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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/21863

Stable heteroclinic cycles and symbolic dynamics

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Let S 1 0, S 1 1,...,S 1 n−1 be n circles. A rotation in n circles is a map f:∪ i=0 n−1 S 1 i →∪ i=0 n−1 S 1 i 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.

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ALSEDÀ I SOLER, Lluís, GAMBAUDO, Jean-Marc and MUMBRÚ I RODRIGUEZ, Pere. Stable heteroclinic cycles and symbolic dynamics. Chaos. 1994. Vol. 4, num. 2, pags. 407-419. ISSN 1054-1500. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/21863

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