### GEORGE MASON
UNIVERSITY

DEPARTMENT OF MATHEMATICAL
SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:** Ernest Barreto, Physics and Krasnow Institute,
George Mason University

**Title: ***
Synchronization in interacting populations of oscillators
*

**Abstract:**
The Kuramoto system is a paradigmatic example that illuminates the mechanisms
by which synchronization arises in a large set of heterogeneous and
globally-coupled oscillators. Motivated by neurobiological dynamics, we study
multiple interacting Kuramoto systems in which the connectivity is specified by
a general matrix. Knowledge of this matrix is sufficient to determine the onset
of collective synchronous behavior. We also consider the case of time-dependent
coupling among the populations.

**Time:** Friday, December 7, 2007, 1:00-2:00 p.m.
**Place:** Science and Technology Building I, Room 242

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