03-393 Marian Gidea, Clark Robinson.

Symbolic Dynamics for Transition Tori - II (3675K, postscript) Aug 31, 03

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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.

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