Results 21 to 30 of about 1,587 (68)

Explicit estimates on the measure of primary KAM tori

, 2016
From KAM Theory it follows that the measure of phase points which do not lie on Diophantine, Lagrangian, "primary" tori in a nearly--integrable, real--analytic Hamiltonian system is $O(\sqrt{\varepsilon})$, if $\varepsilon$ is the size of the ...
Biasco, Luca, Chierchia, Luigi
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Relevance of the resonance junctions on the Arnold web to dynamical tunneling and eigenstate delocalization

, 2018
In this work we study the competition and correspondence between the classical and quantum routes to intramolecular vibrational energy redistribution (IVR) in a three degrees of freedom model effective Hamiltonian. Specifically, we focus on the classical
Karmakar, Sourav, Keshavamurthy, Srihari
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Nekhoroshev's estimates for quasi-periodic time-dependent perturbations

, 2015
In this paper, we consider a Diophantine quasi-periodic time-dependent analytic perturbation of a convex integrable Hamiltonian system, and we prove a result of stability of the action variables for an exponentially long interval of time.
Bounemoura, Abed
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First numerical evidence of global Arnold diffusion in quasi--integrable systems

, 2004
We provide numerical evidence of global diffusion occurring in slightly perturbed integrable Hamiltonian systems and symplectic maps. We show that even if a system is sufficiently close to be integrable, global diffusion occurs on a set with peculiar ...
Froeschle', Claude, Guzzo, Massimiliano, Lega, Elena   +2 more
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Improved exponential stability for near-integrable quasi-convex Hamiltonians [PDF]

, 2010
In this article, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems.
Bounemoura, Abed, Marco, Jean-Pierre
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Persistence of Diophantine flows for quadratic nearly-integrable Hamiltonians under slowly decaying aperiodic time dependence

, 2014
The aim of this paper is to prove a Kolmogorov-type result for a nearly-integrable Hamiltonian, quadratic in the actions, with an aperiodic time dependence.
A Celletti, A Celletti, A Fortunati, A Giorgilli, A Giorgilli, A Giorgilli, A Giorgilli, Alessandro Fortunati, AN Kolmogorov, E Zehnder, G Benettin, G Gallavotti, G Gallavotti, G Gentile, J Moser, J Moser, J Moser, JW Dettman, L Chierchia, L Chierchia, L Chierchia, LH Eliasson, M Berti, Stephen Wiggins, V I Arnol’d   +24 more
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About the role of chaos and coarse graining in Statistical Mechanics

, 2014
We discuss the role of ergodicity and chaos for the validity of statistical laws. In particular we explore the basic aspects of chaotic systems (with emphasis on the finite-resolution) on systems composed of a huge number of particles.Comment: Summer ...
Falasco, Gianmaria, Saggiorato, Guglielmo, Vulpiani, Angelo   +2 more
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Perturbed Three Vortex Dynamics

, 2006
It is well known that the dynamics of three point vortices moving in an ideal fluid in the plane can be expressed in Hamiltonian form, where the resulting equations of motion are completely integrable in the sense of Liouville and Arnold.
Birkhoff G., Blackmore D., Blackmore D., Bogomolov V., Borisov A., Denis Blackmore, Ding W. Y., Golé C., Goryachev D., Gröbli W., Kirchhoff G., Lamb H., Lin C. C., Lu Ting, Moser J., Moser J., Novikov E., Omar Knio, Poincaré H., Spanier E., Ting L., Ting L., Ziglin S.   +22 more
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Non-integrability of the Armbruster-Guckenheimer-Kim quartic Hamiltonian through Morales-Ramis theory [PDF]

, 2017
We show the non-integrability of the three-parameter Armburster-Guckenheimer-Kim quartic Hamiltonian using Morales-Ramis theory, with the exception of the three already known integrable cases.
Acosta-Humánez, P., Alvarez-Ramírez, M., Stuchi, T.   +2 more
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KdV equation under periodic boundary conditions and its perturbations

, 2013
In this paper we discuss properties of the KdV equation under periodic boundary conditions, especially those which are important to study perturbations of the equation. Next we review what is known now about long-time behaviour of solutions for perturbed
Huang, Guan, Kuksin, Sergei
core   +4 more sources