Discrete Dynamics in Nature and Society

Controlling Chaos and Bifurcations in Discrete-Time Population Models


Status
Published

Lead Editor

1University of Poonch, Rawalakot, Pakistan

2Suez Canal University, Ismailia, Egypt

3The University of Poonch, Rawalakot, Pakistan


Controlling Chaos and Bifurcations in Discrete-Time Population Models

Description

The theory of discrete dynamical systems has many applications in almost all branches of the applied sciences. We can understand the nonlinear phenomena and complexity by studying the qualitative behavior of discrete dynamical systems. To a certain extent, the growing interest in difference equations may be also attributed to their simplicity. Although only quite simple computational and graphical representation tools are necessary to study the behavior of the solutions of difference equations and their bifurcations for varying specific parameters within suitable intervals, it is possible to appreciate the complicated and surprisingly diverse dynamics of difference equations. Discrete-time models can be used to study the population dynamics in which time is taken from one generation to next. These discrete-time population models are suitable for nonoverlapping generations and are appropriate to describe the nonlinear dynamics and their chaotic behavior. Controlling chaos and bifurcations refers to the task of designing a controller to modify the chaotic behaviors and bifurcation properties of a given nonlinear system and thereby achieving some desirable dynamical behaviors.

The main objective of this special issue is to provide an opportunity to study the developments like novel chaos and bifurcations control schemes, analytical insights, sensitivity to initial conditions of chaos in discrete-time population models, controlling different type of bifurcations in discrete-time systems, and determination of chaotic behavior through Lyapunov exponents.

We invite authors and researchers to contribute their original research articles as well as review articles.

Potential topics include but are not limited to the following:

  • Development and applications of novel controlling schemes for chaotic behavior and bifurcations in discrete-time models
  • Applications of chaos control and bifurcations in discrete-time models such as host-parasitoid, prey-predator, and Lotka-Volterra type systems
  • Controlling chaos and bifurcations in discrete-time fractional models
  • Chaos control in discrete-time epidemic models
  • Optimal control and synchronization of discrete-time models

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 3476913
  • - Editorial

Controlling Chaos and Bifurcations in Discrete-Time Population Models

Qamar Din | A. A. Elsadany | Hammad Khalil
  • Special Issue
  • - Volume 2017
  • - Article ID 7384150
  • - Research Article

Complex Dynamics and Chaos Control on a Kind of Bertrand Duopoly Game Model considering R&D Activities

Hongliang Tu | Xueli Zhan | Xiaobing Mao
  • Special Issue
  • - Volume 2017
  • - Article ID 3794357
  • - Research Article

Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations

Farooq Ahmed Shah | Maslina Darus | ... | Muhammad Arsalan Shafiq
  • Special Issue
  • - Volume 2017
  • - Article ID 1964286
  • - Research Article

Nonstationary and Chaotic Dynamics in Age-Structured Population Models

Arild Wikan | Ørjan Kristensen
  • Special Issue
  • - Volume 2017
  • - Article ID 6701286
  • - Research Article

Complexity and Application of Tobacco Manufacturer Pricing Game considering Market Segments

Shubing Guo | Junhai Ma | Xueli Zhan
  • Special Issue
  • - Volume 2017
  • - Article ID 9705985
  • - Research Article

Bifurcation Analysis and Chaos Control in a Discrete-Time Predator-Prey System of Leslie Type with Simplified Holling Type IV Functional Response

S. M. Sohel Rana | Umme Kulsum
  • Special Issue
  • - Volume 2017
  • - Article ID 4537450
  • - Research Article

Chaotic Dynamics and Control of Discrete Ratio-Dependent Predator-Prey System

Sarker Md. Sohel Rana
  • Special Issue
  • - Volume 2017
  • - Article ID 2585708
  • - Research Article

Analysis of Nonlinear Duopoly Games with Product Differentiation: Stability, Global Dynamics, and Control

S. S. Askar | A. Al-khedhairi
  • Special Issue
  • - Volume 2017
  • - Article ID 7382150
  • - Research Article

Robust Active MPC Synchronization for Two Discrete-Time Chaotic Systems with Bounded Disturbance

Longge Zhang
  • Special Issue
  • - Volume 2017
  • - Article ID 9475854
  • - Research Article

An Analysis of Discrete Stage-Structured Prey and Prey-Predator Population Models

Arild Wikan
Discrete Dynamics in Nature and Society
 Journal metrics
Acceptance rate21%
Submission to final decision59 days
Acceptance to publication84 days
CiteScore0.990
Impact Factor0.973
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