Winners
Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach
Jordi-Lluís Figueras, Àlex Haro and Alejandro Luque
Winners
Rigorous Computer-Assisted Application of KAM Theory: A Modern Approach
Jordi-Lluís Figueras, Àlex Haro and Alejandro Luque
Period
works until January 31, 2017
Award ceremony
Date
June 2017
Place
Institute of Catalan Studies
Place
Institute of Catalan Studies
Resolution of the Barcelona Dynamical Systems 2017 award under the patronage of Professor Carles Simó i Torres
In this article, the authors introduce new KAM strategies for constructing invariant tori. The new material consists of improvements to theoretical and computational methods that yield stronger results in concrete examples, such as the standard map, the non-twist standard map, and the Froeschlé map. Remarkably, the value obtained for the standard map is nearly optimal.
Committee
John Guckenheimer
Cornell University
Enrique Pujals
IMPA
Rick Moeckel
University of Minnesota
Robert Roussarie
Université de Bourgogne
Anatoly Neishtadt
Loughborough University
Amadeu Delshams
UPC, Secretary of the jury without vote