Multistable behavior typically refers to a system that has multiple stable states. To achieve multistability using speed feedback controller, we consider two different Lorenz and Rossler chaotic systems respectively and also find extreme multistability by considering identical coupled chaotic Chen system with mismatch parameters. Numerical simulation outcomes are explained to exhibit the functional capability of the recommended framework to create highly stable multi-state synchronization performance. This work displays a theoretical base for building utmost multistable system for continuous system.
In this brief report we have presented two logical approaches to the work of Bhardwaj et al. [1]) having an issue of non-retrieval of GR from the f(Q) gravity theory. Basically, we have dealt with two distinct schemes to resolve the issue via the following two approaches: (i) when the f(Q) gravity follows the functional relation f(Q) = -Q, and (ii) when one considers the late lime acceleration of the universe. It has been shown that under any one of the logical approaches one can resolve the issue of the coupling parameter (or constant) which was apparently not always getting null or vanishing.
Travel time estimation is a challenging task due to the lots of influential factors. The most preexisting travel time literature assumes travel time follows a specified distribution. Their goal is to find the best fit distribution of travel time based on the observed travel times. Obviously, the role of some influential factors such as intersection signal times, demand variations, supply variations (changing network topology) etc., are neglected. In this paper, the uncertainty of time and its variations which are consequences of numerous stochastic elements such as uncertain travel demand, uncertain driver behaviors, and random arrival time is modelled by calculating the probability density function of travel time on each arterial link. Also, the concept of queuing theory is used to take the stochastic features and queue formation behind intersection signals into account; Additionally, unlike previous model-based methods, the queue of vehicles is modeled as a horizontal queue, and its effects on the travel time are accurately calculated. Also this method is particularly useful in scenarios where, due to changes in the network, the previous data may not be highly reliable or in special situations which there is only an estimate of supply and demand such time Travel time Distribution as, the closure of a street or changes in traffic signal timing or large sporting events or emergency situations etc. Eventually, the proposed model is validated and examined by comparison with micro-simulation experiments.
Thiswork appliesthegeneralized Lotka Volterra (GLV) model to study complete replacement ShubhangiDwived synchroniztioninpopulationdynamics. We examinhowthrefunctionalresponseslinearand Departm nt of Mathem tics, Scho lof Advanced Sciences, Vellore In titute of Technology, Hoing type II andIII-affect the system's overall behaviour. Focusing on the linear functional response, Vellore Tamil Nadu 632014, India we analyze the model's analytical and dynamical properties for three parameter sets, demonstrating a d S h l f M h ic l d S t i l Sci c , K d I di I i f T h l gy chaotic oscillationsand thusstabilizethe unstable fixed points using appropriate controllers. Our Mandi Himachal P ade h 17 005 Inda results showhowchaotic ecologicalmodelscan help forecast populations of competing species in e-mai *: shubhangidwivedi@vitacin new,habitatsAAANitu whenKumariinformationfrom a similar system is available. To do this, we construct a drive-response setup bycoupling predator populaons, where theprey of the drve system acts as the driving School of Mathematical and Statistical Sciences, Kamand, Indian Institu e of Technology, variableand predators in the response system feed only on that prey. Using active and adaptive control andi, m aP de h , di l* i @i di i methods, we achieve synchronization between two coupled GLV models and validate the analytical R jit K ma U dh findingsthrough numerical smulations. Department of Applied Mathe
We analyze the Einstein field equations with variable cosmological and gravitational constants, in the context of a Bianchi type-III universe filled with a perfect fluid. Here the tacit assumption is that the energy-momentum tensor obeys the conservation law. Exact solutions to the EF equations are derived by employing the condition that the scalar of expansion is proportional to the shear scalar, theta proportional to sigma, which leads to a relationship between the metric potentials given by b = cm, assuming m as a constant. The corresponding physical and graphical implications of the cosmological solutions are also investigated.
This study investigates the uniqueness and stability of solutions for infinite-dimensional systems with infinite delay, using almost-sectorial operators and specific conditions on the nonlinear terms. These findings are discussed in the context of recent progress on sectorial and almost-sectorial operators, expanding stability theory to include awider range of time-varying operators and semilinear systems. The applicability of the theoretical findings is illustrated through several examples, including semilinear parabolic problems and abstract equations in Banach and H & ouml;lder spaces. These methods are K y rds In im n a y te , elay q ns, st n , asymptotic stability. demonstrated to be applicable to a wide range of infinite-dimensional systems with delay.
This study focuses on analyzing the hyper-order associated with meromorphic solutions of nonlinear complex differential equations represented by P[g] - Qg gamma P= R, where P[g] denotes a differential polynomial in g, gamma P indicates for the degree of P[g], and the coefficients of P[g], along with Q = Q(z) and R =R(z), satisfy certain prescribed growth conditions.
In this paper we study about the basic geometrical properties for R-complex Finsler space which is equipped with Cubic (alpha,beta)-metric and the metric is defined by (). ab3 + We obtained the fundamental a 2 metric field g ij, g Hermitian space for the R-complex Finsler space equipped with Cubic (alpha,beta)-metric. ij and the inverse of these tensor fields. Further we study the properties of non-
Many academic investigations are now examining dark energy theories in conjunction with cosmic strings and scalar fields since these factors play a crucial part in the examination of the present scenario characterised by the universe's accelerated expansion. A non-static plane-symmetric Tsallis holographic dark energy model is developed in the presence of an attracting massive scalar field and cosmic strings. This paper presents a deterministic solution to the Einstein field equations, using conditions that are both mathematically and theoretically relevant. The model's cosmic dynamical parameters have been determined, including the energy conditions, deceleration parameter (q), statefinders, equation of state parameter (ode), stability analysis, r-q plane, and ode-o'de plane. We have also highlighted their physical significance in the description of our model. Given the current observations, observational bounds of cosmological parameters are included. Our dark energy model appears to correspond with recent cosmological findings.
In this paper, we tackle amore general coordinate-free investigation ofthe second approximation Matsumoto metric. Specifically, we establish various geometric objects corresponding the second approximation Matsumoto metric L(x,y) = L + B + B2/L + B3/L2 in terms of the objects of L with a Finsler structure (M,L) and a one form B. Here we consider L is Finslerian and so we call L generalized second approximation Matsumoto metric. We describe the metric tensor ofL degeneracy. We limit the one form B to a one form associated with a concurent pi-vector field in order to determine the geodesic spray, Barthel, and Berwald connections of L Barthel curvature ofL the and its non . (x,y). Next, we compute the
Vaidya's spacetime is the simplest non-static generalization of Schwarzschild's solution to Einstein's field equation. Vaidya metric represents radiating universe.With the aid of differential forms, various geometrical quantities related to Vaidya metric are obtained. We obtained the electrical parts of the Weyl tensor, it is found that they are related to the radial vector. We explored kinematic parameters in the terms of Ricci rotation coefficients. Also, we investigate behavior of general observer quantities at naked singularity r = 0.
Following the work of Farwig, Galdi, Simader and Sohr [1, 2], we prove existence of a special class of solutions for three-dimensional steady state magnetohydrodynamic flows with non-zero boundary velocity. We compare our results with previously known results on stationary magnetohydrodynamic equations. We also make some remarks on uniqueness of solutions.
In this paper, the di erent magnetic elds on the setting out particle trajectories according to the magnetic ow attached by the Killing magnetic field are given in Q2 ⊂ E31. The surfaces generated by the Killing magnetic field of the ymagnetic curve are expressed according to asymptotic orthonormal frame field {h, b, y} in Q2 ⊂ E31 and, using Clairaut's theorem the conditions being geodesic on these surfaces of rotation are given. Also, the curvatures and the kinetic energy and angular momentum of the surfaces of rotation formed by y-magnetic curve are examined.
Using group theoretic transformation technique, class of similarity solution of heat transfer for MHD boundary layer flow of viscous fluid over a non linear porous surface. This similarity equation which is highly nonlinear ordinary differential equations which is solved numerically for particular fluids so called power-law fluids. The results obtain are found in good agreement with those available in literature.
In this paper, the different magnetic fields on the setting out particle trajectories according to the magnetic flow attached by the Killing magnetic field are given in Q(2) subset of E-1(3). The surfaces generated by the Killing magnetic field of the y-magnetic curve are expressed according to asymptotic orthonormal frame field {eta, beta, y} in Q(2) subset of E-1(3) and, using Clairaut's theorem the conditions being geodesic on these surfaces of rotation are given. Also, the curvatures and the kinetic energy and angular momentum of the surfaces of rotation formed by y-magnetic curve are examined.
In this paper, we investigate the codimension reduction theorem for an n-dimensional submanifold of an (n + p)-dimensional manifold (M, ~g) with a conformal change g = exp(–f)g where g denotes the Fubini-study metric on (n + p)-dimensional complex projective space P n+p/2 (C). Moreover, we tend to calculate the scalar curvature of an n-dimensional CR submanifold of maximal CR dimension of (M; g) and achieve the sufficient conditions for the existence of a totally geodesic submanifold M0 that includes M.
Results on approximate solutions, closeness, continuous dependence of solutions of a certain integro- differential equation with finite delay with nonlocal condition in Banach Space are discussed. The integral inequality established by B.G. Pachpatte is used to obtain the results.
In this paper a fixed point theorem in D- metric space using contractive type mappings is discussed. This work is an extension of the result obtained in [2].
In this paper, we have considered Bianchi type-III space time in the presence of cosmic strings and domain walls within the framework of f(R, T) gravity formulated by Harko et al. (Phys. Rev. D, 84: 024020, 2011). To obtain the exact solution of the corresponding cosmological model, we assume the condition that the shear scalar is directly proportional to the scalar expansion of the space-time and special law of variation for Hubble's parameter proposed by Berman (Nuovo Ciment B, 74:182, 1983). Some physical and kinematical properties of the models are also discussed.
