Chaotic Vibrations and Instabilities . . . (MS24)

MS24 ~ Monday, May 22, 1995 ~ 2:30 PM

Chaotic Vibrations and Instabilities in Partial Differential Equations

The study of nonlinear vibrations/oscillations in mechanical and electronic systems has always been an important area of research by scientists and engineers. In recent years, the primary emphasis is focused on chaotic phenomena. While important progress in the development of mathematical chaos theory is being made for second order nonlinear ODEs arising from nonlinear springs and electronic circuits, the state of understanding of chaos in mechanical systems governed by analogous nonlinear second order (or higher) PDEs is still quite poor. In this minisymposium, the speakers will describe their recent findings and discuss simulation and animation of chaotic vibrations and instabilities in distributed parameter systems.

Organizers: Goong Chen, Texas A&M University, College Station and Sze-Bi Hsu, National Tsing Hua University, Taiwan

Chaotic Vibrations of the Infinite Dimensional Harmonic Oscillator (I): Classification of Behavior of a Single Oscillator: Sze-Bi Hsu, Organizer
Chaotic Vibrations of the Infinite Dimensional Harmonic Oscillator (II): Two Nonlinearly Coupled Oscillators: Goong Chen, Organizer
Chaotic Vibrations of the Infinite Dimensional Harmonic Oscillator (III): Video Animation: Jianxin Zhou, Texas A&M University, College Station
Global Behavior of a KdV Equation with Point Dissipation: David Russell, Virginia Polytechnic Institute and State University

3/15/95