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math.DS2021
Isostables for stochastic oscillators
Alberto Pérez-Cervera, Benjamin Lindner, Peter J. Thomas
Thomas and Lindner (2014, Phys.Rev.Lett.) defined an asymptotic phase for stochastic oscillators as the angle in the complex plane made by the eigenfunction, having a complex eigen…
math.DS2019★ 1 cited
A Partial Differential Equation for the Mean--Return-Time Phase of Planar Stochastic Oscillators
Alexander Cao, Benjamin Lindner, Peter J. Thomas
Stochastic oscillations are ubiquitous in many systems. For deterministic systems, the oscillator's phase has been widely used as an effective one-dimensional description of a high…