DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**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.

**Place:** Science and Technology Building I, Room 242

** Presentation files: ** [ppt]

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491