Determination of the largest Lyapunov exponent of discrete dynamical system by using wavelet analysis

Ying Wu · Journal of Lanzhou University of Technology · 2006

The largest Lyapunov exponent of a discrete dynamical system can be obtained by calculating the largest Lyapunov exponent of the small-scale wavelet transform modulus of the discrete dynamical system.The results show that the effect of the difference in transformation scale on the calculation result is different and the effect of the difference in wave functions on the results is little.And the calculation of the largest Lyapunov exponent with the small-scale wavelet transform modulus can efficiently eliminate the effect of strong large-scale noise.

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