Speaker:Alexandra Landsman, NRL
Title: Some synchronization phenomena of nonlinear oscillators-Theory and Examples.
Abstract: Phase or frequency locking are universal phenomena seen in a wide range of coupled nonlinear systems having many important applications. After a brief overview, these types of phenomena are illustrated and explained using two examples. First, motivated by generating tunable high frequency radiation sources, phase-locking in coupled limit cycle oscillators is explained using two arrays of coupled Landau-Stuart oscillators. The same system is used to illustrate other phenomena resulting from coupling, such as ultraharmonic oscillations and oscillator death. Second, complete chaotic synchronization is explained in a system of 3 coupled semiconductor lasers. Concepts like generalized synchronization are introduced and explained in the context of explaining complete chaotic synchronization of time delayed systems.Time: Friday, November 2, 2007, 1:00-2:00 p.m.
Place: Science and Technology Building I, Room 242
Presentation files: [ppt]
Department of Mathematical Sciences
George Mason University
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