Symbolic Dynamics for Transition Tori-II

Marian Gidea () and Clark Robinson ()
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Marian Gidea: Northeastern Illinois University, Department of Mathematics
Clark Robinson: Northwestern University, Departament de Mathematics

A chapter in New Advances in Celestial Mechanics and Hamiltonian Systems, 2004, pp 95-108 from Springer

Abstract: Abstract We use Conley index theory to approach the problem of the transition tori of Arnold which have transverse intersections. We prove that near any finite collection of transition tori, there exists a set invariant for a certain power of the symplectic diffeomorphism, on which the dynamics is semi-conjugate to a full shift. Our treatment relies on an earlier article of C. Robinson.

Keywords: Arnold diffusion; Conley index; symbolic dynamics; transition tori (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-9058-7_6

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DOI: 10.1007/978-1-4419-9058-7_6

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