Display Abstract

Title Automatic reducibility methods for whiskered tori and their manifolds

Name Rafael de la Llave
Country USA
Email rafael.delallave@math.gatech.edu
Co-Author(s) G. Huguet, A. Haro
Submit Time 2014-04-14 20:08:46
Session
Special Session 117: Rigorous and numerical methods for invariant manifolds
Contents
We present some methods that allow the simultaneous computation of whiskered tori and their stable and unstable manifolds in Hamitonian systems. The methods do not require transformation theory. The theorem has an a-posteriori format, which allows to validate numercal results. It also leads to very efficient algorithms requiring low storage and low operation count. Amusingly, the method to compute the tori and the whiskers may be faster than algorithms to compute just the torus.