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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
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
KeywordSystems
AbstractThe 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.
1994
ISSN0253-6102
Volume21Issue:3Pages:289-298
Subject AreaPhysics
Indexed BySCI
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/11918
Collection理论物理所科研产出_SCI论文
Corresponding AuthorWANG, BH , UNIV SCI & TECHNOL CHINA,DEPT MODERN PHYS,HEFEI 230026,PEOPLES R CHINA.
Recommended Citation
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.
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