Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics

In the present lectures we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in phase space of multidimensional conservative systems. We investigate and provide a measure of the extent of the domain over which diffusion may occur. All these issu...

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Autores principales: Cincotta, Pablo Miguel, Giordano, Claudia Marcela
Formato: Objeto de conferencia
Lenguaje:Inglés
Publicado: 2011
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/167642
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spelling I19-R120-10915-1676422024-07-01T20:02:45Z http://sedici.unlp.edu.ar/handle/10915/167642 Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics Cincotta, Pablo Miguel Giordano, Claudia Marcela 2011-07 2012 2024-07-01T16:41:39Z en Ciencias Astronómicas local and global chaotic diffusion phase space Hamiltonian systems In the present lectures we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in phase space of multidimensional conservative systems. We investigate and provide a measure of the extent of the domain over which diffusion may occur. All these issues are thoroughly discussed by dealing with a toy model such as the perturbed quartic oscillator as well as with a multidimensional conservative map that would be representative of the dynamics of a resonance interaction, which is an important mechanism in several astronomical systems, like the Solar System or galaxies. Most of the contents of the present lectures are based on previous works of the authors already published in several journals. Facultad de Ciencias Astronómicas y Geofísicas Instituto de Astrofísica de La Plata Objeto de conferencia Objeto de conferencia http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf 185-216
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Astronómicas
local and global chaotic diffusion
phase space
Hamiltonian systems
spellingShingle Ciencias Astronómicas
local and global chaotic diffusion
phase space
Hamiltonian systems
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
topic_facet Ciencias Astronómicas
local and global chaotic diffusion
phase space
Hamiltonian systems
description In the present lectures we provide results and discussions concerning the processes that lead to local and global chaotic diffusion in phase space of multidimensional conservative systems. We investigate and provide a measure of the extent of the domain over which diffusion may occur. All these issues are thoroughly discussed by dealing with a toy model such as the perturbed quartic oscillator as well as with a multidimensional conservative map that would be representative of the dynamics of a resonance interaction, which is an important mechanism in several astronomical systems, like the Solar System or galaxies. Most of the contents of the present lectures are based on previous works of the authors already published in several journals.
format Objeto de conferencia
Objeto de conferencia
author Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_facet Cincotta, Pablo Miguel
Giordano, Claudia Marcela
author_sort Cincotta, Pablo Miguel
title Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_short Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_full Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_fullStr Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_full_unstemmed Diffusion in multidimensional Hamiltonian Systems Application to Galactic Dynamics
title_sort diffusion in multidimensional hamiltonian systems application to galactic dynamics
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/167642
work_keys_str_mv AT cincottapablomiguel diffusioninmultidimensionalhamiltoniansystemsapplicationtogalacticdynamics
AT giordanoclaudiamarcela diffusioninmultidimensionalhamiltoniansystemsapplicationtogalacticdynamics
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