| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | PHYSICA D-NONLINEAR PHENOMENA; v. 308, p. 34-39, JUL 15 2015. |
| Web of Science Citations: | 1 |
| Abstract | |
We numerically explore Slater's theorem in the context of dynamical systems to study the breakup of invariant curves. Slater's theorem states that an irrational translation over a circle returns to an arbitrary interval in at most three different recurrence times expressible by the continued fraction expansion of the related irrational number. The hypothesis considered in this paper is that Slater's theorem can be also verified in the dynamics of invariant curves. Hence, we use Slater's theorem to develop a qualitative and quantitative numerical approach to determine the breakup of invariant curves in the phase space of area-preserving maps. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| 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: | 11/19296-1 - Nonlinear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |