Lecture

Course: Stability of Collective Dynamics in Complex Networks

This course by Eddie Nijholt (USP) gives an introduction to the synchronization dynamics of network dynamical systems.

How does network structure shape the emergent synchronization dynamics. The course "Stability of Collective Dynamics in Complex Networks" gives an introduction to the dynamical properties of networks of coupled dynamical nodes. In particular, the course explores how traditional pairwise and higher-order network interactions shape the synchronization dynamics.

Lecture material

Lecture notes

Paper: Emergent hypernetworks in weakly coupled oscillators

Paper: A parametrisation method for high-order phase reduction in coupled oscillator networks

Further reading

TBA

Other BeyondTheEdge courses

Higher-Order Interaction Networks: An Introduction

Higher-Order Methods for Data