PMID: 21230628Jan 15, 2011

Decomposition of strong nonlinear oscillations via modified continuous wavelet transform

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
E B Postnikov, E A Lebedeva


We propose the modification of the complex wavelet transform adapted for an analysis of strong nonlinear oscillations with a shape far from sinusoidal. It is based on the rotation of transform modulus obtained via usage of the Morlet wavelet in such a way that higher harmonics are merged with a main one. The method is illustrated by application to the analysis of regular and chaotic oscillations generated by the Rössler system.


Feb 1, 1993·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J F MuzyAlain Arneodo
Nov 14, 1988·Physical Review Letters·Alain ArneodoM Holschneider
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H YangR Komanduri
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E B Postnikov


Mar 13, 2018·Evolutionary Computation·Michael FentonMichael O'Neill

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