Chaos and hyperchaos arising from the destruction of multifrequency tori

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

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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.

Original languageEnglish
Article number110998
JournalChaos, Solitons and Fractals
Volume147
DOIs
StatePublished - Jun 2021

Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

Keywords

  • Chaos
  • Hyperchaos
  • Lyapunov exponents
  • Multi-contour generator
  • Quasiperiodic oscillations

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