SPECTRAL ANALYSIS OF NONLINEAR SYSTEMS WITH CHAOTIC DYNAMICS
Abstract
Using the model problems of Ressler and Sprott as examples, methods of spectral analysis of the dynamics
of systems with chaotic behavior are considered. The insufficiency of the traditional approach to the study of the
dynamics of perturbations based on the analysis of the roots of the classical spectral equation is noted. It is
proposed to use spectral equations with different eigenvalues to study such systems, which make it possible to take
into account the randomness and multiplicity of states.
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