| Full text | |
| Author(s): |
da Costa, Diogo Ricardo
;
Hansen, Matheus
;
Silva, Mario Roberto
;
Leonel, Edson D.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS; v. 32, n. 04, p. 15-pg., 2022-03-30. |
| Abstract | |
In this paper, we consider the evolution of an ensemble of noninteracting classical particles confined in a closed region. Each one of these particles experiences several elastic collisions with a rigid-smooth oval-like boundary. As known in the literature, numerical simulations for this kind of system demand too much time, mostly because of the time spent in solving transcendental equations. To deal with that, we highlight an alternative approach to speed up the search of solutions for the transcendental equations via the tangent method, which has proved to be a faster way to solve this problem when compared with other methods, like the bisection one. The methods applied here are generic and can be used or adapted for other billiard boundaries. (AU) | |
| FAPESP's process: | 19/14038-6 - Investigation of dynamical properties in nonlinear systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| 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 |
| FAPESP's process: | 19/09150-1 - Effect of time delay and plasticity in neuronal synchronization |
| Grantee: | Matheus Hansen Francisco |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |