@Article{JNMA-7-43,
author = {Du , XiongxiongHan , Xiaoling and Lei , Ceyu},
title = {Chaos Control and Behavior Analysis of a Discrete-Time Dynamical System with Competitive Effect},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {1},
pages = {43--61},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.43},
url = {http://global-sci.org/intro/article_detail/jnma/23832.html}
}