| 双时滞Rossler系统的分支分析与混沌控制 |
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| 引用本文： | 杨纪华,刘媚,李艳秋. 双时滞Rossler系统的分支分析与混沌控制[J]. 河南师范大学学报(自然科学版), 2015, 0(2): 34-39 |
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| 作者姓名： | 杨纪华 刘媚 李艳秋 |
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| 作者单位： | 宁夏师范学院数学与计算机科学学院;南京工业大学理学院 |
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| 基金项目： | 国家自然科学基金(11361046;11301263);宁夏自然科学基金(NZ13213);宁夏高等学校科研项目(宁教高[2014]222号(16;17)) |
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| 摘 要： | 从稳定性与混沌控制的角度,研究了双时滞Rossler系统,这些系统通常出现在发送和接收信号的有源传感问题中.首先,从对系统的特征方程根的分布分析入手,研究时滞对系统平衡点稳定性、Hopf分支及Hopfzero分支存在性的影响;其次,通过选择合适的几何因子和时滞,混沌振荡转变为稳定的平衡点或稳定的周期轨;最后,数值模拟验证了理论结果.
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| 关 键 词： | 双时滞 稳定性 Hopf分支 Hopf-zero分支 混沌控制 |
Bifurcation Analysis and Chaos Control of Rossler System with Two Time Delays |
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| YANG Jihua;LIU Mei;LI Yanqiu. Bifurcation Analysis and Chaos Control of Rossler System with Two Time Delays[J]. Journal of Henan Normal University(Natural Science), 2015, 0(2): 34-39 |
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| Authors: | YANG Jihua LIU Mei LI Yanqiu |
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| Affiliation: | YANG Jihua;LIU Mei;LI Yanqiu;Department of Mathematics and Computer Science,Ningxia Normal University;Department of Science,Nanjing University of Technology; |
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| Abstract: | From the view of stability and chaotic control,the Rossler system with two time delays is investigated.Usually these systems occur in active sensing problems where a signal is transmitted and received.Firstly,by analyzing the distribution of the roots of associated characteristic equation,we consider the effect of delay on the stability of equilibrium point and the existence of Hopf bifurcation and Hopf-zero bifurcation.Secondly,by designing appropriate geometric factors and delays,chaotic oscillation is converted into stable equilibrium or stable periodic orbits.Finally,some numerical simulation are carried out to support the analytic results. |
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| Keywords: | two time delays stability Hopf bifurcation Hopf-zero bifurcation chaos control |
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