bluuebunny/crossref_metadata_2025_split huggingface dataset:
Dynamical analysis of a discrete fractional order prey-predator system incorporating a prey refuge with Holling type II response
Authors: George Maria Selvam A , Janagaraj R , Jacintha Mary 
Published: August 2020

Abstract
In this present work, a class of Fractional Order Predator-Prey System (FOPP) in discrete time with Holling type II functional response incorporating a prey refuge of the form

x
(
i
+
1
)
=
x
(
i
)
+

h
v

Γ
(
1
+
v
)

[

r
x
(
i
)
−
r

x
2

(
i
)
−
a

(

(

1
−
μ

)

x
(
i
)

(

1
−
μ

)

x
(
i
)
+
b

)

y
(
i
)

]

y
(
i
+
1
)
=
y
(
i
)
+

h
v

Γ
(
1
+
v
)

[

−
c
y
(
i
)
+
d

(

(

1
−
μ

)

x
(
i
)

(

1
−
μ

)

x
(
i
)
+
b

)

y
(
i
)

]

is considered. The stability of the proposed system is discussed by analyzing the characteristic equation at the equilibrium points along with the existence, uniqueness, non-negativity and boundedness of the solutions. Theoretical findings are supported by numerical examples and enhanced by pictorial representations such as time series, bifurcation diagrams and phase portraits.
Chirality and small scale effects on embedded thermo elastic carbon nanotube conveying fluid
Authors: Mahaveersree Jayan M , Selvamani R 
Published: August 2020

Abstract
This paper presents the mechanical buckling properties of fluid conveying thermo elastic embedded single walled carbon nanotube (SWCNT) with small scale and chirality effect. The analytical formulation is developed based on Eringen’s non local elasticity theory. The nonlocal form of governing equations that contains partial differential equations for (SWCNT) single walled carbon nanotube is derived by considering thermal and chirality effect. The analytical solution is obtained by using Euler–Bernoulli beam theory. The equivalent Young’s modulus and shear modulus of chirality SWCNT is derived. The computed non dimensional wave frequency, phase velocity and group velocity are presented in the form of dispersion curves and the physical characteristic are studied.
Thermo piezoelectric sound waves in a nanofiber using Timoshenko beam theory incorporated with surface effect
Authors: Rexy J , Selvamani R , Anitha L 
Published: August 2020

Abstract
This study investigates that the sound wave propagation of Nanofibers under the influence of surface effect via piezo thermo elasticity using Timoshenko form of beam equation. The equation of analytical model is obtained for Nanofiber through shear and rotation effect. Curves are drawn for frequency, phase velocity, piezoelectric strain and dynamic displacement at different vibration modes of Nanofibers. From the result obtained, it is seen that the surface effect gives significant contribution to the physical variables. The presented study is expected to be more helpful for the design of piezo-thermo-mechanical Nanofiber-based devices.
Bending analysis of generalized thermoelastic waves in a multilayered cylinder using theory of dual phase lagging
Authors: Mahesh S , Selvamani R 
Published: August 2020

Abstract
In this present problem, we construct the analytical model for wave propagation in a generalized thermoelastic multilayered composite hollow cylinder construct of inner and outer viscothermo layer fastened together by linear Elastic materials with voids (LEMV). To uncouple the equation of motion, and heat conduction equations, displacement potential functions are introduced. The frequency equations are derived for longitudinal and flexural modes of vibration and are studied numerically for heat conducting viscothermoelastic material. The computed dimensionless frequency is presented in the form of scattering curves against various physical variables. Adhesive layer LEMV is compared with Carbon Fiber Reinforced Polymer (CFRP).We found that the frequency wave characteristics are more in physical variables in the presence of thermal parameter.
A study on Zalcman conjecture and third Hankel determinant
Authors: Suman Kumar V , Sharma R B 
Published: August 2020

Abstract
In this present work, we define a new subclass of holomorphic functions denoted by Re
. We estimate an upperbound of

|

H
3

(
1
)

|

,

|

a
3
2

−

a
5

|

for the function f in these classes associated with exponential function. Also we estimate an upperbound of coefficient inequality for the functions

(
f
*
g
)
,

f

−
1

and

z

f
(
z
)

.
Fuzzy triangular numbers in - Sierpinski triangle and right angle triangle
Authors: Sudha T , Jayalalitha G 
Published: August 2020

Abstract
Sierpinski Triangle or Sierpinski Gasket or Sierpinski Sieve is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. In this paper the number theoretical aspect of Fuzzy Triangular Numbers (FTN) in Sierpinski Triangle and Right Angle Triangle have been established and some arithmetic operations of α – Cut, Centroid of the Triangle, Approximation of the Triangular Fuzzy Numbers are explained.
Radio analytic mean labeling of some graphs
Authors: Poomalai P , Vikramaprasad R , Malliga P 
Published: August 2020

Abstract
A Radio Analytic mean Labeling of an associated diagram G is a balanced guide V from the vertex set v(G) to the arrangement of z^+ with the end goal that for any two distinct vertices x and y of G.

d
(
x
,
y
)
+

⌈

|

(
f
(
u
)
)
−
(
f
(
v
)
)

|

2

⌉

≥
1
+
diam G

. The Radio Analytic mean number of n, RAMN (n) is the greatest number relegated to any vertex of G. The Radio Analytic mean number of G, is the least value of RAMN(n) taken over all Radio Analytic mean labeling n of G. In this paper we locate the radio Analytic mean number of splitting of Bistar graph, standing graph, wheel graph.
Hyers-Ulam stability of first order linear differential equation using Fourier transform method
Authors: Mohanapriya A , Ganesh A 
Published: August 2020

Abstract
This research paper aims to identify and also tries to prove differential equation of first order that has Hyers-Ulam and Generalized Hyers-Ulam stability by inducing Fourier Transform method.The analysis of the Hyers-Ulam stability had resulted in providing a constant value for homogeneous and non-homogeneous differential equation with implementation of Fourier transform. In order to prove these facts, few application of non-homogeneous linear differential equation in connect with the main results are provided.
The Fourier transform approach to Hyers-Ulam stability of differential equation of second order
Authors: Mohanapriya A , Ganesh A , Gunasekaran Nallappan 
Published: August 2020

Abstract
The use of Fourier transform has increased in the light of recent events in different application. Fourier transform is also seen as the easiest and an effective way among the other transformation. In line with this, the research deals with the Hyers-Ulam stability of second order differential equation using Fourier transform. The study aims at deriving a generalized Hyers-Ulam results for second order differential equations with constant co-efficient

H
″
(
v
)
+
a
H
′
(
v
)
+
b
H
(
v
)
=
r
(
t
)

with the help of Fourier Transform.
Exponential meanness of some ladder related graphs
Authors: Rajesh Kannan A , Ratha Jeyalakshmi R , Manivannan P , Durai Baskar A 
Published: August 2020

Abstract
For a graph G = (V, E) define an injective function χ from V (G) to the set {1, 2, 3…, q + 1} and an induced bijective function χ* from E(G) to the set {1, 2, 3…, q} as

χ
*
(
u
v
)
=

⌊

1
e

(

χ

(
v
)

χ
(
v
)

χ

(
u
)

χ
(
u
)

)

1

χ
(
v
)
−
χ
(
u
)

⌋

,

for all

u
v
∈
E
(
G
)
.

Then χ is called an exponential mean labeling of G. A graph which allows an exponential mean labeling is called an exponential mean graph. In this article, we discuss an exponential mean labeling of some ladder graphs.
β

ee0-excellence in graphs
Authors: Lakshmanaraj D , Muthusubramanian L , Swaminathan V 
Published: August 2020

Abstract
The concept of equitability was first introduced by W. Meyer in his paper titled Equitable Coloring[4]. In this paper, cardinality equitability between color classes was considered. Prof. E. Sampathkumar introduced the concept of degree equitability for vertices in a graph. Several types of equitability have been considered[1][2]. External equitability has been introduced in [3]. A subset T of the vertex set V of a graph G, one can define externally equitable, that is, if for any x,y in the complement of T, ‖N(x)∩T|−N(y)∩T‖ ≤ 1. A subset S of the vertex set of a graph is externally equitably independent if S is independent and S is externally equitable. The maximum cardinality of an externally equitable and independent set is denoted by

β
0

e
e

(
G
)

and an externally equitable and independent set with cardinality

β
0

e
e

(
G
)

is called a

β
0

e
e

(
G
)

-set of G. A vertex u is said to be

β
0

e
e

(
G
)

-good if u belongs to a

β
0

e
e

(
G
)

-set of G. If every vertex of G is

β
0

e
e

(
G
)

-good, then G is said to be

β
0

e
e

-excellent graph. In this paper, this concept is introduced and studied.
Linear modal analysis of ring shaped - elliptical plate using finite element method
Authors: Suganthi G , Karthikeyan S 
Published: August 2020

Abstract
In this paper, the wave propagation of a transversely isotropic thin ring - shaped elliptical plate made up of piezo electric material is considered. The surfaces are assumed to be traction free and coated with electrodes. The trail functions are introduced to uncouple the equations of motion and electric property. A computer program solving the finite element method (FEM) is developed and the numerical calculations are given for an array of six-noded shell elements. The non-dimensionalized natural frequencies of the elliptical plate in different wave numbers under different boundary condition for symmetric and antisymmetric modes are calculated and are plotted as dispersion curves. The proposed model is effective and simple and can be applied to problems with exact solution or a finite element approximation to the governing equations.
Stability of an non-additive functional equation
Authors: Govindan Vediyappan , Gunasekaran Nallappan , Pinelas Sandra 
Published: August 2020

Abstract
In this paper, the authors investigated the general solution and generalized Hyers-Ulam stability of Non additive functional equation of the form Ω(2θ
1±θ
2±θ
3) + 2Ω(θ
2) + 2Ω(θ
3) = 2Ω(θ
1±θ
2) + 2Ω(θ
1±θ
3) + Ω(θ
2±θ
3) in Banch space using direct and fixed point methods.
Eccentric connectivity polynomial [ECP] of some standard graphs
Authors: Rajeshwari M , Itagi Huilgol Medha 
Published: August 2020

AbstractEccentric connectivity index of a graphGdenoted byξc(G), can be defined asξc(G)=∑v∈V(G)degG(v).ecc(v)heredeqG(v) represents the vertex degree ofvinGand andecc(v) =max[(x,v)//x∈V(G)] eccentricity ofv, is the distance to a farthest vertex fromvand it is denoted byξc(G). Also corresponding Eccentric connectivity polynomial [ECP] is denoted byECP(G,x) is given by,ECP(G,x)=∑v∈V(G)degG(v).xeccv. This paper consists of Eccentric Connectivity polynomial [ECP] of some standard graphs and for some class of graphs.
Uniqueness along with value distribution of q-shift linear difference polynomials
Authors: Harina Waghamore P , Anand Sangeetha 
Published: August 2020

Abstract
This research article investigates the value distribution of linear difference polynomial

L
(
ϕ
)
=

∑

j
−
1

s

b
j

ϕ
(

q
j

z
+

c
j

)

where

b
j

,

c
j

∈
ℂ

. We look into the uniqueness problems when two difference products of entire functions share one value with finite weight. Our results generalizes the previous theorems of existing studies.
NS(WG) separation axioms in Neutrosophic topological spaces
Authors: Suresh R , Palaniammal S 
Published: August 2020

Abstract
Smarandache presented and built up the new idea of Neutrosophic concepts from the Neutrosophic sets. A.A. Salama presented Neutrosophic topological spaces by utilizing the Neutrosophic sets. Point of this paper is we present and concentrate the Neutrosophic topological spaces. Neutrosophic wgTg spaces, Neutrosophic wgTα spaces and Neutrosophic wgTαg spaces and its Properties are talked about subtleties.
Numerical simulation on mixed magneto-convection in a tilted lid-driven box with sinusoidal heating
Authors: Sivasankaran S , Alshomrani Ali S , Alshumrani Majed 
Published: August 2020

Abstract
An unsteady combined convective flow and energy transfer in an inclined lid-driven square box with sinusoidal boundary temperatures at the vertical sidewalls in the presence of uniform magnetic field is numerically investigated. The horizontal sides of the box are thermally insulated. The governing equations are numerically solved by using finite difference method. The results are discussed for various groupings of the governing parameters, inclination angle, phase deviation, amplitude ratio, Richardson number and Hartmann number. The sinusoidal heating provides a higher energy transfer than a constant thermal distribution while the amplitude ratio can be raised to attain such heat distribution along any sidewall of the box.
Star-rainbow coloring in some corona product graphs
Authors: Sunita Jagannatharao Kulkarni , Murali R 
Published: August 2020

Abstract
A “rainbow connected graph” is a connected graph in which every pair of distinct vertices in it has a rainbow path, in the sense that no two edges in this path are colored the same. The rainbow connection number of a connected graph G, denoted by rc(G), is the “minimum” number colors necessary to color G such that it has a rainbow path between every pair of its vertices. Further, G is said to be star-rainbow colored if every path on four vertices in it is rainbow colored. The “minimum” number of colors that are necessary to color G such that it is star-rainbow colored is called the “star-rainbow connection number” of G, denoted by strrc(G). In this article, we consider some corona product graphs involving Pn
, Kn
, Cn
and K
1,n
and find strrc(G) for such graphs.
Status of CME Search Before Isobar Collisions and Methods of Blind Analysis From STAR
Authors: Tribedy Prithwish 
Published: August 2020

Abstract
The STAR collaboration is currently pursuing the blind analysis of the data for isobar collisions that was performed at RHIC in the year 2018 to make a decisive test of the Chiral Magnetic Effect (CME). Why is it so difficult to detect signals of CME in the experiment? Do we really understand different sources of background? Why observing similar charge separation between p/d + A and A + A does not stop us from pursuing the search for CME? In this contribution, I attempt to address some of these questions and briefly outline a few recent STAR analyses based on new methods and observables to isolate the possible CME-driven signal and non-CME background contributions at the top RHIC energy. Finally, I describe the procedure for the blind analysis of the isobar data. An outstanding question remains – what happens if we go down in energy? I address this by discussing how the new event-plane detector (EPD) upgrade provides a new capability at STAR towards CME search using the data from the RHIC BES-II program.
Probing the QCD phase structure using event-by-event fluctuations
Authors: Nayak Tapan K. 
Published: August 2020

Abstract
Heavy-ion collisions at relativistic energies probe matter at extreme conditions of temperatures and energy densities. The study of event-by-event fluctuations of experimental observables is crucial to probe the QCD phase transition, locate the critical point, and learn about the associated critical phenomena. At the critical point, all thermodynamic quantities behave anomalously. Fluctuation measurements provide access to thermodynamic response functions. We discuss the methods for obtaining the isothermal compressibility using particle multiplicity fluctuation, and specific heat using fluctuations in mean transverse momentum, temperature, and energy. Lattice QCD calculations have predicted non-monotonic behavior in the higher-order cumulants of conserved quantities at the critical point. Fluctuations in the multiplicity of charged to neutral particles have been measured to understand the formation of domains of disoriented chiral condensates. We review the recent fluctuation results as a function of collision centrality and energy from experiments at SPS, RHIC, and LHC. In addition, we propose to map the temperature fluctuations in η-φ plane to probe local fluctuations of temperature and energy density.
The QCD transition line from lattice simulations
Authors: Ratti Claudia , Bellwied Rene , Borsanyi Szabolcs , Fodor Zoltan , Guenther Jana N. , Kara Ruben , Katz Sandor , Parotto Paolo , Pasztor Attila , Szabo Kalman 
Published: August 2020

Abstract
We present our new results for the QCD transition line at finite chemical potential μB
from first principle, lattice QCD simulations. We extrapolate our results from imaginary chemical potentials, up to

μ
B

≈
300
​

MeV

. We obtain the most precise value for the transition temperature, the curvature of the QCD phase diagram and its fourth order correction. The results are continuum extrapolated, based on Nt
= 10, 12, 16 lattices. We also study the height and width of the peak of the chiral susceptibility and how they change with increasing chemical potential. We find that both of them are consistent with a constant, which does not indicate any criticality in our explored
New channels of prompt-photon production by magnetic fields in heavy-ion collisions
Authors: Ayala Alejandro , David Castaño-Yepes Jorge , Dominguez Jimenez Isabel , Salinas San Martín Jordi , Elena Tejeda-Yeomans María 
Published: August 2020

Abstract
In this work I present recent results on the photon yield and elliptic flow coefficient in relativistic heavy-ion collisions for different centralities. In our calculation, we take into account gluon fusion and splitting channels which become available due to an intense and short-lived magnetic field. We show that with reasonable values for the saturation scale, our calculation helps to better describe the experimental results obtained at RHIC energies for the lowest part of the transverse photon momentum at different centralities.
Direct photon production and scaling properties in large and small system collisions
Authors: Khachatryan Vladimir 
Published: August 2020

Abstract
We present recent measurement results of low momentum direct photons obtained by the PHENIX collaboration from Cu+Cu at 200 GeV and Au+Au at 200 GeV, 62.4 GeV, 39 GeV, as well as from p+p and p+Au at 200 GeV. In these measurements a large excess over the scaled reference p+p yield of direct photons is observed in A+A collisions, and a non-zero excess over the scaled p+p yield is found within systematic uncertainties in central p+Au collisions. Based upon the comparison between this recent data and the PHENIX published Au+Au data at 200 GeV, along with including the ALICE Pb+Pb data at 2760 GeV, PHENIX has found that the direct photon pT-spectra and their integrated yield, dNγ
/dy, above 1 GeV/c in pT follow a universal scaling as a function of the charged-hadron multiplicity, (dNch
/dρ])
α
, with α = 1.25. Within experimental uncertainties, the direct photon scaling properties observed in large collision systems is independent of the colliding species, collision centrality selection and center-of-mass energy. One possible explanation is that the photon radiation sources may have similar properties for all colliding large systems across different energies. There is also another trend coming from integrated direct photon pT-spectra of small systems, which suggests that the QGP turn off/on transition region may exist between large and small system collisions.
Status of the MPD Experiment at JINR
Authors: Kisiel Adam 
Published: August 2020

Abstract
The Mega-Science project NICA (Nuclotron-based Ion Collider fAcility) is under construction at the Joint Institute for Nuclear Research (JINR) in Dubna. The Multi-Purpose Detector (MPD) is part of this complex, as a main physics experiment operating there. It aims to study the phase diagram of QCD matter at maximum baryonic density, determine the nature of the phase transition between the deconfined and hadronic matter and perform a search for the conjectured critical point in the diagram. Status of the preparation of critical elements of the infrastructure will be discussed, including the construction of the MPD subsystems.
The designed physics performance of the detector components will be discussed. Spectra of identified hadrons, including hyperons and hypernuclei will be discussed, with emphasis on differential measurement and total yield extraction. The quality of directed and elliptic flow determination will be discussed, with comparison to model expectations. The sensitivity of event-by-event fluctuations and femtoscopic measurements to the nature of the phase transition and the presence of a critical point will be given. Performance of the electromagnetic calorimeter working in conjunction with the tracking system for the di-lepton measurements and the potential for identification of charmed mesons will be described. In summary, all the main components of the physics program of the MPD Collaboration will be presented.
Quark spin – thermal vorticity alignment and the

Λ,Λ¯

polarization in heavy-ion collisions
Authors: Ayala Alejandro , de la Cruz D. , Hernández L. A. , Hernández-Ortíz S. , Salinas J. 
Published: August 2020

Abstract
It has been proposed that the Λ and

Λ
¯

polarizations observed in heavy-ion collisions are due to the interaction between quark spin and thermal vorticity. In this work we report on a computation of the relaxation time required for this alignment to occur at finite temperature and baryon chemical potential, considering quarks with a finite mass. The calculation is performed after modelling the interaction by means of an effective vertex which couples the thermal gluons and quarks within the vortical medium. We show that the effect of the quark mass is to reduce the relaxation time as compared to the massless quark case. An intrinsic global polarization of quarks/antiquarks emerges which is shown to be linked with the

Λ
/

Λ
¯

polarization.
Calculation of ET
from single particle spectra
Authors: Nattrass Christine , Sharma Biswas , Sorensen Soren , Smith Ben , Mengel Tanner , Hughes Charles , Webb Nathan 
Published: August 2020

Abstract
In high energy heavy ion collisions, measurements of transverse energy (ET
) can constrain the initial energy density and therefore provide insight into the formation of the Quark Gluon Plasma (QGP). This is particularly interesting in regions where it is unclear if the QGP is formed. The ET
in a collision can be measured either from a calorimeter or calculated from the single particle momentum spectra. We use spectra measured by the STAR collaboration to calculate the transverse energy in heavy ion collisions in Au+Au collisions at

S

NN

=
7.7
−
200

GeV

. These calculations are compared to PHENIX measurements using a calorimeter.