分布时滞广义Kuramoto-Sivashinsky系统的稳定性及Hopf分岔分析
Stability and Hopf Bifurcation Analysis of a New Generalized Kuramato-Sivashinsky Chaotic System with Distributed Delay
陈世昊 1管俊彪1
作者信息
- 1. 杭州电子科技大学理学院,浙江 杭州 310018
- 折叠
摘要
考虑在新型广义 Kuramoto-Sivashinsky 混沌系统中引入分布式时滞反馈控制项并展开研究.首先利用Routh-Hurwitz判据,分别在弱核及强核两种情况下分析平衡点的局域稳定性,其次探讨系统在平衡点处 Hopf分岔出现的条件,最后做数值模拟以此验证理论结果的可行性.
Abstract
This paper mainly studies a class of generalized Kuramoto-Sivashinsky chaotic system with distributed delay.In the case of weak and strong kernel,the Routh-Hurwitz criterion is used to analyse the local stability of equilibrium points.Besides,the requirements for the existence possibility of Hopf bifurcation are also investigated.Finally,the feasibility of the theoretical analysis is shown by presenting numerical simulation experiments.
关键词
分布时滞/广义Kuramoto-Sivashinsky系统/局部稳定性/Hopf分岔Key words
Distributed delay/Generalized Kuramoto-Sivashinsky system/Local stability/Hopf bifurcation引用本文复制引用
出版年
2024
NETL
NSTL
万方数据