76 citations · 331 across the 11 of their papers we have counts for
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nlin.CD2010★ 12 cited
Effective phase description of noise-perturbed and noise-induced oscillations
Justus T. C. Schwabedal, Arkady Pikovsky
An effective description of a general class of stochastic phase oscillators is presented. For this, the effective phase velocity is defined either by invariant probability density…
nlin.CD2010★ 31 cited
Effective phase dynamics of noise-induced oscillations in excitable systems
Justus T. C. Schwabedal, Arkady Pikovsky
We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribu…