Chaotic orbits obeying one isolating integral in a four-dimensional map

We have recently presented strong evidence that chaotic orbits that obey one isolating integral besides energy exist in a toy Hamiltonian model with three degrees of freedom and are bounded by regular orbits that isolate them from the Arnold web. The interval covered by those numerical experiments w...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Muzzio, Juan Carlos
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Astronomía
chaos
methods: numerical
celestial mechanics
galaxies: kinematics and dynamics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/93576
http://academic.oup.com/mnras/article/473/4/4636/4443213
https://ri.conicet.gov.ar/handle/11336/82794
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-93576
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Astronomía
chaos
methods: numerical
celestial mechanics
galaxies: kinematics and dynamics
spellingShingle Astronomía
chaos
methods: numerical
celestial mechanics
galaxies: kinematics and dynamics
Muzzio, Juan Carlos
Chaotic orbits obeying one isolating integral in a four-dimensional map
topic_facet Astronomía
chaos
methods: numerical
celestial mechanics
galaxies: kinematics and dynamics
description We have recently presented strong evidence that chaotic orbits that obey one isolating integral besides energy exist in a toy Hamiltonian model with three degrees of freedom and are bounded by regular orbits that isolate them from the Arnold web. The interval covered by those numerical experiments was equivalent to about one million Hubble times in a galactic context. Here, we use a four-dimensional map to confirm our previous results and to extend that interval 50 times. We show that, at least within that interval, features found in lower dimension Hamiltonian systems and maps are also present in our study, e.g. within the phase space occupied by a chaotic orbit that obeys one integral there are subspaces where that orbit does not enter and are, instead, occupied by regular orbits that, if tori, bound other chaotic orbits obeying one integral and, if cantori, produce stickiness. We argue that the validity of our results might exceed the time intervals covered by the numerical experiments.
format Articulo
Articulo
author Muzzio, Juan Carlos
author_facet Muzzio, Juan Carlos
author_sort Muzzio, Juan Carlos
title Chaotic orbits obeying one isolating integral in a four-dimensional map
title_short Chaotic orbits obeying one isolating integral in a four-dimensional map
title_full Chaotic orbits obeying one isolating integral in a four-dimensional map
title_fullStr Chaotic orbits obeying one isolating integral in a four-dimensional map
title_full_unstemmed Chaotic orbits obeying one isolating integral in a four-dimensional map
title_sort chaotic orbits obeying one isolating integral in a four-dimensional map
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/93576
http://academic.oup.com/mnras/article/473/4/4636/4443213
https://ri.conicet.gov.ar/handle/11336/82794
work_keys_str_mv AT muzziojuancarlos chaoticorbitsobeyingoneisolatingintegralinafourdimensionalmap
bdutipo_str Repositorios
_version_ 1764820491383603202

Ejemplares similares