistics with the use of a quantity normally scaled in multifractals a generalized form is postulated for entropy namelys q k 1 i 1 w p i q q 1 whereq characterizes the generalization andp i are the probabilities associated withw microscopic configurations w the main properties associated with this entropy are established particularly those corresponding to the microcanonical and canonical ensembles the boltzmann gibbs statistics is recovered as theq 1 limit

self organized memories in coupled map lattices abstract spatially extended dynamical systems subjected to a periodic external input are able to store short term memories as a result of self organization this phenomenon has been used to interpret sliding charge density wave experiments and has been found in lattices of coupled maps and oscillators in this paper we aim to describe the influence of a stochastic perturbation in the self organized memories in a lattice of coupled linear and weakly nonlinear maps we consider the case in which the coupling between maps depends on the lattice distance as a power law

synchronous versus asynchronous dynamics in spatially distributed systems abstract many prototypical models of spatially extended systems that are capable of complex spatiotemporal dynamics impose a finite discretization window of space and time for such models it is important to determine to what extent the specific procedure which is used to update local states affects the overall regimes as the latter might turn out to be artifacts due to an unrealistic digitalization of the world the chances of generating spatiotemporal patterns with no counterparts in the physical world are particularly high with granular space time models that rely on a synchronous evolution of distributed states as such synchronous evolution is found in nature most typically in systems governed by evolution laws in the form of partial differential equations we show this possibility to be the case for the regimes produced in coupled map lattices as markedly different dynamics arise when the standard synchronous model is made asynchronous by quantifying the degree of mutual asynchrony in the system signatures of asynchronous spatiotemporal dynamics are unraveled and further characterized in terms of simple stability measures

turing instability in oscillator chains with nonlocal coupling we investigate analytically and numerically the conditions for the turing instability to occur in a one dimensional chain of nonlinear oscillators coupled nonlocally in such a way that the coupling strength decreases with the spatial distance as a power law a range parameter makes it possible to cover the two limiting cases of local nearest neighbor and global all to all couplings we consider an example from a nonlinear autocatalytic reaction diffusion model

the wiener askey polynomial chaos for stochastic differential equations we present a new method for solving stochastic differential equations based on galerkin projections and extensions of wiener s polynomial chaos specifically we represent the stochastic processes with an optimum trial basis from the askey family of orthogonal polynomials that reduces the dimensionality of the system and leads to exponential convergence of the error several continuous and discrete processes are treated and numerical examples show substantial speed up compared to monte carlo simulations for low dimensional stochastic inputs

human sexual contact network as a bipartite graph abstract a simple model to encapsulate the essential growth properties of the web of human sexual contacts is presented in the model only heterosexual connection is considered and represented by a random growing bipartite graph where both male female contact networks grow simultaneously the time evolution of the model is analysed by a rate equation approach leading to confirm that male and female sexual contact distributions decay as power laws with exponents depending on influx and charisma of the sexes

phase transition and diffusivity in social hierarchies with attractive sites we study the effects of including a distribution of valuable or attractive sites in a two dimensional lattice in selforganizing social hierarchies agents move aleatorily except in the case where an attractive site is located in their neighborhood we find that the transition between an egalitarian society at low population density and a hierarchical one at high population density strongly depends on the distribution and percolation of strategic sites also it is shown how agent diffusivity is closely related to the amount of inequality the proposed model introduces an optimization aspect to the problem of social hierarchies since the system tends to maximize the occupation of attractive sites wealth per capita however when the density of attractive sites is small the system fails to reach this state and is trapped in a local minimum as in a glass or jam transition r 2006 elsevier b v all rights reserved

on one parameter dependent generalizations of boltzmann gibbs statistical mechanics based on a previously postulated entropy that now becomes a particular case we show that there exists an infinite set of entropies with similar properties that reduce in a common limit to the boltzmann shannon form the probabilities for the microcanonical ensemble and for the canonical ensemble are obtained the method used to construct the set is quite simple and quite general and can be applied to generalizations of physical quantities and to other generalized entropies the existence of an infinite set of entropies with in principle similar properties could be a serious drawback for the actual utility of any of them and points to their utter uselessness unless some reason can be given for a special choice of one of them

synchronization and cluster periodic solutions in globally coupled maps abstract the purpose of this work is to investigate mechanisms by which synchronization takes place in networks of elements with global couplings we consider a family of globally coupled nonlinear maps and find for each model sufficient conditions for synchronization we also analyze bifurcations of syncrhonized dynamics to other homogeneous and cluster periodic solutions in terms of corresponding low dimensional maps

exact encounter times for many random walkers on regular and complex networks the exact mean time between encounters of a given particle in a system consisting of many particles undergoing random walks in discrete time is calculated on both regular and complex networks analytical results are obtained both for independent walkers where any number of walkers can occupy the same site and for walkers with an exclusion interaction when no site can contain more than one walker these analytical results are then compared with numerical simulations showing very good agreement

stabilization of causally and non causally coupled map lattices abstract two dimensional coupled map lattices have global stability properties that depend on the coupling between individual maps and their neighborhood the action of the neighborhood on individual maps can be implemented in terms of causal coupling to spatially distant past states or non causal coupling to spatially distant simultaneous states in this contribution we show that globally stable behavior of coupled map lattices is facilitated by causal coupling thus indicating a surprising relationship between stability and causality the influence of causal versus non causal coupling for synchronous and asynchronous updating as a function of coupling strength and for different neighborhoods is analyzed in detail

lyapunov spectrum and synchronization of piecewise linear map lattices with power law coupling we study the synchronization properties of a lattice of chaotic piecewise linear maps the coupling strength decreases with the lattice distance in a power law fashion we obtain the lyapunov spectrum of the coupled map lattice and investigate the relation between spatiotemporal chaos and synchronization of amplitudes and phases using suitable numerical diagnostics

effect of randomness on multi frequency aeroelastic responses resolved by unsteady adaptive stochastic finite elements the unsteady adaptive stochastic finite elements uasfe method resolves the effect of randomness in numerical simulations of single mode aeroelastic responses with a constant accuracy in time for a constant number of samples in this paper the uasfe framework is extended to multi frequency responses and continuous structures by employing a wavelet decomposition pre processing step to decompose the sampled multi frequency signals into single frequency components the effect of the randomness on the multi frequency response is then obtained by summing the results of the uasfe interpolation at constant phase for the different frequency components results for multi frequency responses and continuous structures show a three orders of magnitude reduction of computational costs compared to crude monte carlo simulations in a harmonically forced oscillator a flutter panel problem and the three dimensional transonic agard 445 6 wing aeroelastic benchmark subject to random fields and random parameters with various probability distributions

a sequential selection method of a fixed number of fuzzy information systems based on the information energy gain on the basis of the information energy gain for fuzzy information systems a sequential selection method of a fixed number of fuzzy information systems is presented the information energy gain is a measure of the quantity of information concerning the state space provided by a fuzzy information system x when a prior probability distribution has been defined on the state space

directed percolation universality in asynchronous evolution of spatiotemporal intermittency we present strong evidence that a coupled map lattice model for spatiotemporal intermittency belongs to the universality class of directed percolation when the updating rules are asynchronous i e when only one randomly chosen site is evolved at each time step in contrast when the system is subjected to parallel updating available numerical evidence suggest that it does not belong to this universality class and that it is not even universal we argue that in the absence of periodic external forcing the asynchronous rule is the more physical

non linear kinetics underlying generalized statistics abstract the purpose of the present effort is threefold firstly it is shown that there exists a principle that we call kinetical interaction principle kip underlying the non linear kinetics in particle systems independently on the picture kramers boltzmann used to describe their time evolution secondly the kip imposes the form of the generalized entropy associated to the system and permits to obtain the particle statistical distribution both as stationary solution of the non linear evolution equation and as the state which maximizes the generalized entropy thirdly the kip allows on one hand to treat all the classical or quantum statistical distributions already known in the literature in a unifying scheme and on the other hand suggests how we can introduce naturally new distributions finally as a working example of the approach to the non linear kinetics here presented a new non extensive statistics is constructed and studied starting from a one parameter deformation of the exponential function holding the relation f x f x 1

sufficient fuzzy information systems in this paper we suggest and study a new selection criterion in order to compare probabilistic information systems when the available information from them is vague in the sense that it might be considered as fuzzy information tanaka okuda and asai this criterion is based on the concept of sufficient probabilistic information system established by blackwell

an alternative unsteady adaptive stochastic finite elements formulation based on interpolation at constant phase abstract the unsteady adaptive stochastic finite elements method based on time independent parametrization uasfe ti is an efficient approach for resolving the effect of random parameters in unsteady simulations it achieves a constant accuracy in time with a constant number of samples in contrast with the usually fast increasing number of samples required by other methods in this paper an alternative unsteady adaptive stochastic finite elements formulation based on interpolation at constant phase uasfe cp is developed to further improve the accuracy and extend the applicability of uasfe ti in addition to achieving a constant number of samples in time interpolation at constant phase 1 eliminates the parametrization error of the time independent parametrization 2 resolves time dependent functionals which cannot be modeled by the parametrization and 3 captures transient behavior of the samples which is an important special case of time dependent functionals these three points are illustrated by the application of uasfe cp to random parameters in a mass spring damper system the damped nonlinear duffing oscillator and an elastically mounted airfoil with nonlinearity in the flow and the structure results for different types of probability distributions are compared to those of uasfe ti and monte carlo simulations

analytical results for coupled map lattices with long range interactions we obtain exact analytical results for lattices of maps with couplings that decay with distance as r ensuremath ensuremath alpha we analyze the effect of the coupling range on the system dynamics through the lyapunov spectrum for lattices whose elements are piecewise linear maps we get an algebraic expression for the lyapunov spectrum when the local dynamics is given by a nonlinear map the lyapunov spectrum for a completely synchronized state is analytically obtained the critical line characterizing the synchronization transition is determined from the expression for the largest transversal lyapunov exponent in particular it is shown that in the thermodynamical limit such transition is only possible for sufficiently long range interactions namely for ensuremath alpha l ensuremath alpha c d where d is the lattice dimension

self organization of value and demand we study the dynamics of exchange value in a system composed of many interacting agents the simple model we propose exhibits cooperative emergence and collapse of global value for individual goods we demonstrate that the demand that drives the value exhibits non gaussian fat tails and typical fluctuations which grow with time interval as th with h 0 7

on the convexity of some divergence measures based on entropy functions three measures of divergence between vectors in a convex set of a n dimensional real vector space are defined in terms of certain types of entropy functions and their convexity property is studied among other results a classification of the entropies of degree alpha is obtained by the convexity of these measures these results have applications in information theory and biological studies

maximum entropy approach to stretched exponential probability distributions we introduce a nonextensive entropy functionals whose optimization under simple constraints mean values of some standard quantities yields stretched exponential probability distributions which occur in many complex systems the new entropy functional is characterized by a parameter the stretching exponent such that for d 1 the standard logarithmic entropy is recovered we study its mathematical properties showing that the basic requirements for a well behaved entropy functional are verified i e s possesses the usual properties of positivity equiprobability concavity and irreversibility and verifies khinchin axioms except the one related to additivity since s is nonextensive the entropys is shown to be superadditive for 1

inducing coherence in networks of bistable maps by varying the interaction range ordinarily two different topologies have been used to model spatiotemporal chaos and to study complexity in networks of maps one where sites interact only with nearest neighbors e g the standard diffusive coupling and one where sites interact with all sites in the network global coupling here we investigate intermediate regimes considering the interaction range as a free tunable parameter the synchronization behavior normally seen in globally coupled maps is found to set in for interaction ranges considerably smaller than the system size in addition we analytically derive stability conditions for the onset of coherent states full synchronization from which the minimum interaction range needed to induce coherence in homogeneously coupled maps can be determined such conditions are also obtained for inhomogeneous situations when the coupling strength decreases linearly with the distance the characteristic range for the onset of coherence is studied in detail as a function of model parameters

the minimum p divergence estimates with fuzzy observations statistical applications abstract in this paper we consider statistical problems involving experiments whose observation does not provide exact information but that it may be assimilated with fuzzy information first we present the minimum o divergence estimator o for the unknown parameter on the basis of the o divergence between the fuzzy statistic and the probability vector of the fuzzy information system based on a fuzzy random sample properties of this estimator are also used to obtain the asymptotic distribution of the statistic associated to the minimum o divergence estimator this asymptotic distribution is used to give a testing procedure

short time memories in a network with randomly distributed connections coupled map lattices are able to store short term memories when an external periodic input is applied we consider short term memory formation in networks with both regular nearest neighbor and randomly chosen connections the regimes under which single or multiple memorized patterns are stored are studied in terms of the coupling and nonlinear parameters of the network

multi state coupled map lattices abstract we investigate a two dimensional locally coupled map lattice cml with the local dynamics driven by the multi attractor quartic map in particular we explore a region where two local fixed points exist one being periodic and the other chaotic different sets of initial conditions such as random initial values for each site or arrangements favoring equal weights to the different local attractors were used the system reaches different asymptotic states as the intensity or the topology of the local coupling is varied among the asymptotic states we find either homogeneous collective behavior or mixtures of these with synchronized states these states are characterized and interpreted throughout this work by the distributions of the values of the maps and by the average roughness over the lattice

some statistical applications of generalized jensen difference divergence measures for fuzzy information systems in previous papers we have compared statistical experiments by considering unified scalar parametric generalizations of the jensen difference divergence measure in this paper we first introduce generalized jensen difference divergence measures when the available information from the experiment is not exact in order to compare fuzzy information systems then we establish the relationship between extended fisher information and the generalized r s jensen difference divergence measures