THE PLATEAU AND SYMMETRICAL STRUCTURE OF LYAPUNOV EXPONENTS IN 2-DIMENSIONAL HOMOGENEOUS DISSIPATIVE MAP

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	THE PLATEAU AND SYMMETRICAL STRUCTURE OF LYAPUNOV EXPONENTS IN 2-DIMENSIONAL HOMOGENEOUS DISSIPATIVE MAP
	WANG, BH; WANG, BH , UNIV SCI & TECHNOL CHINA,DEPT MODERN PHYS,HEFEI 230026,PEOPLES R CHINA.
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	1994
卷号	21 期号:3 页码:289-298
关键词	Systems
ISSN号	0253-6102
英文摘要	The universal crossover behavior of Lyapunov exponents in transition from conservative limit to dissipative limit of dynamical system is studied. We discover numerically and prove analytically that for homogeneous dissipative two-dimensional maps, along the equal dissipation line in parameter space, two Lyapunov exponents lambda1 and lambda2 of periodic orbits possess a plateau structure, and around this exponent plateau value, there is a strict symmetrical relation between lambda1 and lambda2 no matter whether the orbit is periodic, quasiperiodic, or chaotic. The method calculating stable window and Lyapunov exponent plateau widths is given. For Henon map and 2-dimensional circle map, the analytical and numerical results of plateau structure of Lyapunov exponents for period-1, 2 and 3 orbits are presented.
学科主题	Physics
URL标识	查看原文
公开日期	2012-08-29
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/11918]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	WANG, BH , UNIV SCI & TECHNOL CHINA,DEPT MODERN PHYS,HEFEI 230026,PEOPLES R CHINA.
推荐引用方式 GB/T 7714	WANG, BH,WANG, BH , UNIV SCI & TECHNOL CHINA,DEPT MODERN PHYS,HEFEI 230026,PEOPLES R CHINA.. THE PLATEAU AND SYMMETRICAL STRUCTURE OF LYAPUNOV EXPONENTS IN 2-DIMENSIONAL HOMOGENEOUS DISSIPATIVE MAP[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,1994,21(3):289-298.
APA	WANG, BH,&WANG, BH , UNIV SCI & TECHNOL CHINA,DEPT MODERN PHYS,HEFEI 230026,PEOPLES R CHINA..(1994).THE PLATEAU AND SYMMETRICAL STRUCTURE OF LYAPUNOV EXPONENTS IN 2-DIMENSIONAL HOMOGENEOUS DISSIPATIVE MAP.COMMUNICATIONS IN THEORETICAL PHYSICS,21(3),289-298.
MLA	WANG, BH,et al."THE PLATEAU AND SYMMETRICAL STRUCTURE OF LYAPUNOV EXPONENTS IN 2-DIMENSIONAL HOMOGENEOUS DISSIPATIVE MAP".COMMUNICATIONS IN THEORETICAL PHYSICS 21.3(1994):289-298.