Existence of invariant tori in skew-product systems: A computer assisted approach
Tutor / director / evaluatorLázaro Ochoa, José Tomás
Document typeMaster thesis
Rights accessOpen Access
This work is a computer assisted approach to the study of invariant manifolds in skew-product dynamical systems. More specifically, the existence of an invariant tori under a quasi-periodic perturbation of our system. The goal is to use a computer to prove the theorem that states that a fiberwise hyperbolic invariant tori exists given an approximately invariant one that meets the required hypotheses.