On the problem of stability for near to integrable Hamiltonian systems.
Giorgilli, Antonio (1998)
Documenta Mathematica
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Displaying similar documents to “Dynamical systems -- past and present.”
On the problem of stability for near to integrable Hamiltonian systems.
On the question of stability in a Hamiltonian system
A. D. Bruno (1989)
Banach Center Publications
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Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II.
Francois Lalonde, Dusa McDuff (1995)
Inventiones mathematicae
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Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II (Erratum).
D. McDuff, F. Lalonde (1996)
Inventiones mathematicae
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Hofer's L...-geometry: energy and stability of Hamiltonian flows, part I.
Francois Lalonde, Dusa McDuff (1995)
Inventiones mathematicae
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Nekhoroshev estimates for quasi-convex hamiltonian systems.
Jürgen Pöschel (1993)
Mathematische Zeitschrift
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Hamiltonian Dynamics on Pseudodifferential Symbols
Boris Khesin (1993)
Recherche Coopérative sur Programme n°25
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Aspects of Long-time Behaviour of Solutions of Non-linear Hamiltonian Evolution Equations.
J. Bourgain (1995)
Geometric and functional analysis
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Hamiltonian Systems Close to Integrable Systems
E. Zenhder (1975)
Publications mathématiques et informatique de Rennes
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On stability zones for discrete-time periodic linear Hamiltonian systems.
Răsvan, Vladimir (2006)
Advances in Difference Equations [electronic only]
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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.