Publicação: Finding critical exponents for two-dimensional Hamiltonian maps
Carregando...
Data
2010-04-01
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Amer Physical Soc
Tipo
Artigo
Direito de acesso
Acesso aberto
Resumo
The transition from integrability to nonintegrability for a set of two-dimensional Hamiltonian mappings exhibiting mixed phase space is considered. The phase space of such mappings show a large chaotic sea surrounding Kolmogorov-Arnold-Moser islands and limited by a set of invariant tori. The description of the phase transition is made by the use of scaling functions for average quantities of the mapping averaged along the chaotic sea. The critical exponents are obtained via extensive numerical simulations. Given the mappings considered are parametrized by an exponent gamma in one of the dynamical variables, the critical exponents that characterize the scaling functions are obtained for many different values of gamma. Therefore classes of universality are defined.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Physical Review E. College Pk: Amer Physical Soc, v. 81, n. 4, p. 6, 2010.
