Synchronization in the presence of memory

• Published in: Europhysics letters Vol. 79; no. 1; pp. 10002 - 10002(6)
• Main Authors: Morgado, R, Cieśla, M, Longa, L, Oliveira, F. A
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.07.2007; EDP Sciences
• Subjects: 05.45.Jn; 05.45.Xt
• ISSN: 0295-5075; 1286-4854
• DOI: 10.1209/0295-5075/79/10002

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.