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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.
1994
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号21期号:3页码:289-298
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.
部门归属ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA; UNIV SCI & TECHNOL CHINA,CTR NONLINEAR SCI,HEFEI 230026,PEOPLES R CHINA
关键词Systems
学科领域Physics
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收录类别SCI
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/11918
专题理论物理所SCI论文
通讯作者WANG, BH , UNIV SCI & TECHNOL CHINA,DEPT MODERN PHYS,HEFEI 230026,PEOPLES R CHINA.
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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[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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