A wavelet-based tool for studying non-periodicity

作者：Benitez R^*; Bolos V J; Ramirez M E

来源：Computers & Mathematics with Applications, 2010, 60(3): 634-641.

DOI：10.1016/j.camwa.2010.05.010

• Non-periodicity
• Wavelets
• Chaotic dynamical systems

This paper presents a new numerical approach to the study of non-periodicity in signals, which can complement the maximal Lyapunov exponent method for determining chaos transitions of a given dynamical system. The proposed technique is based on the continuous wavelet transform and the wavelet multiresolution analysis. A new parameter, the scale index, is introduced and interpreted as a measure of the degree of the signal's non-periodicity. This methodology is successfully applied to three classical dynamical systems: the Bonhoeffer-van der Pol oscillator, the logistic map, and the Henon map.

• 出版日期2010-8