Otro
THE EFFECT of WEAK DISSIPATION IN TWO-DIMENSIONAL MAPPING
Registro en:
International Journal of Bifurcation and Chaos. Singapore: World Scientific Publ Co Pte Ltd, v. 22, n. 10, p. 8, 2012.
0218-1274
10.1142/S0218127412502483
WOS:000310881300020
Autor
De Oliveira, Juliano A.
Leonel, Edson Denis
Resumen
The influence of weak dissipation and its consequences in a two-dimensional mapping are studied. The mapping is parametrized by an exponent gamma in one of the dynamical variables and by a parameter delta which denotes the amount of the dissipation. It is shown that for different values of gamma the structure of the phase space of the nondissipative model is replaced by a large number of attractors. The approach to the attracting fixed point is characterized both analytically and numerically. The attracting fixed point exhibits a very complicated basin of attraction. Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)