Analytical search for homoclinic bifurcations in the Shimizu-Morioka model

G. Tigan, D. Turaev

Research output: Contribution to journalReview articlepeer-review

32 Scopus citations

Abstract

The existence of a homoclinic butterfly to a saddle with zero saddle value is established analytically for the Shimizu-Morioka model.

Original languageEnglish
Pages (from-to)985-989
Number of pages5
JournalPhysica D: Nonlinear Phenomena
Volume240
Issue number12
DOIs
StatePublished - 1 Jun 2011
Externally publishedYes

Keywords

  • Homoclinic butterfly
  • Lorenz attractor
  • Shimizu-Morioka system

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