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Mathematics > Dynamical Systems
Title: Computer-Assisted Proofs of Existence of Invariant Tori in Quasi-periodic Systems via Fourier Methods
(Submitted on 27 Mar 2024)
Abstract: The goal of this paper is to provide a methodology to prove existence of (fiberwise hyperbolic) real-analytic invariant tori in real-analytic quasi-periodic skew-product dynamical systems that present nearly-invariant tori of the same characteristics. The methodology is based on the application of a Newton-Kantorovich theorem whose hypotheses are tested using Fourier analysis methods for a numerical approximation of the parameterization of an invariant torus.
Submission history
From: Eric Sandin Vidal [view email][v1] Wed, 27 Mar 2024 13:46:32 GMT (484kb,D)
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