离散化
独特性
混沌(操作系统)
分叉
分叉理论的生物学应用
控制理论(社会学)
数学
理论(学习稳定性)
跨临界分岔
混沌控制
应用数学
鞍结分岔
控制(管理)
物理
数学分析
计算机科学
混沌同步
非线性系统
人工智能
计算机安全
量子力学
机器学习
作者
Anuraj Singh,Preeti Deolia
标识
DOI:10.1016/j.cnsns.2020.105313
摘要
In this work, a discretized two-dimensional Leslie-Gower prey-predator model is investigated. The results for the existence and uniqueness and the conditions for the local asymptotic stability of the solutions are determined. It is also exhibited that the discrete system undergoes Neimark-Sacker, flip and fold bifurcation under certain conditions. The discretized system exhibits wide range of complex dynamical behavior viz. periodicity, quasi periodicity and chaos with respect to different parameters. Further, three control methods: state feedback, pole-placement and hybrid control are deployed to control the chaos in the system. Under certain conditions, chaos and bifurcation of the system are stabilized through the control strategies. The extensive numerical simulation is done to demonstrate the analytical findings.
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