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分布时滞广义Kuramoto-Sivashinsky系统的稳定性及Hopf分岔分析

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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.
Stability and Hopf Bifurcation Analysis of a New Generalized Kuramato-Sivashinsky Chaotic System with Distributed Delay
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.

Distributed delayGeneralized Kuramoto-Sivashinsky systemLocal stabilityHopf bifurcation

陈世昊、管俊彪

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杭州电子科技大学理学院,浙江 杭州 310018

分布时滞 广义Kuramoto-Sivashinsky系统 局部稳定性 Hopf分岔

2024

杭州电子科技大学学报
杭州电子科技大学

杭州电子科技大学学报

影响因子:0.277
ISSN:1001-9146
年,卷(期):2024.44(11)