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

05/08/2023

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by   Victor Linroth, et al.

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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.