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Fourth International Conference on Dynamic Systems and Applications
May 21-24, 2003
Department of Mathematics, Morehouse College
Atlanta, GA, USA

Organizers
M. Sambandham

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Nonlinear beam equation as a model of suspension bridge - bifurcation of multiple solutions
by
Pavel Drabek
University of West Bohemia in Pilsen, Univerzitni 22, 306 14 Plzen, Czech Republic
Coauthors: Gabriela Holubova, Petr Necesal

We shall discuss the structure of the solution set of nonlinear beam equation introduced by P.J. McKenna and A.C. Lazer to model the periodic motion of suspension bridge. We shall use the approach based on the bifurcation theory and show how the relation between the length of the bridge and the period of external force affects the existence of large scale oscillations. The relation to the Fucik spectrum, some simplified models as well as some open problems will be addressed.

Date received: February 20, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakr-37.