Locating invariant tori for a family of two-dimensional Hamiltonian mappings


Autoria(s): De Oliveira, Juliano A.; Leonel, Edson D.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

27/05/2014

27/05/2014

15/10/2011

Resumo

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.

Formato

3727-3731

Identificador

http://dx.doi.org/10.1016/j.physa.2011.06.040

Physica A: Statistical Mechanics and its Applications, v. 390, n. 21-22, p. 3727-3731, 2011.

0378-4371

http://hdl.handle.net/11449/72746

10.1016/j.physa.2011.06.040

2-s2.0-80054916182

2-s2.0-80054916182.pdf

Idioma(s)

eng

Relação

Physica A: Statistical Mechanics and Its Applications

Direitos

openAccess

Palavras-Chave #Chaos #Critical exponents #Scaling laws #Chaotic sea #Critical exponent #Dynamical variables #Invariant tori #Mixed phase #Phase spaces #Hamiltonians #Phase space methods #Two dimensional #Mapping
Tipo

info:eu-repo/semantics/article