摘要
最大Lyapunov指数是诊断和描述动力系统混沌的重要参数 .在仿真计算的基础上 ,发现小尺度的小波变换模数的最大Lyapunov指数与离散动力系统本身是一致的 .同时仿真计算还表明 ,由于小尺度小波变换的高通滤波性质 。
The largest Lyapunov exponent is an important parameter of detecting and characterizing chaos produced from a dynamical system. Based on simulative calculation, it has been found that the largest Lyapunov exponent of the small-scale wavelet transform modulus of a discrete dynamical system is the same as the system's. At the same time, the calculated results show that calculating the largest Lyapunov exponent with the small-scale wavelet transform modulus can efficiently eliminate the effect of strong large-scale noiss because of the high-pass filtering characteristic of small-scale wavelet transform.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2001年第12期2311-2317,共7页
Acta Physica Sinica
基金
国家重点基础研究发展规划 (批准号 :G19990 2 2 10 3 )
教育部骨干教师基金资助的课题~~
