Chaos and hyperchaos arising from the destruction of multifrequency tori

N.V. Stankevich, A.P. Kuznetsov and E.P. Seleznev

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: Appearance of chaotic dynamics as a result of multi-frequency tori destruction is carried out on the example of a model of a multimode generator. Quasiperiodic bifurcations occurring with multi-frequency tori are discussed in the context of the Landau-Hopf scenario. Structure of the parameter space is studied, areas with various chaotic dynamics, including chaos and hyperchaos, are revealed. Scenarios of the development of chaotic dynamics are described, the features of chaotic signals of various types are revealed.

Keywords: Multi-contour generator; Chaos; Hyperchaos; Quasiperiodic oscillations; Lyapunov exponents (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003520

DOI: 10.1016/j.chaos.2021.110998

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