105 citations · 420 across the 12 of their papers we have counts for
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Volterra-series approach to stochastic nonlinear dynamics: linear response of the Van der Pol oscillator driven by white noise
Roman Belousov, Florian Berger, A. J. Hudspeth
The Van der Pol equation is a paradigmatic model of relaxation oscillations. This remarkable nonlinear phenomenon of self-sustained oscillatory motion underlies important rhythmic…
A Volterra-series approach to stochastic nonlinear dynamics: The Duffing oscillator driven by white noise
Roman Belousov, Florian Berger, A. J. Hudspeth
The Duffing oscillator is a paradigm of bistable oscillatory motion in physics, engineering, and biology. Time series of such oscillations are often observed experimentally in a no…
Fluctuation theory in space and time: white noise in reaction-diffusion models of morphogenesis
Roman Belousov, Adrian Jacobo, A. J. Hudspeth
The precision of reaction-diffusion models for mesoscopic physical systems is limited by fluctuations. To account for this uncertainty, Van Kampen derived a stochastic Langevin-lik…