Workshop on Bifurcation Theory and Spatio-Temporal Pattern Formation in PDE
Description
Nonlinear phenomena and the formation of spatio-temporal patterns play an increasingly important role in current research on partial differential equations. Progress in the past quarter-century in the development of equivariant bifurcation theory and the theory of mode interactions and deterministic chaos has made possible a better understanding of spatio-temporal patterns in a wide variety of physical and biological contexts. This Workshop will contribute to the Thematic Program along this important direction of current research and will complement the related Workshop on Patterns in Physics, November 14-18, 2003. Recent progress in equivariant bifurcation theory for Hamiltonian systems and in particular the Hamiltonian-Hopf bifurcation also will be addressed in the Workshop, thus providing a segue to the winter-spring component of the Thematic Program on PDE's.
The Workshop will be dedicated to Professor William Langford, one of the pioneering researchers in the field of bifurcation theory in Canada. At the banquet on Friday evening, we will recognize his fundamental contributions and leadership in bifurcation theory and pattern formation, and acknowledge his service to the Canadian mathematical community, on the occasion of his 60th birthday.
The Workshop is financially sponsored and hosted by The Fields Institute. The USA National Science Foundation and the Department of Mathematics and Statistics, University of Guelph provide additional financial support..
Invited Speakers
Sue Ann Campbell (Waterloo) John Chadam (Pittsburgh) Walter Craig (McMaster) Michael Dellnitz (Paderborn) Mike Field (Houston) Leon Glass (Centre for Nonlinear Dynamics, McGill) Martin Golubitsky (Houston) John Guckenheimer (Cornell) George Haller (MIT) Philip Holmes (Princeton) Gerard Iooss (Institut Non-Linéaire, Nice) Yannis Kevrekidis (Princeton) |
Barbara Keyfitz (Houston) Edgar Knobloch (Leeds) Martin Krupa (New Mexico State University) Jeroen Lamb (Imperial College, London) Ian Melbourne (Surrey) Stephen Morris (Toronto) Mary Pugh (Toronto) Mark Roberts (Surrey) Andre Vanderbauwhede (Gent) Jianhong Wu (York) James Yorke (Maryland) Pei Yu (UWO) |
Financial support
Funding support is available for graduate students and postdoctoral fellows to partially cover local expenses and travel. Application deadline: November 14, 2003.
Registration
Online registration for this event is now closed. On-site registration will be available at the event.
Schedule
08:30 to 09:15 |
Registration and Continental Breakfast
|
09:15 to 09:30 |
Welcome and Opening Remarks
|
09:30 to 10:00 |
Spatio-temporal patterns in heat exchanger tube arrays
William Langford, University of Guelph |
10:00 to 10:30 |
Coupled cell systems: a potpourri of theory and examples
Martin Golubitsky, The Ohio State University |
10:30 to 11:00 |
Coffee Break
|
11:00 to 11:30 |
Coupled cell systems: a potpourri of theory and examples
Sue Ann Campbell, University of Waterloo |
11:30 to 12:00 |
Experiments on Bifurcations in Annular Electroconvection
Stephen Morris, University of Toronto |
12:00 to 14:00 |
Lunch
|
14:00 to 14:30 |
The van der Pol Equation and the Origins of Chaos
John Guckenheimer |
14:30 to 15:00 |
On the Identification of Macroscopic Dynamical Structures
Michael Dellnitz, University of Paderborn |
15:00 to 15:30 |
Equation-Free Modeling of Complex Systems through Timesteppers: Enabling Microscopic Simulators to perform System Level Tasks
Yannis Kevrekidis, Johns Hopkins University |
15:30 to 16:00 |
Afternoon Tea
|
16:00 to 16:30 |
Bifurcation of Shock Reflection Patterns
Barbara Keyfitz, The Ohio State University |
16:30 to 17:00 |
Stable periodic solutions in delay differential systems: a contructive approach coupled with regular perturbation analysis
Jianhong Wu, York University |
17:00 to 18:30 |
Reception
|
08:30 to 09:00 |
Continental Breakfast
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09:00 to 09:30 |
Dynamics of an 0-1-2 O(2)-equivariant system: Heteroclinic cycles and periodic orbits
Philip Holmes, Princeton University |
09:30 to 10:00 |
Elemental Periodic Orbits of the Circular Restricted 3-Body Problem
|
10:00 to 10:30 |
Oscillatory binary fluid convection in finite containers
Edgar Knobloch |
10:30 to 11:00 |
Coffee Break
|
11:00 to 11:30 |
Influence of the essential spectrum for bifurcations of travelliong waves in water wave problems
Gerard Ioos, Université de Nice |
11:30 to 12:00 |
Product Dynamics
Michael Fields, University of Houston |
12:00 to 14:00 |
Lunch
|
14:00 to 14:30 |
Dynamics of Reentrant Tachycardia
Leon Glass, McGill University |
14:30 to 15:00 |
Strange eigenmodes in the mixing of diffusive tracers
George Haller, Massachusetts Institute of Technology |
15:00 to 15:30 |
Delay induced oscillations in drug administration
Jacques Bélair, Université de Montréal |
15:30 to 16:00 |
Afternoon Tea
|
16:00 to 16:30 |
Blowing-up exact solutions of long-wave unstable thin film equations
Mary Pugh, University of Toronto |
16:30 to 17:00 |
Invariant tori for PDE
Walter Craig, McMaster University and The Fields Institute |
18:30 to 19:00 |
Cash Bar Reception
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19:00 |
Banquet at Hart House
|
08:30 to 09:00 |
Continental Breakfast
|
09:00 to 09:30 |
Subharmonic branching in equivariant reversible systems
Andre Vanderbauwhede, Universiteit Gent |
09:30 to 10:00 |
Symmetric Chaos in a Local Codimension Two Bifurcation with $D_4$ symmetry
Ian Melbourne |
10:00 to 10:30 |
Reversible equivariant Hopf bifurcation
Jeoren Lamb, Imperial College London |
10:30 to 11:00 |
Coffee Break
|
11:00 to 11:30 |
Bifurcations of molecular and gravitational N-body problems
Mark Roberts, University of Surrey |
11:30 to 12:00 |
Canards and mixed-mode oscillations
Martin Krupa, New Mexico State University |
12:00 to 14:00 |
Lunch
|
14:00 to 14:30 |
Bioremediation of waste in a porous medium
John Chadam, University of Pittsburgh and Unniversity of Pittsburgh |
14:30 to 15:00 |
Weather prediction and chaos
James Yorke, University of Maryland |
15:00 to 15:30 |
Twelve limit cycles in a cubic case of the 16th Hilbert problem
Pei Yu, Western University |
15:30 to 16:00 |
Afternoon Tea
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