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Oscillatory networks and the Ott Antonsen theoryd

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Difficulty level
Intermediate
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Type
Duration
1:26:02

Weakly coupled oscillators

Topics covered in this lesson
  1. Computing isochrones explicitly (example)
  2. Phase-resetting curves
  3. Coupled oscillators
  4. Synchronisation
  5. Normalization
  6. 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 neurosciences. 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.