Awards
Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach
Jordi-Lluís Figueras, Àlex Haro i Alejandro Luque
Awards
Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach
Jordi-Lluís Figueras, Àlex Haro i Alejandro Luque
Edition
papers published before January 31st, 2017
Award ceremony
Date
juny de 2017
Place
Institut d’Estudis Catalans
Place
Institut d’Estudis Catalans
Barcelona Dynamical Systems 2017 under the patronage of Professor Carles Simó i Torres
In this paper, the authors introduce new KAM strategies for constructing invariant tori. The new material consists of improvements in theoretical and computational methods that produce stronger results in concrete examples, like the standard map, the standard non-twist map and the Froeschlé map. Remarkably, the threshold value obtained in the standard map appears to be almost optimal.
Jury
John Guckenheimer
Cornell University
Enrique Pujals
IMPA
Rick Moeckel
University of Minnesota
Robert Roussarie
Université de Bourgogne
Anatoly Neishtadt
Loughborough University
Amadeu Delshams
UPC, Secretari del jurat sense vot
