Friday, December 9, 2011, 3pm
Innovation Hall room 136
Carson Chow
Laboratory of Biological Modeling, NIDDK, NIH
Kinetic Theory of Coupled
Oscillators
Coupled oscillators arise in contexts as diverse as the brain,
synchronized flashing of fireflies, coupled Josephson junctions, or
unstable modes of the Millennium bridge in London. Generally,
such systems are either studied for a small number of oscillators or in
the infinite oscillator, mean field limit. The dynamics of large
but finite networks of oscillators is largely unknown. Kinetic
theory was developed by Boltzmann and Maxwell to show how microscopic
Hamiltonian dynamics of particles could account for the thermodynamic
properties of gases. Here, I will show how concepts of kinetic
theory can be applied to understand large but finite deterministic
coupled oscillator systems.