Whiskered and low dimensional tori in nearly integrable Hamiltonian systems.
de la Llave, R., Wayne, C.E. (2004)
Mathematical Physics Electronic Journal [electronic only]
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Displaying similar documents to “Diffusion times and stability exponents for nearly integrable analytic systems”
Whiskered and low dimensional tori in nearly integrable Hamiltonian systems.
Stability and instability for Gevrey quasi-convex near-integrable hamiltonian systems
Jean-Pierre Marco, David Sauzin (2003)
Publications Mathématiques de l'IHÉS
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Perturbations of stable invariant tori for hamiltonian systems
L. H. Eliasson (1988)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A Vey theorem for nonlinear PDE
Sergei Kuksin, Galina Perelman (2009-2010)
Séminaire Équations aux dérivées partielles
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On invariant tori of nearly integrable Hamiltonian systems with quasiperiodic perturbation.
Zhang, Dongfeng, Cheng, Rong (2010)
Fixed Point Theory and Applications [electronic only]
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Conjugation to a shift and the splitting of invariant manifolds
Vassiliĭ Gelfreich (1997)
Applicationes Mathematicae
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We give sufficient conditions for a diffeomorphism in the plane to be analytically conjugate to a shift in a complex neighborhood of a segment of an invariant curve. For a family of functions close to the identity uniform estimates are established. As a consequence an exponential upper estimate for splitting of separatrices is established for diffeomorphisms of the plane close to the identity. The constant in the exponent is related to the width of the analyticity domain of the limit...
Nekhoroshev stability for the D’Alembert problem of Celestial Mechanics
Luca Biasco, Luigi Chierchia (2002)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The classical D’Alembert Hamiltonian model for a rotational oblate planet revolving near a «day-year» resonance around a fixed star on a Keplerian ellipse is considered. Notwithstanding the strong degeneracies of the model, stability results a là Nekhoroshev (i.e. for times which are exponentially long in the perturbative parameters) for the angular momentum of the planet hold.
Birth of an elliptic island in a chaotic sea.
Liverani, C. (2004)
Mathematical Physics Electronic Journal [electronic only]
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