Stable heteroclinic cycles and symbolic dynamics

Lluís Alsedà; Jean Marc Gambaudo; Pere Mumbrú

doi:https://doi.org/10.1063/1.166019

Stable heteroclinic cycles and symbolic dynamics

Lluís Alsedà, Jean Marc Gambaudo, Pere Mumbrú

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

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Abstract

Let S01, S11,...,S n-11 be n circles. A rotation in n circles is a map f:Ui=0n-1Si1→U i=0n-1Si1 which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps. © 1994 American Institute of Physics.

Original language	English
Pages (from-to)	407-419
Journal	Chaos
Volume	4
DOIs	https://doi.org/10.1063/1.166019
Publication status	Published - 1 Jan 1994

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title = "Stable heteroclinic cycles and symbolic dynamics",

abstract = "Let S01, S11,...,S n-11 be n circles. A rotation in n circles is a map f:Ui=0n-1Si1→U i=0n-1Si1 which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps. {\textcopyright} 1994 American Institute of Physics.",

author = "Llu{\'i}s Alsed{\`a} and Gambaudo, {Jean Marc} and Pere Mumbr{\'u}",

year = "1994",

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doi = "https://doi.org/10.1063/1.166019",

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journal = "Chaos",

issn = "1054-1500",

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T1 - Stable heteroclinic cycles and symbolic dynamics

AU - Alsedà, Lluís

AU - Gambaudo, Jean Marc

AU - Mumbrú, Pere

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N2 - Let S01, S11,...,S n-11 be n circles. A rotation in n circles is a map f:Ui=0n-1Si1→U i=0n-1Si1 which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps. © 1994 American Institute of Physics.

AB - Let S01, S11,...,S n-11 be n circles. A rotation in n circles is a map f:Ui=0n-1Si1→U i=0n-1Si1 which maps each circle onto another by a rotation. This particular type of interval exchange map arises naturally in bifurcation theory. In this paper we give a full description of the symbolic dynamics associated to such maps. © 1994 American Institute of Physics.

U2 - https://doi.org/10.1063/1.166019

DO - https://doi.org/10.1063/1.166019

M3 - Article

VL - 4

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EP - 419

JO - Chaos

JF - Chaos

SN - 1054-1500

ER -