Heteroclinic orbits in a spherically invariant system

Hans Armbruster, Pascal Chossat

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

The existence and stability of structurally stable heteroclinic cycles are discussed in a codimension-2 bifurcation problem with O(3)-symmetry, when the critical spherical modes l = 1 and l = 2 occur simultaneously. Several types of heteroclinic cycles are found which may explain aperiodic attractors found in numerical simulations for the onset of convection in a self-gravitating fluid in a spherical shell.

Original languageEnglish (US)
Pages (from-to)155-176
Number of pages22
JournalPhysica D: Nonlinear Phenomena
Volume50
Issue number2
DOIs
StatePublished - Jun 1991

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics

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