Dynamical mechanism of anticipating synchronization in excitable systems

Abstract

We analyze the phenomenon of anticipating synchronization of two excitable systems with unidirectional delayed coupling which are subject to the same external forcing. We demonstrate for different paradigms of excitable system that, due to the coupling, the excitability threshold for the slave system is always lower than that for the master. As a consequence the two systems respond to a common external forcing with different response times. This allows to explain in a simple way the mechanism behind the phenomenon of anticipating synchronization.

4 pages including 7 figures. Submitted for publication

References in corpus (4)

• Anticipating the response of excitable systems driven by random forcing
• Characterization of the anticipated synchronization regime in the coupled FitzHugh--Nagumo model for neurons
• Anticipated synchronization: a metaphorical linear view
• Anticipating the dynamics of chaotic maps

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