Search query: chaotic oscillator synchronization

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abstract: Designing chaotic oscillators using complementary metal oxide semiconductor (CMOS) integrated circuit technology for generating multi scroll attractors has been a challenge. That way, we introduce a current mode piecewise linear (PWL) function based on CMOS cells that allow programmable generation of 2 7 scroll chaotic attractors. The mathematical model of the chaotic oscillator designed herein has four coefficients and a PWL function, which can be varied to provide a high value of the maximum Lyapunov exponent. The coefficients are implemented electronically by designing operational transconductance amplifiers that allow programmability of their transconductances. Design simulations of the chaotic oscillator are provided for the 0.35 m m CMOS technology. Post layout and process voltage temperature (PVT) variation simulations demonstrate robustness of the multi scroll chaotic attractors. Finally, we highlight the synchronization of two seven scroll attractors in a master slave topology by generalized Hamiltonian forms and observer approach. Simulation results show that the synchronized CMOS chaotic oscillators are robust to PVT variations and are suitable for chaotic secure communication applications.
author_names: Victor Hugo Carbajal-Gomez

Esteban Tlelo-Cuautle

Carlos Sanchez-Lopez

Francisco Vidal Fernandez-Fernandez
title: PVT Robust CMOS Programmable Chaotic Oscillator: Synchronization of Two 7 Scroll Attractors
year: 2018

abstract: The authors report the simulation and actual implementation of chaotic oscillator synchronization for a pair of three state variable Lorenz systems. The first oscillator performs as a driver (transmitter) while the second system is made to respond the received waveform. Specifically, one of the state variables of the driver circuit is judiciously selected to generate an RF waveform. This waveform is transmitted through a noisy channel and is used to drive the response system until both the systems of all three state variables achieve complete replacement synchronization. It is known that this synchronization is sensitive to changes in received power. To overcome this, a technique hereon called generalized projective synchronization is employed to accept an attenuated version of the transmitted waveform. A sensitivity analysis reveals that generalized projective synchronization is robust with respect to deviations in the control parameter values of the response system due to tolerances of electronic components. The potential of the generalized projective synchronization is illustrated for a bistatic radar system case, where synchronization is necessary to obtain the range Doppler information of a moving target. In this instance, the cross correlation, short time cross correlogram and cross ambiguity surface of the transmitted and synchronized waveforms are of high quality as indicated by their entropy measures.
author_names: Chandra S Pappu

Benjamin C Flores

Patrick S Debroux

James E Boehm
title: An Electronic Implementation of Lorenz Chaotic Oscillator Synchronization for Bistatic Radar Applications
venue: IEEE Transactions on Aerospace and Electronic Systems
year: 2017

abstract: In this paper, the simplest chaotic oscillator with fractional order memristor component (SCOF) is proposed. Dynamical characteristics of the proposed chaotic oscillator are investigated both analytically and numerically. The results indicate that the proposed chaotic oscillator possesses novel dynamical characteristics: double scroll chaotic attractor, four scroll chaotic attractor and coexisting attractors. The proposed SCOF system is implemented in field programmable gate arrays (FPGA) using the Adomian decomposition method to verify the numerical simulation results. Finally, control and synchronization of the simple chaotic oscillator with fractional order memristor component is studied using the linear feedback control and the unidirectional linear error feedback coupling scheme, respectively.
author_names: Karthikeyan Rajagopal

Sifeu Takougang Kingni

Abdul Jalil M Khalaf

Yasser Shekofteh

Fahimeh Nazarimehr
title: Coexistence of attractors in a simple chaotic oscillator with fractional order memristor component: analysis, FPGA implementation, chaos control and synchronization
venue: The European Physical Journal Special Topics
year: 2019

abstract: We study synchronization of systems in which agents holding chaotic oscillators move in a two dimensional plane and interact with nearby ones forming a time dependent network. Due to the uncertainty in observing other agents' states, we assume that the interaction contains a certain amount of noise that turns out to be relevant for chaotic dynamics. We find that a synchronization transition takes place by changing a control parameter. But this transition depends on the relative dynamic scale of motion and interaction. When the topology change is slow, we observe an intermittent switching between laminar and burst states close to the transition due to small noise. This novel type of synchronization transition and intermittency can happen even when complete synchronization is linearly stable in the absence of noise. We show that the linear stability of the synchronized state is not a sufficient condition for its stability due to strong fluctuations of the transverse Lyapunov exponent associated with a slow network topology change. Since this effect can be observed within the linearized dynamics, we can expect such an effect in the temporal networks with noisy chaotic oscillators, irrespective of the details of the oscillator dynamics. When the topology change is fast, a linearized approximation describes well the dynamics towards synchrony. These results imply that the fluctuations of the finite time transverse Lyapunov exponent should also be taken into account to estimate synchronization of the mobile contact networks.
author_names: Naoya Fujiwara

Jurgen Kurths

Albert Diaz-Guilera
title: Synchronization of mobile chaotic oscillator networks.
venue: Chaos
year: 2016

abstract: Memcapacitor and meminductor are two new nonlinear memory circuit components defined on the basis of memristor. In the absence of physical devices of memcapacitor and meminductor, applying their equivalent circuit models into actual circuits to explore the characteristics of memcapacitor and meminductor based nonlinear circuits is meaningful. In this paper, a nonlinear oscillating circuit is designed based on the given nonvolatile memcapacitor and meminductor models, whose memory characteristics are analyzed using POP method in detail, and a series of dynamic characteristics of the novel chaotic circuit are analyzed, including Poincare section, equilibrium point, system stability, bifurcation diagrams, Lyapunov exponent spectrums and dynamic map of the system. By analyzing the influence of parameters on system dynamics, the evolutionary law of the system is obtained, which helps to better use of this chaotic oscillator in possible application areas like communication encryption and synchronization approach dependent on the initial setting. In particular, coexisting attractors are found under different initial values, by drawing the attractive basin, four different types of attractors in the system are discovered, and from the attractive basin, the evolutionary process of the system under different initial values is obtained. Finally, the validity of the system is verified by DSP experiment, and the experimental results are consistent with the theoretical analysis.
author_names: Xiaoyuan Wang

Jun Yu

Chenxi Jin

Herbert Ho-Ching Iu

Simin Yu
title: Chaotic oscillator based on memcapacitor and meminductor
year: 2019

abstract: In this paper, a novel kind of compound synchronization among four chaotic systems is investigated, where the drive systems have been conceptually divided into two categories: scaling drive systems and base drive systems. Firstly, a sufficient condition is obtained to ensure compound synchronization among four memristor chaotic oscillator systems based on the adaptive technique. Secondly, a secure communication scheme via adaptive compound synchronization of four memristor chaotic oscillator systems is presented. The corresponding theoretical proofs and numerical simulations are given to demonstrate the validity and feasibility of the proposed control technique. The unpredictability of scaling drive systems can additionally enhance the security of communication. The transmitted signals can be split into several parts loaded in the drive systems to improve the reliability of communication.
author_names: Junwei Sun

Yi Shen

Quan Yin

Chengjie Xu
title: Compound synchronization of four memristor chaotic oscillator systems and secure communication.
venue: Chaos
year: 2013

abstract: Abstract A novel chaotic memfractor oscillator with one unstable equilibriums is proposed. Various dynamic properties of the proposed system are derived and investigated to show the existence of chaotic oscillations. The fractional order time delayed model of the chaotic memfractor oscillator is derived considering time delay in the memcapacitor. Bifurcation of the time delayed system with its delay factor is investigated along with the parameter space bifurcation. A novel methodology for synchronizing identical time delayed systems with an uncertainty in the slave system is proposed and tested with the proposed time delayed fractional order chaotic memfractor oscillator.
author_names: Karthikeyan Rajagopal

Anitha Karthikeyan

Ashokkumar Srinivasan
title: Bifurcation and chaos in time delayed fractional order chaotic memfractor oscillator and its sliding mode synchronization with uncertainties
year: 2017

abstract: The drive system can synchronize with the response system by the scaling factor in the traditional projective synchronization. This paper proposes a novel adaptive hybrid dislocated synchronization with uncertain parameters scheme for chaos synchronization using the Lyapunov stability theory. The drive system is synchronized by the sum of hybrid dislocated state variables for the response system. By designing effective hybrid dislocated adaptive controller and hybrid dislocated adaptive law of the parameters estimation, we investigate the synchronization of two identical memristor chaotic oscillator systems and two different memristor chaotic oscillator systems with uncertain parameters. Finally, the numerical simulation examples are provided to show the effectiveness of our method.
author_names: Jie Chen

Junwei Sun

M X Chi

Xin-Ming Cheng
title: A Novel Scheme Adaptive Hybrid Dislocated Synchronization for Two Identical and Different Memristor Chaotic Oscillator Systems with Uncertain Parameters
year: 2014

abstract: Abstract In this paper, we present the synchronization of a chaotic system using a discrete time recurrent high order neural network. This is done by using a Genesio Tesi oscillator circuit in discrete time embedded into an Arduino microcontroller that provides the state space variables. A discrete time recurrent neural network is designed to synchronize the dynamics of the chaotic oscillator. This neural network is trained using a time varying training algorithm where it is used the Extended Kalman Filter. Two state space variables are captured in real time in ADC inputs of a compact development system, where these signals are synchronized by the recurrent high order neural network in discrete time. The proposed work allows synchronization of interactions associated between the neural convergence and the chaotical plant state. The obtained real time results, and the statistical analyses on the synchronization process validate the possible application in chaos based communications systems.
author_names: Carlos Eduardo Castaneda

Didier Lopez-Mancilla

Roger Chiu

Edgar Villafana-Rauda

Onofre Orozco-Lopez

Francisco J Casillas-Rodriguez

Ricardo Sevilla-Escoboza
title: Discrete time neural synchronization between an Arduino microcontroller and a Compact Development System using multiscroll chaotic signals
venue: Chaos, Solitons Fractals
year: 2019

abstract: Abstract In this work, we further investigate the dynamics of the Genesio Tesi chaotic system which consists of a relatively simple jerk circuit with a quadratic nonlinearity. We complete and enrich the results obtained by Aceng et al. (2016) For this reason, we focus our interest in multistability generation and chaos synchronization as well. By using simulation software tools like PASCAL compiler, Orcad PSPICE and MATLAB, these properties have been characterized via common nonlinear tools including phase portraits, temporal responses, frequency responses, bifurcation diagrams and maximum lyapunov exponent plots. The analysis shows that the Genesio Tesi system under consideration is able to exhibit complex and interesting behaviors including period doubling bifurcation, chaos, periodic windows and coexistence of multiple attractors. This latter phenomenon has not been found in previous studies of the Genesio Tesi oscillator thus merits to be shared. We have also shown that Genesio Tesi systems in their chaotic states can be synchronized and used for a possible masking of information, thus illustrating its importance in engineering. Numerical findings have been validated through experimental studies.
author_names: Leopold Parfait Nguemkoua Nguenjou

Guillaume Honore Kom

Justin Roger Mboupda Pone

Jacques Kengne

Alain Tiedeu
title: A window of multistability in Genesio Tesi chaotic system, synchronization and application for securing information
venue: AEU International Journal of Electronics and Communications
year: 2019