C-1-CONTINUATION OF PERIODIC ORBITS FROM HOMOCLINICS

PACIFIC JOURNAL OF MATHEMATICS（2022）

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摘要

We study the continuation of periodic orbits from various compounds of homoclinics in a classical system. They make up C-1-smooth, normally hyperbolic invariant cylinders, with which we are able to solve the problem of double resonance in a very simple way.

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关键词

normally hyperbolic invariant cylinder, Arnold diffusion

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