Periodic solutions

Thursday, September 6, 2012 - 10:00am - 11:00am
Martin Golubitsky (The Ohio State University)
This talk surveys recent results on phase-shift synchrony for periodic solutions of coupled systems of differential equations. The mathematical questions were motivated by previous work on quadrupedal gaits and help study a generalized model for binocular rivalry.
Thursday, October 25, 2012 - 11:30am - 12:20pm
Huaizhong Zhao (Loughborough University)
I will talk about the random periodic solutions of random dynamical systems generated by stochastic differential equations and stochastic partial differential equations. I will start with definition and motivations of studying a random periodic solution, and discuss its connection with periodic measure. I will demonstrate that to find a random periodic solution for a hyperbolic system is equivalent to solve a solution of coupled infinite horizon stochastic integral equations. This works for non-dissipative stochastic systems.
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