Asymptotic Analysis of a Modified Lorenz System

Chin. Phys. Lett.

2002, Vol. 19

Issue (9): 1260-1263 DOI:

Original Articles

Asymptotic Analysis of a Modified Lorenz System

LÜ Jin-Hu¹;CHEN Guan-Rong²;YU Yong-Guang³

¹Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080 ²Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong ³Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080

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LÜ, Jin-Hu, CHEN Guan-Rong et al 2002 Chin. Phys. Lett. 19 1260-1263

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Abstract We investigate the dynamical behaviour of a modified Lorenz system. Some basic dynamical properties such as bifurcations, routes to chaos, periodic windows, and some Poincaré mappings of this system are studied, either analytically or numerically. Also, the compound structure of the butterfly-shaped attractor is explored.

Keywords: 05.45.Gg 05.45.Pq

Published: 01 September 2002

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I9/01260

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