耦合映像系统的最大Lyapunov指数

THE LARGEST LYAPUNOV EXPONENT OF COUPLED MAP LATTICE SYSTEMS

对ｌｏｇｉｓｔｉｃ 耦合映像的最大Ｌｙａｐｕｎｏｖ 指数研究发现： 在混沌区参数内， 在系统尺度足够大而耦合强度具有较大值时， 系统的最大Ｌｙａｐｕｎｏｖ 指数存在一个不随尺度和耦合强度变化的平台．

Based on the investigation of the largest Lyapunov exponent of coupled map lattice 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, the largest Lyapunov exponent of the system has a plateau which does not vary with the size and the coupling coefficient. The physical meaning of this flat plateau is discussed.