Homoclinic bifurcation to a transitive attractor of Lorenz type

R Clark Robinson*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

88 Scopus citations

Abstract

The author proves that a cubic differential equation in three dimensions has a transitive attractor similar to that of the geometric model of the Lorenz equations. In fact, what is proved is that such an attractor results if a double homoclinic connection of a fixed point with a resonance condition among the eigenvalues is broken in a careful way.

Original languageEnglish (US)
Article number001
Pages (from-to)495-518
Number of pages24
JournalNonlinearity
Volume2
Issue number4
DOIs
StatePublished - Dec 1 1989

ASJC Scopus subject areas

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

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