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Schedule, Notes/Handouts & Videos

Introductory Workshop on Dynamical Systems with Emphasis on Extended Systems January 22, 2007 - January 26, 2007

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Jan 22, 2007
Monday
09:15 AM - 10:00 AM
  Dynamics of Emergence and Flocking.
Steve Smale (University of California, Berkeley)
10:30 AM - 11:15 AM
  Bifurcations in Coupled Systems
Martin Golubitsky
11:15 AM - 12:00 PM
  Oscillatory Motions. Arnold Diffusion, and Nonlocal Instabilities for the Planer 3 Body Problem
vadim kaloshin (University of Maryland)
01:30 PM - 02:30 PM
  Aspects of Arnold Diffusion
John Mather
03:00 PM - 03:45 PM
  Simple Examples of Arnold Diffusion
Mark Levi
Jan 23, 2007
Tuesday
09:00 AM - 09:45 AM
  Genericity of Chaotic Dynamics
Yakov Pesin (Pennsylvania State University)
09:45 AM - 10:30 AM
  Dynamical Networks
Leonid Bunimovich (Georgia Institute of Technology)
11:00 AM - 12:00 PM
  Rank One Attractors and Weak Chaos
Lai-Sang Young (New York University, Courant Institute)
02:00 PM - 03:00 PM
  Chaotic billiards
Nikolai Chernov
03:30 PM - 04:15 PM
  Recurrence Properties of Finite Horizon Galton Board
Dmitry Dolgopyat
04:15 PM - 05:00 PM
  Autonomous Coupled Oscillators with Hyperbolic Strange Attractors
Arkady Pikovsky
Jan 24, 2007
Wednesday
09:00 AM - 09:45 AM
  PDE Methods for Weak KAM Theory
Lawrence Evans (University of California, Berkeley)
09:45 AM - 10:30 AM
  Computational Dynamics and Homology
Konstantin Mischaikow (Rutgers University)
11:00 AM - 12:00 PM
  Dynamics of Reaction-Diffusion Patterns
Arjen Doelman
02:00 PM - 03:00 PM
  Dynamics of Nonlinear Waves
Bjorn Sandstede
03:30 PM - 04:15 PM
  Dynamical Systems Approach to Turbulence
Edriss Titi
Jan 25, 2007
Thursday
09:00 AM - 09:45 AM
  Pseudochaos
George Zaslavsky
09:45 AM - 10:30 AM
  Efficient Data Assimilation for Spatially Extended Systems
Brian Hunt
11:00 AM - 12:00 PM
  Do Invariant Manifolds Hold Water
Christopher Jones (Brown University)
01:45 PM - 02:30 PM
  Lagrangian Coherent Structures
Jerrold Marsden
02:30 PM - 03:15 PM
  Dynamics of 3D Volume-Preserving Maps
James Meiss (University of Colorado at Boulder)
Jan 26, 2007
Friday
09:00 AM - 09:45 AM
  Reducing Neuronal Systems to Discrete Dynamics
David Terman
09:45 AM - 10:30 AM
  Reliable and Unreliable Behavior in Coupled Oscillator Networks
Kevin Lin (University of Arizona)
11:00 AM - 12:00 PM
  Rhythmic Dynamics of the Nervous System
Nancy Kopell (Boston University)
01:30 PM - 02:15 PM
  The dynamic range of bursting in a network of respiratory pacemaker cells
Alla Borisyuk
02:15 PM - 03:00 PM
  A Central Pattern Generator for Insect Locomotion: Phase Response Curves, Averaging and Reduction Ionic Current Models of Bursting Neurons
Philip Holmes (Princeton University)
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