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VOLUME 88, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 24 JUNE 2002 Critical Properties of the Synchronization Transition in Space-Time Chaos
 

Summary: VOLUME 88, NUMBER 25 P H Y S I C A L R E V I E W L E T T E R S 24 JUNE 2002
Critical Properties of the Synchronization Transition in Space-Time Chaos
Volker Ahlers and Arkady Pikovsky
Department of Physics, University of Potsdam, Postfach 601553, D-14415 Potsdam, Germany
(Received 24 October 2001; published 7 June 2002)
We study two coupled spatially extended dynamical systems which exhibit space-time chaos. The
transition to the synchronized state is treated as a nonequilibrium phase transition, where the average
synchronization error is the order parameter. The transition in one-dimensional systems is found to be
generically in the universality class of the Kardar-Parisi-Zhang equation with a growth-limiting term
("bounded KPZ"). For systems with very strong nonlinearities in the local dynamics, however, the
transition is found to be in the universality class of directed percolation.
DOI: 10.1103/PhysRevLett.88.254101 PACS numbers: 05.45.­a, 05.40.Ca
The synchronization of chaotic systems has been a very
active field in nonlinear dynamics since its discovery [1].
It has been observed in lasers, electronic circuits, and
chemical reactions [2]. In recent years, the synchroniza-
tion of spatially extended chaotic systems has attracted
particular interest [3]. Experimentally, the most promis-
ing systems to observe this phenomenon are optical ones.
Indeed, broad-area semiconductor lasers [4] demonstrate

  

Source: Ahlers, Volker - Fakultät IV - Wirtschaft und Informatik, Fachhochschule Hannover
Pikovsky, Arkady - Institut für Physik, Universität Potsdam

 

Collections: Computer Technologies and Information Sciences; Physics