506 citations
- Centre National de la Recherche ScientifiqueFR57 papers
- Institut de Mathématiques de BourgogneFR28 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR19 papers
- Université Libre de BruxellesBE11 papers
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- Laboratoire de Mathématiques Blaise PascalFR5 papers
- Okanagan University CollegeCA5 papers
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Showing 2009 · math.DSShow all
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math.DS2009★ 6 cited
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…
math.DS2009★ 1 cited
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…