Complex statistics in Hamiltonian barred galaxy models

Details Complex statistics in Hamiltonian barred galaxy models Complex statistics in Hamiltonian barred galaxy models

2011-08-25

arxiv.org/abs/1108.5059v2

Nonlinear Sciences

Chaotic Dynamics

14 pages, 9 figures, submitted for publication

Scientific paper

We use probability density functions (pdfs) of sums of orbit coordinates, over time intervals of the order of one Hubble time, to distinguish weakly from strongly chaotic orbits in a barred galaxy model. We find that, in the weakly chaotic case, quasi-stationary states arise, whose pdfs are well approximated by $q$-Gaussian functions (with $1

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