Spatiotemporal Chaos, Localized Structures And Synchronization In The Vector Complex Ginzburg-Landau Equation

Introduction Starting from the pioneering experimental study by Huygens with two marine pendulum clocks hanging from a common support [Huygens, 1665] , synchronization phenomena have been subject of intense study in many physical and biological systems [Winfree, 1980; Strogatz and Steward, 1993] . Since [Pecora and Carroll, 1990] established that chaotic oscillators can also become synchronized, many applications and extensions of the original idea have been identified. Some of them are the possibilities of partial (i.e. phase) synchronization [Rosenblum et al., 1996] , generalized synchronization [Rulkov et al., 1995; Kocarev and Parlitz, 1996a] , and synchronization of spatiotemporally chaotic systems [Amengual et al., 1997] . A natural class of systems in which synchronization of spatiotemporal chaos can be explored is the one constructed in the following way [Kocarev and Parlitz, 1996b] : Take a couple of c