Intermittent lag synchronization in a nonautonomous system of coupled oscillators

Abstract

In this paper, an analysis for chaos synchronization under nonvanishing perturbations is presented. In particular, we use model-matching approach from nonlinear control theory for output synchronization of identical and nonidentical chaotic systems under nonvanishing perturbations in a master-slave configuration. We show that the proposed approach is indeed suitable to synchronize a class of perturbed slaves with a chaotic master system; that is the synchronization error trajectories remain bounded if the perturbations satisfy some conditions. In order to illustrate this robustness synchronization property, we present two cases of study: (i) for identical systems, a pair of coupled Rossler systems, the first like a master and the other like a perturbed slave, and (ii) for nonidentical systems, a Chua's circuit driving a Rossler/slave system with a perturbed control law, in both cases a quantitative analysis on the perturbation is included. " 2006 Elsevier Ltd. All rights reserved.",,,,,,"10.1016/j.chaos.2006.10.020",,,"http://hdl.handle.net/20.500.12104/43443","http://www.scopus.com/inward/record.url?eid=2-s2.0-40749096511&partnerID=40&md5=abb59662e1e43e746ab78fb7d15518b9",,,,,,"4",,"Chaos, Solitons and Fractals",,"1172

1186",,"37",,"Scopus

WOS",,,,,,,,,,,,"Output synchronization of chaotic systems under nonvanishing perturbations",,"Article" "44128","123456789/35008",,,"López Méndez, Graciela",,"2001",,,,,,,,,,"0187-7674",,"http://hdl.handle.net/20.500.12104/42349",,"Español",,,,"77",,"Confines de relaciones internacionales y ciencia política",,"26-38",,"14",,"CLASE",,,,,,,,"Empresas",,"El sector comercial de México: estructura y características de su competencia","El sector comercial de México",,,"journalArticle", "44097","123456789/35008",,"Pisarchik, A.N., Centro de Investigaciones en Optica, Loma del Bosque, 115, Col. Lomas del Campestre, 37150 Leon, Guanajuato, Mexico; Jaimes-Reategui, R., Universidad de Guadalajara, Campus Universitario Los Lagos, E. D. de Leon, Paseo de Las Montanas, Lagos del Moreno 47460, Jalisco, Mexico",,"Pisarchik, A.N.

Jaimes-Reategui, R.",,"2005",,"Synchronization properties of two identical mutually coupled Duffing oscillators with parametric modulation in one of them are studied. Intermittent lag synchronization is observed in the vicinity of saddle-node bifurcations where the system changes its dynamical state. This phenomenon is seen as intermittent jumps from phase to lag synchronization, during which the chaotic trajectory visits closely a periodic orbit. Different types of intermittent lag synchronization are demonstrated and the simplest case of period-one lag synchronization is analyzed. " 2005 Elsevier B.V. All rights reserved.