| 摘要: |
| 本文研究了一类周期参数扰动的T混沌系统的周期轨道问题.利用次谐波Melnikov方法,获得了具有广义Hamilton结构的周期参数扰动的慢变系统的振荡周期轨道和旋转周期轨道. |
| 关键词: Hamilton系统 次谐波Melnikov方法 周期轨道 周期参数扰动 |
| DOI： |
| 分类号:O175.14;O193 |
| 基金项目:陕西省教育厅科研计划项目资助(12JK1077;12JK1073);西京学院科研基金资助(XJ130245;XJ130244). |
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| PERIODIC ORBITS ANALYSIS OF T CHAOTIC SYSTEM WITHPERIODIC PARAMETRIC PERTURBATION |
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WANG Zhen, XI Xiao-jian, SUN Wei, LI Yong-xin
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Department of Applied Statistics and Science, Xijing University, Xi'an 710123, China
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| Abstract: |
| A problem of detecting periodic orbits for the T chaotic system with periodic parametric perturbation is studied in this paper. By using subharmonic Melnikov method, the oscillating periodic orbits and rotating periodic orbits of a slowly varying oscillator with generalized Hamilton structure by periodic parametric perturbation are obtained. |
| Key words: Hamilton system subharmonic Melnikov methods periodic orbits periodic parametric perturbation |
