IALP 13078
INSTITUTO DE ASTROFISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Theoryand applications of the Shannon entropy approach to measure chaoticdiffusion
Autor/es:
ALVES SILVA, R.; CINCOTTA , P. M.; BEAUGÉ, C.; GIORDANO, C. M.
Revista:
PHYSICA D - NONLINEAR PHENOMENA
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2020 vol. 417
ISSN:
0167-2789
Resumen:
In this work it is shown that the Shannon entropy is an efficient dynamical indicator that provides adirect measure of the diffusion rate and thus a time-scale for the instabilities arising when dealing withchaos. Its computation just involves the solution of the Hamiltonian flow, the variational equationsare not required. After a review of the theory behind this approach, two particular applications arepresented; a 4D symplectic map and the exoplanetary system HD 181433, approximated by the PlanarThree Body Problem. Successful results are obtained for instability time-scales when compared withdirect long range integrations (N-body or just iterations). Comparative dynamical maps reveal that thisnovel technique provides much more dynamical information than a classical chaos indicator.
