LCDS Seminars 2003

Monday, March 17, 2003

Lefschetz Center for Dynamical Systems Seminar

Speaker :	Yingfei Yi, Georgia Institute of Technology
Title :	Mechanism of Destruction of Resonant Tori in Hamiltonian Systems
Time/Place :	4:00 p.m., B&H 155

Abstract: It is well known that resonant tori in an integrable Hamiltonian system tend to be destroyed under arbitrary generic perturbations and to give rise to a resonance zone containing both stochastic trajectories and regular orbits. Based on classical work of Poincare on the destruction of invariant tori of maximal resonance, this lecture will explain a general mechanism for the destruction of resonant tori and the onset of regular orbits in nearly integrable Hamiltonian systems. In particular, by considering a small divisor problem, it will be shown that the majority of Poincare non-degenerate n-tori will persist on any resonant surface of dimension n.

Thursday, March 20, 2003

Special Lefschetz Center for Dynamical Systems Seminar

Speaker :	Yingfei Li, Georgia Institute of Technology
Title :	Traveling Wave Solutions in a Tissue Interaction Model
Time/Place :	4:30 p.m., B&H 155

Abstract : The skin of vertebrates forms many specialized structures such as hair, scales, feathers, glands, etc., which are distributed over the skin in a highly ordered fashion. The mechanisms involved in the formation and distribution of these appendages are far from being well understood. In 1992, by adopting a reaction-diffusion-chemotaxis mechanism, Cruywagen and Murray introduced a tissue interaction model for vertebrate skin pattern morphogenesis in which traveling wave solutions arise as a natural biological object. This lecture will discuss the problem of existence and uniqueness of traveling wave solutions for this model, along with the application of invariant manifold methods and techniques of geometric singular perturbation.

Monday, April 14, 2003

Lefschetz Center for Dynamical Systems Seminar

Speaker :	Stefan Siegmund ( Boston University and University of Frankfurt )
Title :	Introduction to Nonautonomous Inertial Manifolds
Time/Place :	4:00 p.m., B&H 161

Abstract : Inertial manifolds are a modern tool in the qualitative theory of partial differential equations. They contain the global attractor and allow for a reduction to a finite-dimensional system. In this talk we give an introduction and present a geometric approach to inertial manifolds for nonautonomous dynamical systems. We present a new application to time-dependent evolution equations.

Monday, April 21, 2003

Lefschetz Center for Dynamical Systems Seminar

Speaker :	Roger Nussbaum, Rutgers University
Title :	Linear Perron-Frobenius Operators and the Hausdorff Dimension of Fractals
Time/Place :	4:00 p.m., B&H 161

Monday, April 28, 2003

Lefschetz Center for Dynamical Systems Seminar

Speaker :	Konstantin Mischaikow, Georgia Institute of Technology
Title :	Computational Homology and Analysis of Geometric Data
Time/Place :	4:00 p.m., B&H 155

Monday, November 10, 2003

Lefschetz Center for Dynamical Systems Seminar

Speaker :	Philippe LeFloch, Ecole Polytechnique
Title :	Recent Results on Nonlinear Hyperbolic Systems
Time/Place :	4:00 p.m., B&H 155

Last change: Mar. 3, 2006

This page conforms to the HTML 4.01 standard and uses style sheets.