TY - JOUR
T1 - Chaos Control and Behavior Analysis of a Discrete-Time Dynamical System with Competitive Effect
AU - Du , Xiongxiong
AU - Han , Xiaoling
AU - Lei , Ceyu
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 43
EP - 61
PY - 2025
DA - 2025/02
SN - 7
DO - http://doi.org/10.12150/jnma.2025.43
UR - https://global-sci.org/intro/article_detail/jnma/23832.html
KW - Predator-prey system, flip bifurcation, Neimark-Sacker bifurcation, competitive effect, chaos.
AB - <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>