Practical Questions and Unexpected Answers in Network Synchronization - Optimization and Control

Explore a comprehensive lecture on network synchronization, optimization, and control, delving into practical questions and unexpected answers. Examine cardiac pacemaker cells, Escherichia coli cell cycles, and Kuramoto phase oscillators. Investigate the assumption of strong synchronization, Laplacian spectral properties, and order parameters. Analyze optimal network structures and dynamics, including networks with subsystems. Learn about control strategies for finding and stabilizing frequency-synchronized states using the Gershgorin circle theorem. Discover control mechanisms and the expansion of the SAF (Synchronization Assessment Function) in this in-depth exploration of complex systems.

Intro
Cardiac Pacemaker Cells
Escherichia coli Cell Cycles
Kuramoto Phase Oscillators
Beginning assumption: strong synchronization
Laplacian Spectral Properties
Back to the order parameter
Optimizing Synchronization
Structure and Dynamics of Optimal Networks
Networks with subsystems
Control Strategy: Find and stabilize a frequency-synchronized state
Gershgorin circle theorem
Control Mechanism
Expansion of the SAF