832 citations · 2.1k across the 51 of their papers we have counts for
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Complex statistics in Hamiltonian barred galaxy models
Tassos Bountis, Thanos Manos, Chris Antonopoulos
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…
Weak chaos detection in the Fermi-Pasta-Ulam- system using -Gaussian statistics
Chris G. Antonopoulos, Helen Christodoulidi
We study numerically statistical distributions of sums of orbit coordinates, viewed as independent random variables in the spirit of the Central Limit Theorem, in weakly chaotic re…
Probing the local dynamics of periodic orbits by the generalized alignment index (GALI) method
T. Manos, Ch. Skokos, Ch. Antonopoulos
As originally formulated, the Generalized Alignment Index (GALI) method of chaos detection has so far been applied to distinguish quasiperiodic from chaotic motion in conservative…