Wednesday, July 6, 2022 - 14:15 in V3-201 + Zoom
Emergence of phase-locked states for a deterministic and stochastic Winfree model with inertia
A talk in the Bielefeld Stochastic Afternoon series by
Marco Rehmeier
| Abstract: |
In this talk, we investigate the emergence of phase-locking for Winfree oscillators under the effect of inertia. It is known that in a large coupling regime, oscillators governed by the deterministic second-order Winfree model with inertia converge to a unique equilibrium. In contrast, in this paper, we show the asymptotic emergence of non-trivial synchronization in a suitably small coupling regime. Moreover, we study the effect of a new stochastically perturbed Winfree system with multiplicative noise and obtain lower estimates in probability for the pathwise emergence of such a synchronizing pattern, provided the noise is sufficiently small.
Within the CRC this talk is associated to the project(s): B1, B8 |
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