| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Paulista UNESP, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Sao Paulo, Sao Paulo, SP - Brazil
[3] UFG, Catalao, Go - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 440, p. 42-48, DEC 15 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
We present a new kind of one-dimensional attractor, which has not yet been predicted in the non-linear dynamics theory. We consider a non-linear map, which presents typical non-twist manifestations, as isochronous resonances and shearless torus. It is known that this torus corresponds to a very sturdy barrier in the phase space of some area-preserving systems. We show that when dissipation is present in the system, the shearless curve carries its robustness to the dissipative scenario. It becomes a powerful attractor, which we call shearless attractor, which is persistent under the variation of the parameters and it exchanges its stability from chaotic to quasi-periodic, or vice-versa, depending on the set of parameters. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 10/20276-2 - Interference of robust tori in the dynamics of non-linear systems |
| Grantee: | Ricardo Egydio de Carvalho |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/17989-5 - Nontwist phenomena in multi-dimensional Hamiltonian systems |
| Grantee: | Celso Vieira Abud |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 14/00334-9 - The 7th Chaotic Modeling & Simulation International Conference - CHAOS-2014 |
| Grantee: | Ricardo Egydio de Carvalho |
| Support Opportunities: | Research Grants - Meeting - Abroad |