On stability zones for discrete-time periodic linear Hamiltonian systems.
Răsvan, Vladimir (2006)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “Stability zones for discrete time Hamiltonian systems”
On stability zones for discrete-time periodic linear Hamiltonian systems.
Bi-Hamiltonian structure as a shadow of non-Noether symmetry.
Chavchanidze, G. (2003)
Georgian Mathematical Journal
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Hamiltonian stability and subanalytic geometry
Laurent Niederman (2006)
Annales de l’institut Fourier
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In the 70’s, Nekhorochev proved that for an analytic nearly integrable Hamiltonian system, the action variables of the unperturbed Hamiltonian remain nearly constant over an exponentially long time with respect to the size of the perturbation, provided that the unperturbed Hamiltonian satisfies some generic transversality condition known as
Lagrangian approach to dispersionless KdV hierarchy.
Choudhuri, Amitava, Talukdar, B., Das, U. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Generic Nekhoroshev theory without small divisors
Abed Bounemoura, Laurent Niederman (2012)
Annales de l’institut Fourier
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In this article, we present a new approach of Nekhoroshev’s theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of a method introduced by P. Lochak, it combines averaging along periodic orbits with simultaneous Diophantine approximation and uses geometric arguments designed by the second author to handle generic integrable Hamiltonians. This method allows to deal with generic non-analytic Hamiltonians and to obtain new...
By Magri's theorem, self-dual gravity is completely integrable.
Nutku, Yavuz (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Dynamical systems -- past and present.
Moser, Jürgen (1998)
Documenta Mathematica
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