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周期参数扰动的T混沌系统同宿轨道分析 被引量：8

Homoclinic orbits analysis of T chaotic system with periodic parametric perturbation
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摘要 针对一类周期参数扰动的T混沌系统,通过变换将系统转化为具有广义Hamilton结构的周期参数扰动的慢变系统,运用Melnikov方法对系统的同宿轨道进行了分析计算,并给出了系统的同宿轨道参数分支条件.同时,通过数值实验,对周期参数扰动控制策略及同宿轨道进行了仿真,验证了文中理论分析的正确性. Using Melnikov method we have analysed and calculated the homoclinic orbits of a slowly varying oscillator, derived from the T chaotic system with generalized Hamiltonian structure under periodic parametric perturbation. Also the parameter bifurcation conditions of homoclinic orbits are obtained. The simulation results demonstrate the feasibility of periodic parametric perturbation control technology, and the correctness of the discussion in this paper.
作者 惠小健 王震 孙卫
机构地区 西京学院基础部
出处 《物理学报》 SCIE EI CAS CSCD 北大核心 2013年第13期146-152,共7页 Acta Physica Sinica
基金 国家自然科学基金(批准号:10971164) 陕西省自然科学基础研究基金(批准号:2011EJ001) 陕西省教育厅科研计划项目(批准号:12JK1077 12JK1073) 西京学院科研基金项目(批准号:XJ120107 XJ120108 XJ120232)资助的课题~~
关键词 HAMILTON系统 MELNIKOV方法 同宿轨道 周期参数扰动 Hamilton system, Melnikov methods, homoclinic orbits, periodic parametric perturbation
分类号 O415.5 [理学—理论物理]
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参考文献4

二级参考文献36

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共引文献33

同被引文献50

  • 1任海鹏,刘丁.基于贝努力映射和CPLD的混沌A／D转换器[J].仪器仪表学报,2007,28(1):42-47. 被引量：14
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  • 3刘崇新.一个超混沌系统及其分数阶电路仿真实验[J].物理学报,2007,56(12):6865-6873. 被引量：74
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  • 10Wang Z. Existence of attractor and control of a 3D differential system[J], Nonlinear Dynamics, 2010, 60(3): 369-373.

引证文献8

二级引证文献34

物理学报
2013年 第13期

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