5 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More that half a century ago R. Thom asserted in an unpublished manuscript that, generically, vector fields on compact connected smooth manifolds without boundary can admit only tr…
Calcul Moulien
Jacky Cresson
This paper is an introduction to mould calculus as introduced by Jean Ecalle. We give a precise definition of moulds and describe there main properties. We translate mould symmetri…
About analytic non integrability
Jacky Cresson
We prove several general results on non existence of analytic first integrals for analytic diffeomorphisms possessing a hyperbolic fixed point.