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Delay-induced synchronization phenomena in an array of globally coupled logistic maps

Autor
Marti, A. C.; Masoller, C.
Tipus d'activitat
Article en revista
Revista
Physical review E: statistical, nonlinear, and soft matter physics
Data de publicació
2003-05
Volum
67
Número
5
Pàgina inicial
056219-1
Pàgina final
056219-6
DOI
https://doi.org/10.1103/PhysRevE.67.056219 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/22262 Obrir en finestra nova
URL
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.67.056219 Obrir en finestra nova
Resum
We study the synchronization of a linear array of globally coupled identical logistic maps. We consider a time-delayed coupling that takes into account the finite velocity of propagation of the interactions. We find globally synchronized states in which the elements of the array evolve along a periodic orbit of the uncoupled map, while the spatial correlation along the array is such that an individual map sees all other maps in his present, current, state. For values of the nonlinear parameter s...
Citació
Martí, A.C.; Masoller, C. Delay-induced synchronization phenomena in an array of globally coupled logistic maps. "Physical review E: statistical, nonlinear, and soft matter physics", Maig 2003, vol. 67, núm. 5, p. 056219-1-056219-6.
Grup de recerca
DONLL - Dinàmica no Lineal, Òptica no Lineal i Làsers

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