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SYMMETRIC ITINERARY SETS

Abstract : We consider a one parameter family of dynamical systems W : [0, 1] → [0, 1] constructed from a pair of monotone increasing diffeomorphisms W_i, such that W_i−1 : [0,1] → [0,1], (i = 0,1). We characterise the set of symbolic itineraries of W using an attractor Ω of an iterated closed relation, in the terminology of McGehee, and prove that there is a member of the family for which Ω is symmetrical.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00796905
Contributor : Nicolae Mihalache <>
Submitted on : Tuesday, March 5, 2013 - 3:08:12 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM
Long-term archiving on: : Thursday, June 6, 2013 - 3:57:01 AM

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  • HAL Id : hal-00796905, version 1

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Michael Barnsley, Nicolae Mihalache. SYMMETRIC ITINERARY SETS. 2011. ⟨hal-00796905⟩

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