Synchronization in the presence of memoryR. Morgado1, 2, M. Ciesla1, L. Longa1, 2 and F. A. Oliveira1, 2
1 Marian Smoluchowski Institute of Physics, Jagellonian University, Department of Statistical Physics and Mark Kac Complex Systems Research Center - Reymonta 4, Kraków, Poland
2 Institute of Physics and International Center of Condensed Matter Physics, University of Brasília, Campus Universitário Darcy Ribeiro, CP 04513, CEP 70919-970 Brasília, DF, Brazil
received 25 January 2007; accepted in final form 16 May 2007; published July 2007
published online 5 June 2007
We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general the synchronization transition becomes more difficult to meet when the memory range increases, for intermediate ranges the synchronization tendency of systems can be enhanced. Generally the synchronization transition is found to depend on the memory profile and range and the ratio of noise strength to memory amplitude, which indicates a possibility of optimizing synchronization by memory. We also point out a close link between dynamics with memory and noise, and recently discovered synchronizing properties of networks with delayed interactions.
05.45.Xt - Synchronization; coupled oscillators.
05.45.Jn - High-dimensional chaos.
© Europhysics Letters Association 2007