Event Date/Time
Location
Maeder Hall Auditorium
Series/Event Type
As you read this abstract, your heartbeat is being triggered by thousands of pacemaker cells in your sinoatrial node, all firing in nearly perfect unison. Similar feats of synchronization occur in diverse systems ranging from fireflies and neurons to pendulum clocks and metronomes. Mathematical models of such systems have opened up new directions in nonlinear dynamics, sometimes with applications beyond their original motivation. Prof. Strogatz will discuss two case studies: (1) Charlie Peskin’s simplified model for pacemaker cells in the heart, whose analysis led to spinoffs in communications and electrical engineering; and (2) some new results and unsolved problems about how the topology of an oscillator network affects its tendency to synchronize, with connections to stochastic optimization and random graphs.