58 citations · 277 across the 12 of their papers we have counts for
12 papers
Shannon Entropy Applied to the Planar Restricted Three-Body Problem
C. Beaugé, P. M. Cincotta
We present a numerical study of the application of the Shannon entropy technique to the planar restricted three-body problem in the vicinity of first-order interior mean-motion res…
Phase correlations in chaotic dynamics A Shannon entropy measure
P. M. Cincotta, C. M. Giordano
In the present work we investigate phase correlations by recourse to the Shannon entropy. Using theoretical arguments we show that the entropy provides an accurate measure of phase…
On the relevance of chaos for halo stars in the solar neighbourhood II
Nicolas P. Maffione, Facundo A. Gómez, Pablo M. Cincotta +7
In a previous paper based on dark matter only simulations we show that, in the approximation of an analytic and static potential describing the strongly triaxial and cuspy shape of…
On the relevance of chaos for halo stars in the Solar Neighbourhood
Nicolás P. Maffione, Facundo A. Gómez, Pablo M. Cincotta +3
We show that diffusion due to chaotic mixing in the Neighbourhood of the Sun may not be as relevant as previously suggested in erasing phase space signatures of past Galactic accre…
Stochastic approach to diffusion inside the chaotic layer of a resonance
Martín F. Mestre, Armando Bazzani, Pablo M. Cincotta +1
We model chaotic diffusion, in a symplectic 4D map by using the result of a theorem that was developed for stochastically perturbed integrable Hamiltonian systems. We explicitly co…
Chirikov and Nekhoroshev diffusion estimates: bridging the two sides of the river
Pablo M. Cincotta, Christos Efthymiopoulos, Claudia M. Giordano +1
We present theoretical and numerical results pointing towards a strong connection between the estimates for the diffusion rate along simple resonances in multidimensional nonlinear…