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Received: 2007-02-02

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Journal of Zhejiang University SCIENCE A 2007 Vol.8 No.9 P.1408~1413


Nonlinear dynamics analysis of a new autonomous chaotic system

Author(s):  CHU Yan-dong, LI Xian-feng, ZHANG Jian-gang, CHANG Ying-xiang

Affiliation(s):  School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China; more

Corresponding email(s):   lixf1979@126.com

Key Words:  Lyapunov exponents, Bifurcation, Chaos, Phase space, Poincaré, sections

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 A, 2007, 8(9): 1408~1413.

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A1 - CHU Yan-dong
A1 - LI Xian-feng
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J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2007.A1408

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.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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