Dynamical Systems

Albert Fathi, J.-C. Yoccoz

424 pages, parution le 23/03/2006

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Résumé

Michael Robert Herman had a profound impact on the theory of dynamical systems over the last 30 years. His seminar at the École Polytechnique had major worldwide influence and was the main vector in the development of the theory of dynamical systems in France. His interests covered most aspects of the subject though closest to his heart were the so-called small divisors problems, in particular those related to the stability of quasiperiodic motions. This volume aims to reflect the depth and variety of these interests and the frontier of present research; a frontier shaped decisively by Michael Herman's contributions.

Review of the important work of Michael Robert Herman
Up-to date and classic papers presented in context
Covers a broad range of topics

L'auteur - Albert Fathi

Albert Fathi Ecole Normale Supérieure, Lyon

L'auteur - J.-C. Yoccoz

J.-C. Yoccoz Collège de France, Paris

Sommaire

Michael Robert Herman, 1942-2000 A. Fathi and J. C. Yoccoz
L2 regularity of measurable solutions of a finite-difference equation of the circle Michael Robert Herman
On Herman's theorem for ergodic, amenable group extensions of endomorphisms Jon Aaronson and Benjamin Weiss
Lyapunov exponents with multiplicity 1 for deterministic products of matrices C. Bonnati and M. Viana
Remarks on stability and diffusion in high-dimensional Hamiltonian systems and partial differential equations Jean Bourgain
Stable manifolds and the Perron-Irwin method Marc Chaperon
C2 densely the 2-sphere has an elliptic closed geodesic Gonzalo Contreras and Fernando Oliveira
Further rigidity properties of conformal Anosov systems R. De La Lave
On some approximation of the 3D Euler system E. I. Dinaburg and Ya G. Sinai
Lyapunov 1-forms for flows M. Farber, T. Kappeler, J. Latschev and E. Zehnder
Constructions in elliptic dynamics Bassam Fayad and Anatole Katok
Démonstration du 'théorème d'Arnold' sur la stabilité du système planétaire (d'après Herman) Jacques Féjoz
Sur le théorème de Bertrand (d'après Michael Herman) Jacques Féjoz and Laurent Kaczmarek
Commutators and diffeomorphisms of surfaces Jean-Marc Gambaudo and Étienne Ghys
Wandering domains and random walks in Gevrey near-integrable systems Jean-Pierre Marco and David Sauzin
Examples of Aubry sets John N. Mather
New phenomena associated with homoclinic tangencies Sheldon E. Newhouse
On holomorphic critical quasi-circle maps Carsten Lunde Petersen
KAM theorem for Gevrey Hamiltonians G. Popov
Convergent transformations into a normal form in analytic Hamiltonian systems with two degrees of freedom on the zero energy surface near degenerate elliptic singularities Helmut Rüssmann
Sur les structures de Poisson singulières Laurent Stolovitch.

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Albert Fathi, J.-C. Yoccoz
Parution	23/03/2006
Nb. de pages	424
Format	17,5 x 25,5
Couverture	Relié
Poids	1170g
Intérieur	Noir et Blanc
EAN13	9780521860680
ISBN13	978-0-521-86068-0