Otro
Finding critical exponents for two-dimensional Hamiltonian maps
Registro en:
Physical Review E. College Pk: Amer Physical Soc, v. 81, n. 4, p. 6, 2010.
1539-3755
10.1103/PhysRevE.81.046212
WOS:000277265900036
WOS000277265900036.pdf
Autor
de Oliveira, Juliano A.
Bizao, R. A.
Leonel, Edson Denis
Resumen
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. Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)