506 citations
- Centre National de la Recherche ScientifiqueFR53 papers
- Institut de Mathématiques de BourgogneFR23 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR17 papers
- Université Libre de BruxellesBE11 papers
- Lyon 1 UniversitéFR6 papers
- Université Paris-SudFR6 papers
- University of GenevaCH6 papers
- Okanagan University CollegeCA5 papers
- Laboratoire de Réactivité et Chimie des SolidesFR4 papers
- University of British ColumbiaCA4 papers
- University of British Columbia, Okanagan CampusCA4 papers
- Gunadarma UniversityID3 papers
5 papers · 1 filter
On the existence of attractors
Christian Bonatti, Ming Li, Dawei Yang
On every compact 3-manifold, we build a non-empty open set $\cU$ of $\Diff^1(M)$ such that, for every , every -generic diffeomorphism $f\in\cU\cap \Diff^r(M)$ has no…
Pseudo-Abelian integrals: unfolding generic exponential case
Marcin Bobienski, Pavao Mardesic, Dmitry Novikov
We consider an integrable polynomial system with generalized Darboux first integral H_0. We assume that it defines a family of real cycles in a region bounded by a polycycle. To an…
Monodromy and Tangential Center Problems
Colin Christopher, Pavao Mardešić
We consider families of Abelian integrals arising from perturbations of planar Hamiltonian systems. The tangential center focus problem asks for the conditions under which these in…
Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan
Christian Bonatti, Boris Kolev
Let f be an orientation-preserving homeomorphism of the plane such that f-Id is contracting. Under these hypotheses, we establish the existence, for every periodic orbit, of a fixe…
Decay of correlations on towers with non-Holder continuous Jacobian and non-exponential return time
Jerome Buzzi, Veronique Maume-Deschamps
We establish upper bounds on the rate of decay of correlations of tower systems with summable variation of the Jacobian and integrable return time. That is, we consider situations…