Sunday, May 23
MS8
Fourth-Order Hamiltonian Systems and Variational Techniques in Dynamics
10:00 AM-12:00 PM
Room: Superior A
Fourth-order Hamiltonian systems arise in many physical models from
areas such as phase transitions, optics, and nonlinear elasticity.
These systems can be studied using variational methods or techniques
from the theory of dynamical systems. In many cases a combination of
ideas from both areas has provided the most successful analysis. The
speakers in this minisymposium will discuss these approaches and
explore applications and related problems, such as pattern formation
in evolution equations and elliptic systems.
Organizer: William Kalies
Florida Atlantic University
Robert VanderVorst,
Georgia Institute of Technology
- 10:00-10:25 Snaking Curves of Multibumps, Degenerate
Hamiltonian Hopf Bifurcation and Cellular Buckling of Long Structures
- Alan Champneys and Patrick D. Woods, University of
Bristol, United Kingdom
- 10:30-10:55 The Saddle-Focus Induced Homotopy Classes and
Their Action Minimizing Orbits for Hamiltonian Systems with Two
Degrees of Freedom
- Jaroslaw Kwapisz, Montana State University
- Cancelled
11:00-11:25 Homoclinic
Orbits to Hamiltonian Saddle-Centers
Clodoaldo Grotta Ragazzo, Universidade de Sao Paulo, Brazil
- 11:00-11:25 Travelling
Waves for Fourth-order Semilinear Parabolic Equations
- Jan Bouwe van den Berg and Joost Hulshof, Leiden
University, The Netherlands; and Robert VanderVorst, Georgia
Institute of Technology
- 11:30-11:55 An Elliptic Equation with Spike Solutions
Concentrating at Local Minima of the Laplacian
- Gregory S. Spradlin, United States Military Academy
- MMD, 4/30/99
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