| Full text | |
| Author(s): |
Palmero, Matheus S.
[1]
;
Livorati, Andre L. P.
[2, 1]
;
Caldas, Ibere L.
[3]
;
Leonel, Edson D.
[4, 1]
Total Authors: 4
|
| Affiliation: | [1] Univ Estadual Paulista, UNESP, Dept Fis, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England
[3] Univ Sao Paulo, Inst Fis, IFUSP, Rua Matao, Tr R 187, Cidade Univ, BR-05314970 Sao Paulo, Sp - Brazil
[4] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste - Italy
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 65, p. 248-259, DEC 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
The dynamics of an ensemble of non-interacting particles suffering elastic collisions inside a driven stadium-like billiard is investigated through a four-dimensional nonlinear mapping. The system presents a resonance velocity, which plays an important role on the ensemble separation according to the initial velocities. The idea is to use the Lyapunov exponents to study the ensemble separation. We compare two different methods: (i) Finite Time Lyapunov Exponents and (ii) Wolf Linearization Algorithm. Results from both methods show good agreement regarding the separation of ensembles. Our results give support for the fact that stickiness influences the dynamics providing a crucial effect in the ensemble separation of the velocities for the time-dependent stadium-like billiard. (c) 2018 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 17/14414-2 - Scaling investigation in dynamical systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/25316-3 - Investigation of transport and diffusion properties of particles using escape formalism for time-dependent systems |
| Grantee: | André Luís Prando Livorati |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/00556-6 - Studying the decay of energy in a time-dependent stadium bilhar: the conservative case |
| Grantee: | Matheus Palmero Silva |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| FAPESP's process: | 15/26699-6 - Investigation of anomalous transport and diffusion for time-dependent dynamical systems |
| Grantee: | André Luís Prando Livorati |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 11/19296-1 - Nonlinear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |