From synchronous to one-time delayed dynamics in coupled maps.
Phys Rev E
; 95(6-1): 062213, 2017 Jun.
Article
em En
| MEDLINE
| ID: mdl-28709265
We study the completely synchronized states (CSSs) of a system of coupled logistic maps as a function of three parameters: interaction strength (É), range of the interaction (α), that can vary from first neighbors to global coupling, and a parameter (ß) that allows one to scan continuously from nondelayed to one-time delayed dynamics. In the α-É plane we identify periodic orbits, limit cycles, and chaotic trajectories, and describe how these structures change with delay. These features can be explained by studying the bifurcation diagrams of a two-dimensional nondelayed map. This allows us to understand the effects of one-time delays on CSSs, e.g., regularization of chaotic orbits and synchronization of short-range coupled maps, observed when the dynamics is moderately delayed. Finally, we substitute the logistic map with cubic and logarithmic maps, in order to test the robustness of our findings.
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Tipo de estudo:
Prognostic_studies
Idioma:
En
Revista:
Phys Rev E
Ano de publicação:
2017
Tipo de documento:
Article
País de afiliação:
Brasil
País de publicação:
Estados Unidos