| Nonlinear dynamics analysis of a new autonomous chaotic system |
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| 作者姓名： | CHU Yan-dong LI Xian-feng ZHANG Jian-gang CHANG Ying-xiang |
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| 作者单位： | CHU Yan-dong1，LI Xian-feng1，ZHANG Jian-gang1，2，CHANG Ying-xiang1，2 (1School of Mathematics，Physics and Software Engineering，Lanzhou Jiaotong University，Lanzhou 730070，China) (2Nonlinear Science Research Center，Lanzhou Jiaotong University，Lanzhou 730070，China) |
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| 基金项目： | Projeci supported by the National Natural Science Foundation of China （No. 50475109） and the Natural Science Foundation of Gansu Province （No. 3ZS-042-B25-049）, China |
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| 摘 要： | In this paper,a new nonlinear autonomous system introduced by Chlouverakis and Sprott is studied further,to present very rich and complex nonlinear dynamical behaviors. Some basic dynamical properties are studied either analytically or nu-merically,such as Poincaré map,Lyapunov exponents and Lyapunov dimension. Based on this flow,a new almost-Hamilton chaotic system with very high Lyapunov dimensions is constructed and investigated. Two new nonlinear autonomous systems can be changed into one another by adding or omitting some constant coefficients.
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| 关 键 词： | Poincaré sections |
| 收稿时间： | 2 February 2007 |
| 修稿时间： | 2007-02-02 |
Nonlinear dynamics analysis of a new autonomous chaotic system |
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| CHU Yan-dong LI Xian-feng ZHANG Jian-gang CHANG Ying-xiang.Nonlinear dynamics analysis of a new autonomous chaotic system[J].Journal of Zhejiang University Science,2007,8(9):1408-1413. |
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| Authors: | Chu Yan-dong Li Xian-feng Zhang Jian-gang Chang Ying-xiang |
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| Institution: | (1) School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou, 730070, China;(2) Nonlinear Science Research Center, Lanzhou Jiaotong University, Lanzhou, 730070, China |
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| Abstract: | In this paper, a new nonlinear autonomous system introduced by Chlouverakis and Sprott is studied further, to present very
rich and complex nonlinear dynamical behaviors. Some basic dynamical properties are studied either analytically or numerically,
such as Poincaré map, Lyapunov exponents and Lyapunov dimension. Based on this flow, a new almost-Hamilton chaotic system
with very high Lyapunov dimensions is constructed and investigated. Two new nonlinear autonomous systems can be changed into
one another by adding or omitting some constant coefficients.
Project supported by the National Natural Science Foundation of China (No. 50475109) and the Natural Science Foundation of
Gansu Province (No. 3ZS-042-B25-049), China |
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| Keywords: | Lyapunov exponents Bifurcation Chaos Phase space |
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