Chimera States in Mechanical Oscillator Networks by Shashi Thutupalli

Explore chimera states in mechanical oscillator networks in this 45-minute lecture from the Dynamics of Complex Systems 2018 program. Delve into topics like longitude measurement, synchronization heuristics, the Kuramoto model, and global/local coupling. Examine experimental designs, hierarchical networks, and various chimera phenomena including intermittent chaotic chimeras. Gain insights into coupled rotators, oscillator populations, and the extension of Huygens' work through Pantaleone's generalization. Suitable for those interested in non-linear dynamics, complex systems, and network theory.

Syllabus

Longitude measurement
Heuristics: synchronisation
Two-timing, amplitude-phase equations
N oscillators
The Kuramoto Model
Global/local coupling: synchrony OR desynchrony
Chimera state in oscillator populations
The simplest hierarchical network two identical coupled populations
A couple of 'experiments'
Experimental design
We've seen these before
Extending Pantaleone generalising Huygens
Example
The chimera zoo
Coupled rotators
Intermittency and Intermittent chaotic chimeras
the fellowship of the disorder of the chimera