95 citations
- Université de Pau et des Pays de l'AdourFR12 papers
- Laboratoire de Mathématiques et ApplicationsFR7 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- Institut de Mécanique Céleste et de Calcul des ÉphéméridesFR3 papers
- Laboratoire de Mathématiques Blaise PascalFR3 papers
- Latvian Maritime AcademyLV3 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
- Accademia di Belle Arti di NapoliIT1 paper
- Adam Mickiewicz University in PoznańPL1 paper
- Bucharest University of Economic StudiesRO1 paper
- Center for Human GeneticsUS1 paper
- Centre de Recherche en Mathématiques de la DécisionFR1 paper
4 papers · 1 filter
Fractional embeddings and stochastic time
Jacky Cresson, Pierre Inizan
As a model problem for the study of chaotic Hamiltonian systems, we look for the effects of a long-tail distribution of recurrence times on a fixed Hamiltonian dynamics. We follow…
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…
On the first integral conjecture of Rene Thom
Jacky Cresson, Aris Daniilidis, Masahiro Shiota
More that half a century ago R. Thom asserted in an unpublished manuscript that, generically, vector fields on compact connected smooth manifolds without boundary can admit only tr…
About the Trimmed and the Poincare-Dulac normal form of diffeomorphisms
Jacky Cresson, Jasmin Raissy
We study two particular continuous prenormal forms as defined by Jean Ecalle and Bruno Vallet for local analytic diffeomorphism: the Trimmed form and the Poincare-Dulac normal form…