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ISBN: 2100064045 9782100064045 Year: 2002 Publisher: Paris: Dunod,
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ISBN: 9781470434922 147043492X Year: 2019 Publisher: Providence, RI : American Mathematical Society,
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Symplectic geometry. --- Symplectic groups. --- Domains of holomorphy. --- Géométrie symplectique. --- Groupes symplectiques. --- Domaines d'holomorphie. --- Géométrie symplectique --- Groupes symplectiques --- Domaines d'holomorphie --- Symplectic geometry --- Symplectic groups --- Domains of holomorphy --- Holomorphy domains --- Analytic continuation --- Functions of several complex variables --- Groups, Symplectic --- Linear algebraic groups --- Geometry, Differential
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ISBN: 1470449536 Year: 2019 Publisher: Providence, Rhode Island : American Mathematical Society,
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A wandering domain for a diffeomorphism Psi of mathbb A^n=T^*mathbb T^n is an open connected set W such that Psi ^k(W)cap W=emptyset for all kin mathbb Z^*. The authors endow mathbb A^n with its usual exact symplectic structure. An integrable diffeomorphism, i.e., the time-one map Phi ^h of a Hamiltonian h: mathbb A^no mathbb R which depends only on the action variables, has no nonempty wandering domains. The aim of this paper is to estimate the size (measure and Gromov capacity) of wandering domains in the case of an exact symplectic perturbation of Phi ^h, in the analytic or Gevrey category. Upper estimates are related to Nekhoroshev theory; lower estimates are related to examples of Arnold diffusion. This is a contribution to the "quantitative Hamiltonian perturbation theory" initiated in previous works on the optimality of long term stability estimates and diffusion times; the emphasis here is on discrete systems because this is the natural setting to study wandering domains.
Symplectic geometry. --- Symplectic groups. --- Domains of holomorphy.
Book
ISBN: 9782744073502 2744073504 Year: 2009 Publisher: Paris: Pearson,
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Mathematical analysis --- Analyse mathématique --- Problems, exercises, etc. --- Problèmes et exercices --- Problèmes et exercices. --- Problèmes et exercices. --- Analyse mathématique
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ISBN: 9782744076541 2744076546 Year: 2013 Publisher: Montreuil-sous-Bois: Pearson,
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ISBN: 9782744076077 2744076074 Year: 2012 Publisher: Paris: Pearson,
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Mathematics --- Mathématiques --- Textbooks --- Problems, exercises, etc. --- Manuels --- Problèmes et exercices --- Mathématiques --- Problèmes et exercices
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ISBN: 9782744075599 9782744072581 2744072583 Year: 2007 Publisher: Paris : Pearson Education France,
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Mathematics --- Mathématiques --- Textbooks --- Problems, exercises, etc. --- Manuels --- Problèmes et exercices --- Mathématiques --- Problèmes et exercices --- Problèmes et exercices. --- Problèmes et exercices.
Book
ISBN: 9782744072253 2744072257 Year: 2007 Publisher: Paris : Pearson Education France,
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Mathematics --- Mathématiques --- Textbooks --- Manuels --- Mathématiques --- Problems, exercises, etc. --- Problèmes et exercices --- Problèmes et exercices. --- Problèmes et exercices.
Digital
ISBN: 9783110430394 9783110430493 9783110439236 Year: 2017 Publisher: Berlin ;; Boston De Gruyter
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