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arXiv · 2305.04640

Computer assisted proofs for hyperbolic quasi-periodic invariant tori in dissipative twist maps

Victor Linroth
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Abstract

This paper outlines an approach for proving existence of hyperbolic quasi-periodic invariant tori using computer assisted methods based on an a posteriori KAM-like theorem. We implement it for the dissipative standard map following the approach and give computer assisted proofs of existence of invariant circles for some parameter choices.

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Victor Linroth. 2023-05-08. Computer assisted proofs for hyperbolic quasi-periodic invariant tori in dissipative twist maps. https://arxiv.org/abs/2305.04640

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