Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
473805 | Computers & Mathematics with Applications | 2010 | 8 Pages |
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)
Authors
R. Benítez, V.J. Bolós, M.E. Ramírez,