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arXiv · 2001.11223

Normally Hyperbolic Invariant Cylinders Passing Through Multiple Resonance

Chong-Qing Cheng·Min Zhou
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Abstract

We study the continuation of periodic orbits from various compound of homoclinics in classical system. Together with the homoclinics, the periodic orbits make up a $C^1$-smooth, normally hyperbolic invariant cylinder with holes. It plays a key role to cross multiple resonant point.

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Chong-Qing Cheng, Min Zhou. 2020-01-30. Normally Hyperbolic Invariant Cylinders Passing Through Multiple Resonance. https://arxiv.org/abs/2001.11223

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