Analytical description of critical dynamics for two-dimensional dissipative nonlinear maps

Carregando...
Imagem de Miniatura

Data

2016-05-20

Título da Revista

ISSN da Revista

Título de Volume

Editor

Resumo

The critical dynamics near the transition from unlimited to limited action diffusion for two families of well known dissipative nonlinear maps, namely the dissipative standard and dissipative discontinuous maps, is characterized by the use of an analytical approach. The approach is applied to explicitly obtain the average squared action as a function of the (discrete) time and the parameters controlling nonlinearity and dissipation. This allows to obtain a set of critical exponents so far obtained numerically in the literature. The theoretical predictions are verified by extensive numerical simulations. We conclude that all possible dynamical cases, independently on the map parameter values and initial conditions, collapse into the universal exponential decay of the properly normalized average squared action as a function of a normalized time. The formalism developed here can be extended to many other different types of mappings therefore making the methodology generic and robust.

Descrição

Palavras-chave

Dissipative dynamics, Nonlinear map, Scaling

Como citar

Physics Letters, Section A: General, Atomic and Solid State Physics, v. 380, n. 22-23, p. 1959-1963, 2016.

Coleções