Article ID Journal Published Year Pages File Type
473805 Computers & Mathematics with Applications 2010 8 Pages PDF
Abstract

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.

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Physical Sciences and Engineering Computer Science Computer Science (General)
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