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physics.bio-ph2019★ 7 cited
Fredholm theory for the mean first-passage time of integrate-and-fire oscillators with colored noise input
Carl van Vreeswijk, Farzad Farkhooi
We develop a method to investigate the effect of noise timescales on the first-passage time of nonlinear oscillators. Using Fredholm theory, we derive an exact integral equation fo…
physics.bio-ph2015★ 5 cited
Renewal Approach to the Analysis of the Asynchronous State for Coupled Noisy Oscillators
Farzad Farkhooi, Carl van Vreeswijk
We develop a framework in which the activity of nonlinear pulse-coupled oscillators is posed within the renewal theory. In this approach, the evolution of inter-event density allow…