Experimental synchronization of spatiotemporal chaos in nonlinear optics

Abstract

We demonstrate that a unidirectional coupling between a pattern forming system and its replica induces complete synchronization of the slave to the master system onto a spatiotemporal chaotic state.

Chaotic synchronization in coupled spatially extended beam–plasma systems

“…The study of chaotic synchronization in the spatially extended systems was experimentally an theoretically carried out for the nonlinear optical [31][32][33] and chemical [34] systems and for the low-frequency oscillations in plasma discharge tubes [35,36]. It was shown that while introducing the unidirectional or symmetric coupling in the distributed systems they demonstrate the various types of chaotic synchronization, namely the complete, lag and generalized synchronization.…”

“…Most research dealing with chaotic synchronization were realized for the systems with low number of degrees of freedom [2][3][4]14] and for the sample models of spatially extended systems (chains and networks of coupled nonlinear chaotic oscillators [3,[25][26][27], coupled Ginsburg-Landau [3,28,29] and Kuramoto-Sivashinsky [30] equations and others). The study of chaotic synchronization in the spatially extended systems was experimentally an theoretically carried out for the nonlinear optical [31][32][33] and chemical [34] systems and for the low-frequency oscillations in plasma discharge tubes [35,36]. It was shown that while introducing the unidirectional or symmetric coupling in the distributed systems they demonstrate the various types of chaotic synchronization, namely the complete, lag and generalized synchronization.…”