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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2007, Vol. 8 Issue (9): 1408-1413    DOI: 10.1631/jzus.2007.A1408
Civil Engineering & Mechanics     
Nonlinear dynamics analysis of a new autonomous chaotic system
CHU Yan-dong, LI Xian-feng, ZHANG Jian-gang, CHANG Ying-xiang
School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China; 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.

Key words： Hot rolling conditions      Retained austenite      Hot rolled multiphase steels      Mechanical properties     
Received: 02 February 2007     
CLC:  O322  
  TB535  
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CHU Yan-dong
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CHANG Ying-xiang
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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. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(9): 1408-1413.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2007.A1408     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2007/V8/I9/1408

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