Locating invariant tori for a family of two-dimensional Hamiltonian mappings
The location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase space is discussed. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set of invariant tori. Given the mapping considered is parameterised by an expone...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2011 |
| Country: | Brasil |
| Institution: | Universidade Estadual Paulista (UNESP) |
| Repository: | Repositório Institucional da UNESP |
| Language: | English |
| OAI Identifier: | oai:repositorio.unesp.br:11449/72746 |
| Online Access: | http://dx.doi.org/10.1016/j.physa.2011.06.040 http://hdl.handle.net/11449/72746 |
| Access Level: | Open access |
| Keyword: | Chaos Critical exponents Scaling laws Chaotic sea Critical exponent Dynamical variables Invariant tori Mixed phase Phase spaces Hamiltonians Phase space methods Two dimensional Mapping |
| Summary: | The location of invariant tori for a two-dimensional Hamiltonian mapping exhibiting mixed phase space is discussed. The phase space of the mapping shows a large chaotic sea surrounding periodic islands and limited by a set of invariant tori. Given the mapping considered is parameterised by an exponent γ in one of the dynamical variables, a connection with the standard mapping near a transition from local to global chaos is used to estimate the position of the invariant tori limiting the size of the chaotic sea for different values of the parameter γ. © 2011 Elsevier B.V. All rights reserved. |
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