The largest Lyapunov exponent of chaotic dynamical system in scale space and its application.
The largest Lyapunov exponent is an important invariant of detecting and characterizing chaos produced from a dynamical system. We have found analytically that the largest Lyapunov exponent of the small-scale wavelet transform modulus of a dynamical system is the same as the system's largest Lyapunov exponent, both discrete map and continuous chaotic attractor with one or two positive Lyapunov exponents. This property has been used to estimate the largest Lyapunov exponent of chaotic time series with several kinds of strong additive noise.
Liu
Hai-Feng
HF
East China University of Science and Technology, Shanghai 200237, People's Republic of China. hfliu@ecust.edu.cn
Yang
Yong-Zhe
YZ
Dai
Zheng-Hua
ZH
Yu
Zun-Hong
ZH