Oscillatory Networks and the Ott Antonsen Theory
In this lecture, you will learn about rules governing coupled oscillators, neural synchrony in networks, and theoretical assumptions underlying current understanding.
- Computing isochrones explicitly (example)
- Phase-resetting curves
- Coupled oscillators
- Perturbation theory
Some familiarity with the electrical properties of neurons, for instance the (longer) introductory lectures in Cellular Mechanisms of Brain Function or the (shorter) tutorial series on Basic Mathematics for Computational Neuroscience. Knowledge of differential equations. Some familiarity with dynamical systems concepts and/or linear algebra (stability, equilibrium, matrices, finding eigenvalues).
The previous lectures in the series.