Homoclinic Bifurcations and Chaos in the Fishing Principle for the Lorenz-like Systems

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3 Scopus citations

Abstract

In this article using an analytical method called Fishing principle we obtain the region of parameters, where the existence of a homoclinic orbit to a zero saddle equilibrium in the Lorenz-like system is proved. For a qualitative description of the different types of homoclinic bifurcations, a numerical analysis of the obtained region of parameters is organized, which leads to the discovery of new bifurcation scenarios.

Original languageEnglish
Article number2050124
JournalInternational Journal of Bifurcation and Chaos
Volume30
Issue number8
DOIs
StatePublished - 30 Jun 2020

Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

Keywords

  • homoclinic bifurcation
  • homoclinic orbit
  • Lorenz attractor
  • Lorenz system
  • Lorenz-like system
  • strange attractor

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