Shilnikov homoclinic orbit bifurcations in the Chua's circuit

R. O. Medrano-T., Murilo Da Silva Baptista, I. L. Caldas

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11 Citations (Scopus)

Abstract

We analytically describe the complex scenario of homoclinic bifurcations in the Chua's circuit. We obtain a general scaling law that gives the ratio between bifurcation parameters of different nearby homoclinic orbits. As an application of this theoretical approach, we estimate the number of higher order subsidiary homoclinic orbits that appear between two consecutive lower order subsidiary orbits. Our analytical finds might be valid for a large class of dynamical systems and are numerically confirmed in the parameter space of the Chua's circuit. (c) 2006 American Institute of Physics.

Original languageEnglish
Number of pages9
JournalChaos
Volume16
Issue number4
DOIs
Publication statusPublished - Dec 2006

Keywords

  • unstable periodic-orbits
  • saddle-focus
  • chaotic attractors
  • strange sets
  • systems
  • equations
  • dynamics
  • curve

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