Wavelet analysis of chaotic systems

Abstract A nonlinear dynamical system (Van der Pol) is analyzed by investigating the behavior of the corresponding wavelet coefficients. The wavelet coefficients are strictly related to local changes, thus giving information on the differential properties of a function. The main features of the dynamical system, such as periodic motion, asymptotic stability, etc., will be given in terms of the wavelet coefficients, eventually depending on the parameter .

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