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Asymptotic Phase for Stochastic Oscillators
Peter J. Thomas, Benjamin Lindner
Oscillations and noise are ubiquitous in physical and biological systems. When oscillations arise from a deterministic limit cycle, entrainment and synchronization may be analyzed…
Noise-controlled bistability in an excitable system with positive feedback
Justus A. Kromer, Reynaldo D. Pinto, Benjamin Lindner +1
We study the interplay between noise and a positive feedback mechanism in an excitable system that generates events. We show that such a system can exhibit a bistability in the dyn…
Event-triggered feedback in noise-driven phase oscillators
Justus A. Kromer, Benjamin Lindner, Lutz Schimansky-Geier
Using a stochastic nonlinear phase oscillator model, we study the effect of event-triggered feedback on the statistics of interevent intervals. Events are associated with the enter…