Understanding Stochastic Oscillators through Linear Algebra
Abstract: Many rhythmic phenomena in natural and engineered systems may be approximately described by limit cycles -- closed, periodic solutions of systems of nonlinear ordinary differential equations. When working with real data, one often confronts irregular rhythmic oscillations that are best modeled by stochastic differential equations. In this talk, I will discuss recent work on how to generalize concepts from deterministic dynamical systems, such as phase reduction, to stochastic (noisy, irregular) dynamical systems.
(Title in Progress)
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