info:eu-repo/semantics/article
Shannon entropy diffusion estimates: Sensitivity on the parameters of the method
Fecha
2021-02-17Registro en:
Cincotta, Pablo Miguel; Giordano, Claudia Marcela; Silva, Raphael Alves; Beauge, Cristian; Shannon entropy diffusion estimates: Sensitivity on the parameters of the method; Springer; Celestial Mechanics & Dynamical Astronomy; 133; 2; 17-2-2021; 1-20
0923-2958
1572-9478
CONICET Digital
CONICET
Autor
Cincotta, Pablo Miguel
Giordano, Claudia Marcela
Silva, Raphael Alves
Beauge, Cristian
Resumen
In the present effort, we revisit the Shannon entropy approach for the study of both the extent and the rate of diffusion in a given dynamical system. In particular, we provide a theoretical and numerical study of the dependence of the formulation on the parameters of the method. We succeed in deriving not only a diffusion coefficient, DS, but also an estimate of the macroscopical instability time for the system under study. Dealing with a toy model, namely a 4D symplectic application that represents the dynamics around a junction of resonances of different order, and an a particular case of the planar three-body problem, the HD20003 planetary system, we obtain numerical evidence that DS is a robust measure of the diffusion rate, no significant dependence on the free parameter of the entropy formulation (the size of the elements of the partition) being observed. Moreover, successful results concerning the estimation of macroscopical instability times obtained from DS are presented in both cases.