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arXiv · 1002.0459

Effective phase dynamics of noise-induced oscillations in excitable systems

Justus T. C. Schwabedal·Arkady Pikovsky
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Abstract

We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribution density of noise-induced oscillations. In the simplest one-dimensional case the effective phase equation is obtained analytically, whereas for more complex situations a simple method of data processing is suggested. As an application an effective coupling function is constructed that quantitatively describes periodically forced noise-induced oscillations.

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Justus T. C. Schwabedal, Arkady Pikovsky. 2010-02-02. Effective phase dynamics of noise-induced oscillations in excitable systems. https://doi.org/10.1103/physreve.81.046218

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