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Dynamical Mechanism of Anticipating Synchronization in Excitable Systems

2004/01/12 by Marzena Ciszak, Francesco Marino, Raúl Toral +3 · 1 citation
Computer Science · Neuroscience · Physics and Astronomy · #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #cond-mat #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physrevlett.93.114102

4 pages including 7 figures. Submitted for publication

arxiv created 2004/01/12 · openalex publication_date 2004/09/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 us to explain in a simple way the mechanism behind the phenomenon of anticipating synchronization in excitable systems.

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