On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians

The author is grateful to H. Eliasson, T. Seara, and F. Trujillo for valuable discussions and to the referee for useful comments. This work has been supported by the Juan de la Cierva-Formación Program (FJC2021-044720-I) and the Severo Ochoa and María de Maeztu Program for Centers and Units of Excel...

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Detalles Bibliográficos
Autor: Farré Puiggalí, Gerard|||0000-0001-8770-5430
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/399074
Acceso en línea:https://hdl.handle.net/2117/399074
https://dx.doi.org/10.1007/s00013-023-01928-0
Access Level:acceso abierto
Palabra clave:Hamiltonian systems
Quasi-periodic tori
Effective stability
Sistemes hamiltonians
Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:The author is grateful to H. Eliasson, T. Seara, and F. Trujillo for valuable discussions and to the referee for useful comments. This work has been supported by the Juan de la Cierva-Formación Program (FJC2021-044720-I) and the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence (CEX2020-001084-M). It was completed while the author was in residence at Institut Mittag-Leffler in Djursholm, Sweden, and has therefore also been supported by the Swedish Research Council under grant no. 2021-06594.