| Full text | |
| Author(s): |
da Costa, Diogo Ricardo
;
Palmero, Matheus S.
;
Mendez-Bermudez, J. A.
;
Iarosz, Kelly C.
;
Szezech Jr, Jose D.
;
Batista, Antonio M.
Total Authors: 6
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 91, p. 9-pg., 2020-12-01. |
| Abstract | |
Mushroom billiards are formed, generically, by a semicircular hat attached to a rectangular stem. The dynamics of mushroom billiards shows a continuous transition from integrability to chaos. However, between those limits the phase space is sharply divided in two components corresponding to regular and chaotic orbits, in contrast to most mixed phase space billiards. In this paper we show that tilting the hat of a mushroom billiard produces a highly non-trivial (i.e. non-KAM) mixed phase space. Moreover, for small tilting, this phase space shows a web-like hierarchical structure. (C) 2020 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 19/06931-2 - Random matrix theory approach to complex networks |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 18/03000-5 - Chaotic transport in symplectic maps: Applications in plasma |
| Grantee: | Matheus Palmero Silva |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| 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: | 15/07311-7 - Dynamic behaviour of neural networks |
| Grantee: | Kelly Cristiane Iarosz |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 18/03211-6 - Non linear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |