STOR Colloquium: Priscilla Greenwood (Arizona State University)

Sustained Oscillations in Several Contexts and a General Formulation

Suppose a deterministic dynamical system exhibits damped  oscillations. If noise is "added", or better, of the system is more carefully modeled to include natural sources of stochasticity, the resulting stochastic system exhibits sustained oscillations, sometimes called "coherence resonance". This statement is a meta-theorem.

In this talk I will describe various contexts where we see this phenomenon:
a damped linear oscillator, an SIR epidemic model, a competing species
(Volterra) model, a Morris-Lecar neuron firing model.  I will report on efforts to formulate the meta-theorem as a theorem.

Refreshments will be served at 3:30pm in the 3rd floor lobby of Hanes Hall