Heteroclinic orbits in a spherically invariant system

Hans Armbruster, Pascal Chossat

Research output: Contribution to journalArticle

18 Citations (Scopus)

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 - 1991

Fingerprint

Heteroclinic Cycle
Heteroclinic Orbit
Orbits
orbits
cycles
Spherical Shell
Invariant
Fluids
spherical shells
Computer simulation
Codimension
Convection
Attractor
convection
Bifurcation
Symmetry
Fluid
Numerical Simulation
fluids
symmetry

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics

Cite this

Heteroclinic orbits in a spherically invariant system. / Armbruster, Hans; Chossat, Pascal.

In: Physica D: Nonlinear Phenomena, Vol. 50, No. 2, 1991, p. 155-176.

Research output: Contribution to journalArticle

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