58 citations · 277 across the 12 of their papers we have counts for
9 papers · 1 filter
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…
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…
Chaos detection tools: application to a self-consistent triaxial model
Nicolás Maffione, Luciano Darriba, Pablo Cincotta +1
Together with the variational indicators of chaos, the spectral analysis methods have also achieved great popularity in the field of chaos detection. The former are based on the co…
Comparative study of variational chaos indicators and ODEs' numerical integrators
Luciano A. Darriba, Nicolás P. Maffione, Pablo M. Cincotta +1
The reader can find in the literature a lot of different techniques to study the dynamics of a given system and also, many suitable numerical integrators to compute them. Notwithst…