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20112025
most citedEmergence of oscillatory behaviors for excitable systems with noise and mean-field interaction, a slow-fast dynamics approach

18 citations · 43 across the 13 of their papers we have counts for

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Showing 2016 · math.PRShow all

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math.PR2016

Small noise and long time phase diffusion in stochastic limit cycle oscillators

Giambattista Giacomin, Christophe Poquet, Assaf Shapira

We study the effect of additive Brownian noise on an ODE system that has a stable hyperbolic limit cycle, for initial data that are attracted to the limit cycle. The analysis is pe…