688 citations
- Université Paris Dauphine-PSLFR14 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Laboratoire de Mathématiques Blaise PascalFR5 papers
- CERMICSFR3 papers
- Institut national de recherche en sciences et technologies du numériqueFR3 papers
- Center for Mathematical ModelingCL2 papers
- Département de mathématiques et applicationsFR2 papers
- Georgia Institute of TechnologyUS2 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR2 papers
- Laboratoire Jacques-Louis LionsFR2 papers
- Sorbonne UniversitéFR2 papers
- Université Paris CitéFR2 papers
5 papers · 1 filter
Perturbation d'un hamiltonien partiellement hyperbolique
Patrick Bernard
Arnold's diffusion in quasi integrable hamiltonian systems occurs in exponentially large time. We study an initially hyperbolic system which admits diffusion in polynomial time.
A generic property of families of Lagrangian systems
Patrick Bernard, Gonzalo Contreras
We prove that a generic lagrangian has finitely many minimizing measures for every cohomology class.
Hamiltonian Systems: Stability and Instability Theory
Patrick Bernard
This is a short survey on Nekhoroshev theory, KAM theory, and Arnold's diffusion.
Mould Calculus for Hamiltonian Vector Fields
Jacky Cresson, Guillaume Morin
We present the general framework of Écalle's moulds in the case of linearization of a formal vector field without and within resonances. We enlighten the power of moulds by their u…
Young measures, superposition and transport
Patrick Bernard
We discuss a space of Young measures in connection with some variational problems. We use it to present a proof of the Theorem of Tonelli on the existence of minimizing curves. We…