64 citations · 356 across the 30 of their papers we have counts for
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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…
math.DS2019★ 3 cited
Shape versus timing: linear responses of a limit cycle with hard boundaries under instantaneous and static perturbation
Yangyang Wang, Jeffrey P. Gill, Hillel J. Chiel +1
When dynamical systems that produce rhythmic behaviors operate within hard limits, they may exhibit limit cycles with sliding components, that is, closed isolated periodic orbits t…