A Diophantine duality applied to the KAM and Nekhoroshev theorems

Abed Bounemoura, Stéphane Fischler

Type: Article

Publication Date: 2013-05-21

Citations: 16

DOI: https://doi.org/10.1007/s00209-013-1174-5

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Mathematische Zeitschrift - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
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+ PDF Chat	Normal forms, stability and splitting of invariant manifolds I. Gevrey Hamiltonians	2013	Abed Bounemoura
+ PDF Chat	Filling Times for Linear Flow on the Torus with Truncated Diophantine Conditions: A Brief Review and New Proof	2022	H. Scott Dumas Stéphane Fischler
+	Hamiltonian perturbation theory for ultra-differentiable functions	2021	Abed Bounemoura Jacques Féjoz
+ PDF Chat	Non-degenerate Liouville tori are KAM stable	2016	Abed Bounemoura
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Works Cited by This (26)

Action	Title	Year	Authors
+	Analytic linearization of circle diffeomorphisms	2004	Jean-Christophe Yoccoz
+	An Introduction to the Geometry of Numbers	1959	J. W. S. Cassels
+	Geometry of Numbers	1987	Peter M. Gruber
+	Canonical perturbation theory via simultaneous approximation	1992	Pierre Lochak
+	An Introduction to Diophantine Approximation.	1958	John C. Brixey J. W. S. Cassels
+ PDF Chat	Multidimensional Continued Fractions, Dynamical Renormalization and KAM Theory	2006	Kostya Khanin João Lopes Dias Jens Marklof
+	On Dynamical Systems with an Integral Invariant on a Torus	1991	Michiel Hazewinkel A. A. Kirillov Yu. I. Manin N. N. Moiseev S P Novikov M. C. Polyvanov Yu. A. Rozanov
+	On dynamical systems with an integral invariant on the torus	1984	Yu Shu-Xiang
+ PDF Chat	Inequalities for convex bodies and polar reciprocal lattices inR n	1995	Wojciech Banaszczyk
+	On Compound Convex Bodies (I)	1955	Kurt Mahler