Memorias de investigación
Artículos en revistas:
Time-evolving statistics of chaotic orbits of conservative maps in the context of the Central Limit Theorem
Año:2012

Áreas de investigación
  • Fisica cs -- sistemas complejos

Datos
Descripción
We study chaotic orbits of conservative low-dimensional maps and present numerical results showing that the probability density functions (pdfs) of the sum of N iterates in the large N limit exhibit very interesting time-evolving statistics. In some cases where the chaotic layers are thin and the (positive) maximal Lyapunov exponent is small, long-lasting quasi-stationary states (QSS) are found, whose pdfs appear to converge to q-Gaussians associated with nonextensive statistical mechanics. More generally, however, as N increases, the pdfs describe a sequence of QSS that pass from a q-Gaussian to an exponential shape and ultimately tend to a true Gaussian, as orbits diffuse to larger chaotic domains and the phase space dynamics becomes more uniformly ergodic .
Internacional
Si
JCR del ISI
Si
Título de la revista
International Journal of Bifurcation and Chaos
ISSN
0218-1274
Factor de impacto JCR
1,144
Información de impacto
Volumen
22
DOI
DOI: 10.1142/S0218127412502082
Número de revista
9
Desde la página
1250208-1
Hasta la página
1250208-22
Mes
SIN MES
Ranking

Esta actividad pertenece a memorias de investigación

Participantes
  • Autor: Guiomar Ruiz Lopez UPM
  • Autor: Tassos BOUNTIS CRANS (Greece)
  • Autor: Constantino Tsallis CBPF (Brasil)

Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Sistemas dinámicos
  • Departamento: Matemática Aplicada y Estadística