Synchronization in the presence of memory

Abstract

We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when 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 range and the ratio of noise strength to memory amplitude, which indicates on a possibility of optimizing synchronization by memory. We also point out on a close link between dynamics with memory and noise, and recently discovered synchronizing properties of networks with delayed interactions.

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Cited by in corpus (6)

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• A framework for the local information dynamics of distributed computation in complex systems
• Synchronizability of chaotic logistic maps in delayed complex networks
• The Fluctuation-Dissipation Relations: Growth, Diffusion, and Beyond
• Thermodynamics aspects of noise-induced phase synchronization
• Polymer unfolding and motion synchronization induced by spatially correlated noise