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$C^1$-continuation of
periodic orbits from homoclinics
Chong-Qing Cheng and Min Zhou |
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Vol. 317 (2022), No. 1, 67–118
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Abstract |
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We study the continuation of periodic orbits from various compounds of homoclinics in a classical system. They make up -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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Keywords
normally hyperbolic invariant cylinder, Arnold diffusion
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Mathematical Subject Classification
Primary: 37J40, 37J46
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Milestones
Received: 4 February 2021
Revised: 31 August 2021
Accepted: 2 October 2021
Published: 19 June 2022
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Authors |
| Chong-Qing Cheng | |
| Department of Mathematics Nanjing University Nanjing China |
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| Min Zhou | |
| Department of Mathematics Nanjing University Nanjing China |
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