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- W2314314256 abstract "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 and of periodic orbits possess a plateau structure, and around this exponent plateau value, there is a strict symmetrical relation between and 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." @default.
- W2314314256 created "2016-06-24" @default.
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- W2314314256 date "1994-04-30" @default.
- W2314314256 modified "2023-10-17" @default.
- W2314314256 title "The Plateau and Symmetrical Structure of Lyapunov Exponents in 2-Dimensional Homogeneous Dissipative Map" @default.
- W2314314256 doi "https://doi.org/10.1088/0253-6102/21/3/289" @default.
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