1.6k citations
- Centre National de la Recherche ScientifiqueFR542 papers
- Aix-Marseille UniversitéFR531 papers
- Institut Polytechnique de BordeauxFR309 papers
- Centrale MéditerranéeFR279 papers
- Château GombertFR213 papers
- Institut de Mécanique et d'Ingénierie de BordeauxFR110 papers
- Université de Provence Aix-Marseille IFR33 papers
- Centre de Physique ThéoriqueFR32 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR26 papers
- Institut de Mathématiques de ToulouseFR25 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR25 papers
- École Normale Supérieure - PSLFR19 papers
8 papers · 2 filters
Numerical computation of critical surfaces for the breakup of invariant tori in Hamiltonian systems
Adrian P. Bustamante, Cristel Chandre
We compute the critical surface for the existence of invariant tori of a family of Hamiltonian systems with two and three degrees of freedom. We use and compare two methods to comp…
The dynamics of complex box mappings
Trevor Clark, Kostiantyn Drach, Oleg Kozlovski +1
In holomorphic dynamics, complex box mappings arise as first return maps to well-chosen domains. They are a generalization of polynomial-like mapping, where the domain of the retur…
Periodic points and shadowing property for generic Lebesgue measure preserving interval maps
Jernej Činč, Jozef Bobok, Piotr Oprocha +1
We show that for the generic continuous maps of the interval and circle which preserve the Lebesgue measure it holds for each k 1 that the set of periodic points of period k…
Minimality and unique ergodicity of Veech 1969 type interval exchange transformations
Sébastien Ferenczi, Pascal Hubert
We give conditions for minimality of extensions of a rotation of angle with one marked point, solving the problem for any prime : for , these cor…
Infinite-dimensional Thurston theory and transcendental dynamics II: classification of entire functions with escaping singular orbits
Konstantin Bogdanov
We classify transcendental entire functions that are compositions of a polynomial and the exponential for which all singular values escape on disjoint rays. The construction involv…
Almost everywhere balanced sequences of complexity
Julien Cassaigne, Sébastien Labbé, Julien Leroy
We study ternary sequences associated with a multidimensional continued fraction algorithm introduced by the first author. The algorithm is defined by two matrices and we show that…