Anticipated synchronization: a metaphorical linear view

Abstract

We study the regime of anticipated synchronization recently described on a number of dynamical systems including chaotic and noisy ones. We use simple linear caricatures to show the minimal setups able to reproduce the basic facts described.

7 pages,5 figures

References in corpus (4)

• Anticipating the response of excitable systems driven by random forcing
• Anticipated synchronization in coupled chaotic maps with delays
• Characterization of the anticipated synchronization regime in the coupled FitzHugh--Nagumo model for neurons
• Anticipating the dynamics of chaotic maps

Cited by in corpus (10)

• Anticipated synchronization in coupled inertia ratchets with time-delayed feedback: a numerical study
• Dynamical mechanism of anticipating synchronization in excitable systems
• Signal prediction by anticipatory relaxation dynamics
• Predict-prevent control method for perturbed excitable systems
• A negative group delay model for feedback-delayed manual tracking
• Inhibitory loop robustly induces anticipated synchronization in neuronal microcircuits
• Anticipated synchronization in coupled complex Ginzburg-Landau systems
• A universal negative group delay filter for the prediction of band-limited signals
• A simple predictor based on delay-induced negative group delay
• The leaky integrator with recurrent inhibition as a predictor