@Article{JNMA-7-1,
author = {Xiongxiong, Du and Xiaoling, Han 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 = {https://global-sci.com/article/91680/chaos-control-and-behavior-analysis-of-a-discrete-time-dynamical-system-with-competitive-effect}
}