34 citations
- Centre National de la Recherche ScientifiqueFR11 papers
- Institut de Mathématiques de ToulouseFR10 papers
- Université Fédérale de Toulouse Midi-PyrénéesFR9 papers
- Université Toulouse III - Paul SabatierFR7 papers
- Institut National des Sciences Appliquées de ToulouseFR2 papers
- Laboratoire d'Analyse et d'Architecture des SystèmesFR2 papers
- University of WarsawPL2 papers
- Columbia UniversityUS1 paper
- Environmental and Occupational Health Sciences InstituteUS1 paper
- Institució Catalana de Recerca i Estudis AvançatsES1 paper
- Institut d'Électronique et des Technologies du numéRiqueFR1 paper
- Institut Municipal d'Assistència SanitàriaES1 paper
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math.DS2007
Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems
Nguyen Tien Zung
In this paper we show that, if an integrable Hamiltonian system admits a nondegenerate hyperbolic singularity then it will satisfy the Kolmogorov condegeneracy condition near that…
math.DS2004
The Brjuno function continuously estimates the size of quadratic Siegel disks
Xavier Buff, Arnaud Cheritat
If alpha is an irrational number, we define Yoccoz's Brjuno function Phi by Phi(alpha)=sum_{n geq 0} alpha_0*alpha_1*...*alpha_{n-1}*log(1/alpha_n), where alpha_0 is the fractional…