DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:**Bill Kalies, Florida Atlantic University

**Title: ***
Lattice Structures in Dynamics
*

**Abstract:**
The attractors in a dynamical system have a natural lattice
structure, which provides an algebraic characterization of
Conleyâ€™s decomposition of dynamics. The motivation for
studying these structures is to develop algorithms to study
global dynamics computationally.

In this talk I will present some recent work which shows that
there is no theoretical obstruction to computing these lattice
structures by using set-based, topological methods to
compute attracting neighborhoods. I will also describe some
ways in which these computational ideas may be applied.

**Time:** Friday, April 10, 2015, 1:30-2:30 p.m.

**Place:** Exploratory Hall, Room 4106

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