| Full text | |
| Author(s): |
da Costa, Diogo Ricardo
;
Fujita, Andre
;
Sales, Matheus Rolim
;
Szezech, Jose D., Jr.
;
Batista, Antonio Marcos
Total Authors: 5
|
| Document type: | Journal article |
| Source: | Brazilian Journal of Physics; v. 52, n. 3, p. 10-pg., 2022-06-01. |
| Abstract | |
In this paper, we introduce a billiard whose boundary varies from a circular to a polygonal billiard. To describe the billiard boundary, we use a parametric equation, which needs to be solved numerically. We provide a detailed explanation about how to obtain the radius of the billiard boundary R for each angular position theta, where we used a tangent method to speed up the numerical simulations. We consider another tangent method to find the billiard boundary's intercept and the particle's trajectory. Furthermore, we show some trajectories' examples and describe what happens with the phase space and Lyapunov exponents when changing the deformation. We present results for different values of the control parameter related to the number of edges of our polygon and the billiard with a triangular-like boundary. (AU) | |
| FAPESP's process: | 20/02415-7 - StatGraph 2.0 and Massive Open Online Course (MOOC) |
| Grantee: | Diogo Ricardo da Costa |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |