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Oscillatory Networks and the Ott Antonsen Theory

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Difficulty level
Intermediate
Speaker
Type
Duration
1:26:02

In this lecture, you will learn about rules governing coupled oscillators, neural synchrony in networks, and theoretical assumptions underlying current understanding.

Topics covered in this lesson
  • Computing isochrones explicitly (example)
  • Phase-resetting curves
  • Coupled oscillators
  • Synchronisation
  • Normalization
  • Perturbation theory
Prerequisites

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. 

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