Decomposition of strong nonlinear oscillations via modified continuous wavelet transform

Eugene B. Postnikov, Elena Alexandrovna Lebedeva · Physical Review E · 2010

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.

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