| 周期参数扰动的T混沌系统周期轨道分析 |
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| 引用本文： | 王震,惠小健,孙卫,李永新.周期参数扰动的T混沌系统周期轨道分析[J].数学杂志,2015,35(3):672-682. |
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| 作者姓名： | 王震 惠小健 孙卫 李永新 |
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| 作者单位： | 西京学院应用统计与理学系, 陕西 西安 710123,西京学院应用统计与理学系, 陕西 西安 710123,西京学院应用统计与理学系, 陕西 西安 710123,西京学院应用统计与理学系, 陕西 西安 710123 |
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| 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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| 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.
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| 关 键 词： | Hamilton系统 次谐波Melnikov方法 周期轨道 周期参数扰动 |
| 收稿时间： | 2013/10/29 0:00:00 |
| 修稿时间： | 2014/2/28 0:00:00 |
PERIODIC ORBITS ANALYSIS OF T CHAOTIC SYSTEM WITHPERIODIC PARAMETRIC PERTURBATION |
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| WANG Zhen,XI Xiao-jian,SUN Wei and LI Yong-xin.PERIODIC ORBITS ANALYSIS OF T CHAOTIC SYSTEM WITHPERIODIC PARAMETRIC PERTURBATION[J].Journal of Mathematics,2015,35(3):672-682. |
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| Authors: | WANG Zhen XI Xiao-jian SUN Wei and LI Yong-xin |
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| Institution: | Department of Applied Statistics and Science, Xijing University, Xi''an 710123, China,Department of Applied Statistics and Science, Xijing University, Xi''an 710123, China,Department of Applied Statistics and Science, Xijing University, Xi''an 710123, China and 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. |
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| Keywords: | Hamilton system subharmonic Melnikov methods periodic orbits periodic parametric perturbation |
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