Heteroclinic orbits in a spherically invariant system

Hans Armbruster; Pascal Chossat

doi:10.1016/0167-2789(91)90173-7

Heteroclinic orbits in a spherically invariant system

Hans Armbruster, Pascal Chossat

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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 language	English (US)
Pages (from-to)	155-176
Number of pages	22
Journal	Physica D: Nonlinear Phenomena
Volume	50
Issue number	2
DOIs	https://doi.org/10.1016/0167-2789(91)90173-7
State	Published - Jun 1991

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/0167-2789(91)90173-7

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title = "Heteroclinic orbits in a spherically invariant system",

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.",

author = "Hans Armbruster and Pascal Chossat",

year = "1991",

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doi = "10.1016/0167-2789(91)90173-7",

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AU - Armbruster, Hans

AU - Chossat, Pascal

PY - 1991/6

Y1 - 1991/6

N2 - 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.

AB - 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.

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DO - 10.1016/0167-2789(91)90173-7

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AN - SCOPUS:0005832106

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JO - Physica D: Nonlinear Phenomena

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IS - 2

ER -

Heteroclinic orbits in a spherically invariant system

Abstract

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