Discrete Dynamics in Nature and Society

Stability and Bifurcations Analysis of Discrete Dynamical Systems


Publishing date
01 Feb 2019
Status
Published
Submission deadline
14 Sep 2018

Guest Editors

1University of Azad Jammu & Kashmir, Muzaffarabad, Pakistan

2Mansoura University, Mansoura, Egypt


Stability and Bifurcations Analysis of Discrete Dynamical Systems

Description

The importance of difference equations cannot be overemphasized. These equations model discrete physical phenomena on one hand and are integral part of numerical schemes used to solve differential equations, on the other hand. This widens the applicability of such equations to many branches of scientific knowledge.

Discrete dynamical systems are described by difference equations and potentially have applications in probability theory, economics, biology, computer science, control engineering, genetics, signal processing, population dynamics, health sciences, ecology, physiology, and physics.

The study of such systems has direct impact on human sciences such as ecosystem, health, population dynamics, and decision-making. This motivated a number of researchers to study the behavior of these systems in recent years. The behavior of system of difference equations means studying equilibrium points, local and global asymptotic stability, semi-conjugacy analysis, prime-period two solutions, rate of convergence, forbidden set, boundedness and persistence, existence and uniqueness of positive equilibrium point, and many more.

The results about these equations pave path towards the development of basic theory of higher-order systems of nonlinear difference equations. If the behavior of a solution, depending on a parameter, changes with the variation in the values of parameter, then a bifurcation occurs. The bifurcation analysis gives more insight about the system under study, especially about the equilibrium points that are sensitive with change of values of parameters.

The aims of this special issue include providing a platform to disseminate original research in the fields of system of difference equations and discrete dynamical systems. This is an excellent opportunity for researchers to share their findings with the scientific community, in general and particularly working in the fields related to the title of the special issue. The researchers can contribute their original work that addresses any aspect of stability and bifurcations analysis of discrete dynamical systems. This special issue includes the study of bifurcation analysis of discrete-time models from economics, biology, ecology, physiology, and physics.

Potential topics include but are not limited to the following:

  • Boundedness and persistence of difference equations and systems of difference equations
  • Existence and uniqueness of positive equilibrium point
  • Local and global asymptotic stability
  • Rate of convergence
  • Periodicity nature of difference equations and systems of difference equations
  • Lyapunov stability analysis
  • Bifurcations analysis like Neimark-Sacker or Hopf bifurcation, subcritical and supercritical Neimark-Sacker bifurcation, transcritical bifurcation, period-doubling, and fold bifurcation of some discrete-time models from biology and ecology.

Articles

  • Special Issue
  • - Volume 2019
  • - Article ID 8474706
  • - Editorial

Stability and Bifurcations Analysis of Discrete Dynamical Systems

A. Q. Khan | Tarek F. Ibrahim
  • Special Issue
  • - Volume 2019
  • - Article ID 7254121
  • - Research Article

Double Delayed Feedback Control of a Nonlinear Finance System

Zhichao Jiang | Yanfen Guo | Tongqian Zhang
  • Special Issue
  • - Volume 2019
  • - Article ID 8341514
  • - Research Article

Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor

Xiaojun Liu | Ling Hong | ... | Dafeng Tang
  • Special Issue
  • - Volume 2018
  • - Article ID 3745769
  • - Research Article

The Impact of User Behavior on Information Diffusion in D2D Communications: A Discrete Dynamical Model

Chenquan Gan | Xiaoke Li | ... | Zufan Zhang
  • Special Issue
  • - Volume 2018
  • - Article ID 4945728
  • - Research Article

Stability Analysis and Control Optimization of a Prey-Predator Model with Linear Feedback Control

Yaning Li | Yan Li | ... | Huidong Cheng
  • Special Issue
  • - Volume 2018
  • - Article ID 6935095
  • - Research Article

Stochastic P-Bifurcation of a Bistable Viscoelastic Beam with Fractional Constitutive Relation under Gaussian White Noise

Yajie Li | Zhiqiang Wu | ... | Feng Wang
  • Special Issue
  • - Volume 2018
  • - Article ID 7052935
  • - Research Article

Global Asymptotic Stability and Naimark-Sacker Bifurcation of Certain Mix Monotone Difference Equation

M. R. S. Kulenović | S. Moranjkić | ... | Z. Nurkanović
  • Special Issue
  • - Volume 2018
  • - Article ID 3676083
  • - Research Article

Exponential Stability and Robust Control for Discrete-Time Time-Delay Infinite Markov Jump Systems

Yueying Liu | Ting Hou
  • Special Issue
  • - Volume 2018
  • - Article ID 6758302
  • - Research Article

An Improved Computationally Efficient Method for Finding the Drazin Inverse

Haifa Bin Jebreen | Yurilev Chalco-Cano
  • Special Issue
  • - Volume 2018
  • - Article ID 8284121
  • - Research Article

Dynamics Analysis and Control of a Five-Term Fractional-Order System

Li-xin Yang | Xiao-jun Liu
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate26%
Submission to final decision52 days
Acceptance to publication33 days
CiteScore1.600
Impact Factor0.870
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