[Winter 1999 Colloquiums]
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COLLOQUIUM

DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309

Goong Chen
Mathematics Department
Texas A&M University

Chaotic Vibration of the One-Dimensional Wave
Equation due to Nonlinear Feedback Boundary Control

Abstract

Chaos or turbulence due to nonlinearities in partial differential equations is a vast open research area. In this talk we will study some cases of simple nonlinear boundary conditions for the initial-boundary value problem of the one-dimensional linear wave equation. We show heuristically several routes to causes of chaos, including period-doubling, homoclinic orbits, energy injection, energy transport, etc. Chaotic behavior of wave vibration will be illustrated by computer graphics.

372 Science and Engineering Building
Tuesday, April 20, 1999
3:00­4:00 P.M.

Refreshments at 2:30­3:00 PM in Room 368, Science and Engineering Building