Kolloquium: Marius Yamakou (FAU): Habilitations-Vorstellungsvortrag: Weak Stochastic Perturbations of a Multiple Timescale Dynamical System: Insights into Self-Induced Stochastic Resonance

Datum: 16-04-2024Zeit: 16:30 – 17:30Ort: Hörsaal H13, Cauerstr. 11, 91058 Erlangen

Habilitations-Vorstellungsvortrag: Weak Stochastic Perturbations of a Multiple Timescale Dynamical System: Insights into Self-Induced Stochastic Resonance – Vortragender: Marius Yamakou, FAU Erlangen-Nürnberg – Einladender: K.-H. Neeb

Abstract: How do biological neurons use stochastic noise to encode information deterministically? This talk considers a stochastic multiple-timescale dynamical system with a strong timescale separation modeling a biological neuron in the excitable state, i.e., where the zero-noise dynamics do not display a limit cycle nor even its precursor. Within the frameworks of Geometric Singular Perturbation Theory and Large Deviation Theory, I will establish, with high precision, the asymptotic matching conditions and locations under which and where a stochastic phase trajectory almost surely escapes from the normally hyperbolic parts of the critical manifold periodically, thereby inducing a limit cycle solution that is absent without noise. The analysis unveils a nuanced mechanism in neuroscience known as self-induced stochastic resonance, where stochastic noise is pivotal in optimizing the periodic processing of information within the neuron, revealing an intricate interplay between determinism and stochasticity.

Zum Kalender hinzufügen

Details

Datum:
16-04-2024
Zeit:
16:30 – 17:30
Ort:

Hörsaal H13, Cauerstr. 11, 91058 Erlangen

Veranstaltungskategorien:
kolloquium