| Full text | |
| Author(s): |
Diaz, Gabriel, I
;
Palmero, Matheus S.
;
Caldas, Ibere Luiz
;
Leonel, Edson D.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 100, n. 4, p. 9-pg., 2019-10-07. |
| Abstract | |
In this work we investigate how the behavior of the Shannon entropy can be used to measure the diffusion exponent of a set of initial conditions in two systems: (i) standard map and (ii) the oval billiard. We are interested in the diffusion near the main island in the phase space, where stickiness is observed. We calculate the diffusion exponent for many values of the nonlinear parameter of the standard map where the size and shape of the main island change as the parameter varies. We show that the changes of behavior in the diffusion exponent are related with the changes in the area of the main island and show that when the area of the main island is abruptly reduced, due to the destruction of invariant tori and, consequently, creation of hyperbolic and elliptic fixed points, the diffusion exponent grows. (AU) | |
| FAPESP's process: | 17/14414-2 - Scaling investigation in dynamical systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/03000-5 - Chaotic transport in symplectic maps: Applications in plasma |
| Grantee: | Matheus Palmero Silva |
| Support Opportunities: | Scholarships in Brazil - Doctorate |