Sunday, May 23

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 NewTravelling 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

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MMD, 4/30/99