Chaos Control and Behavior Analysis of a Discrete-Time Dynamical System with Competitive Effect
Year: 2025
Author: Xiongxiong Du, Xiaoling Han, Ceyu Lei
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 1 : pp. 43–61
Abstract
This paper is about a class of discrete-time dynamical systems with competitive effects. The local stability of the positive equilibrium point of the system and the conditions for the existence of flip bifurcation and Neimark-Sacker bifurcation are discussed by using the center manifold theorem and bifurcation theory. In addition, the direction of the flip bifurcation and Neimark-Sacker bifurcation is given. Furthermore, a feedback control strategy is employed to control bifurcation and chaos in the system. Finally, flip bifurcation, Neimark-Sacker bifurcation and chaos control strategy are verified with the help of numerical simulations.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2025.43
Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 1 : pp. 43–61
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Predator-prey system flip bifurcation Neimark-Sacker bifurcation competitive effect chaos.
Author Details
Xiongxiong Du Email
Xiaoling Han Email
Ceyu Lei Email