Results 11 to 20 of about 1,587 (68)
Generic Nekhoroshev theory without small divisors [PDF]
, 2009 In this article, we present a new approach of Nekhoroshev theory for a generic unperturbed Hamiltonian which completely avoids small divisors problems. The proof is an extension of a method introduced by P.
Bounemoura, Abed, Niederman, Laurent
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Whitney Smooth Families of Invariant Tori within the Reversible Context 2 of KAM Theory
, 2016 We prove a general theorem on the persistence of Whitney infinitely smooth families of invariant tori in the reversible context 2 of KAM theory. This context refers to the situation where dim Fix G < (codim T)/2 where Fix G is the fixed point manifold of
Sevryuk, Mikhail B.
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A Global Kam-Theorem: Monodromy in Near-Integrable Perturbations of Spherical Pendulum
Journal of Mathematical and Fundamental Sciences, 2019 The KAM Theory for the persistence of Lagrangean invariant tori in nearly integrable Hamiltonian systems is lobalized to bundles of invariant tori. This leads to globally well-defined conjugations between near-integrable systems and their integrable ...
Henk W. Broer
doaj
Contributions of plasma physics to chaos and nonlinear dynamics
, 2016 This topical review focusses on the contributions of plasma physics to chaos and nonlinear dynamics bringing new methods which are or can be used in other scientific domains.
Escande, Dominique
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Symmetry and resonance in periodic FPU chains [PDF]
, 2000 The symmetry and resonance properties of the Fermi Pasta Ulam chain with periodic boundary conditions are exploited to construct a near-identity transformation bringing this Hamiltonian system into a particularly simple form.
Rink, Bob
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, 2013 The aim of this paper is to extend the results of Giorgilli and Zehnder for aperiodic time dependent systems to a case of general nearly-integrable convex analytic Hamiltonians.
A Bounemoura +21 more
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General KAM theorems and their applications to invariant tori with prescribed frequencies
, 2015 In this paper we develop some new KAM-technique to prove two general KAM theorems for nearly integrable hamiltonian systems without assuming any non-degeneracy condition. Many of KAM-type results (including the classical KAM theorem) are special cases of
Lu, Xuezhu, Xu, Junxiang
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Recurrence of fidelity in near integrable systems
, 2003 Within the framework of simple perturbation theory, recurrence time of quantum fidelity is related to the period of the classical motion. This indicates the possibility of recurrence in near integrable systems.
A. Lakshminarayan +15 more
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, 2014 The instanton-noninstanton (I-NI) transition in the tunneling process, which has been numerically observed in classically nonintegrable quantum maps, can be described by a perturbation theory based on an integrable Hamiltonian renormalized so as to ...
Hanada, Yasutaka +3 more
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Negligibility of small divisor effects in the normal form theory for nearly-integrable Hamiltonians with decaying non-autonomous perturbations [PDF]
, 2015 The paper deals with the problem of the existence of a normal form for a nearly-integrable real-analytic Hamiltonian with aperiodically time-dependent perturbation decaying (slowly) in time.
Fortunati, Alessandro, Wiggins, Stephen
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