2000•Acta Physica SinicaOpen access

The Largest Lyapunov Exponent of Coupled Map Lattice Systems

Shi Peng-Liang, Gang Xiang Hu, XU Li-mei, 北京师范大学物理系,北京100875

Abstract

Based on the investigation of the largest Lyapunov exponent of coupled map latti ce systems it is found that in the parameter region of chaos if the system is large enough and the coupling coefficient is neither too small nor too large th e largest Lyapunov exponent of the system has a plateau which does not vary wit h the size and the coupling coefficient. The physical meaning of this flat pla teau is discussed.

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Key concepts: Lyapunov exponent, Coupled map lattice, Plateau (mathematics), Exponent, Coupling (piping), Coupling coefficient of resonators, Physics, Statistical physics