J.J.P. Veerman (Portland State University): Synchronization of large linear oscillator arrays

Mon, 10/20/2014

Everyone is warmly welcome to attend the talk by our guest lecturer. The talk starts at 15:00 at K14 seminar room of the Dept. of Control Engineering FEE CTU in Prague, Karlovo náměstí 13/E. Duration 60 to 90 minutes.

Abstract: Synchronization of a large collection of coupled, simple dynamical systems is a problem that has applications from neuroscience to traffic modeling to modeling of consensus formation. Consider an array of identical linear oscillators, each coupled to its front and rear neighbor. The coupling may be asymmetric. If we kick the front oscillator (the leader), how does this signal propagate through the system? In some isolated cases, for certain values of the parameters, the answer is well-known, but until recently the only general results applicable to large were very qualitative. We developed a theory that gives the correct quantitative description. The theory uses ideas from partial differential equations, but without taking a continuum limit. We will describe the theory and the conjectures it is based upon, as well as the quantitative results.

Professor Veerman is a Full Professor of Mathematics at Fariborz Maseeh Department of Mathematics and Statistics at Portland State University. He got his PhD in 1986 from Cornell University. See the attached bio.