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Spectral Features of Systems With Chaotic Dynamics

Perevoznikov E. N.
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Perevoznikov E. N.: Candidate of physical and mathematical sciences, docent, Mozhaisky Military Space Academy, Saint-Petersburg, Russia

Academic Journal of Applied Mathematical Sciences, 2020, vol. 6, issue 6, 58-65

Abstract: Using the Lorentz model and Hamiltonian systems without dissipation as an example, spectral methods for analyzing the dynamics of systems with chaotic behavior are considered. The insufficiency of the traditional approach to the study of perturbation dynamics based on an analysis of the roots of the classical spectral equation is discussed. It is proposed to study nonlinear systems using the method of constructing spectral equations with different eigenvalues, which allows one to take into account the randomness and multiplicity of states. The spectral features of instability and chaos for systems without dissipation are shown by the example of short-wave perturbations of a flow of a weakly ionized plasma gas.

Keywords: Systems with chaotic dynamics; Instabilities of non-dissipative systems; Spectral analysis methods (search for similar items in EconPapers)
Date: 2020
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