| 时滞耦合Lorenz-Rossler系统的Hopf分岔和广义同步 |
| |
| 引用本文： | 裴利军,李坤花. 时滞耦合Lorenz-Rossler系统的Hopf分岔和广义同步[J]. 郑州大学学报(理学版), 2010, 42(4) |
| |
| 作者姓名： | 裴利军 李坤花 |
| |
| 作者单位： | 1. 郑州大学,数学系,河南,郑州,450001
2. 郑州大学,数学系,河南,郑州,450001;济源职业技术学院,河南,济源,454650 |
| |
| 基金项目： | 国家自然科学基金资助项目,编号10702065 |
| |
| 摘 要： | 利用时滞动力学分析软件DDE-BIFTOOL研究时滞耦合Lorenz-Rossler系统的动力学,揭示耦合和时滞对系统动力学的影响.对于单向时滞耦合情况,仅耦合会影响系统的平衡点和稳定性,时滞不会影响其局部的动力学.但是对于双向时滞耦合情况,不仅耦合会影响其动力学,而且时滞也会影响其动力学,使得系统出现稳定Hopf分岔,因此两个系统广义同步,即时滞可能会抑制混沌行为.
|
| 关 键 词： | 混沌 广义同步 时滞 Hopf分岔 |
Hopf Bifurcation and Generalized Synchronization of the Delayed Coupled Lorenz-Rossler System |
| |
| PEI Li-jun , LI Kun-hua. Hopf Bifurcation and Generalized Synchronization of the Delayed Coupled Lorenz-Rossler System[J]. Journal of Zhengzhou University(Natrual Science Edition), 2010, 42(4) |
| |
| Authors: | PEI Li-jun LI Kun-hua |
| |
| Affiliation: | PEI Li-jun1,LI Kun-hua1,2(1.Department of Mathematics,Zhengzhou University,Zhengzhou 450001,China,2.Jiyuan Vocational and Technical College,Jiyuan 454650,China) |
| |
| Abstract: | Dynamics of the coupled Lorenz-Rossler system with delay is considered by employing the analysis software of the delayed dynamical systems,DDE-BIFTOOL.The effects of the coupling and delay on the dynamics of the system are disclosed.For the unidirectional delayed coupled system,only the coupling effects the equilibria and their stability,but delay can't effect the local dynamics.But for the bidirectional delayed coupled system, not only the coupling but also delay can effect the local dynamics.The stable Ho... |
| |
| Keywords: | chaos generalized synchronization time delay Hopf bifurcation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
