Workshop
| Registration Deadline: | January 08, 2007 over 16 years ago |
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| To apply for Funding you must register by: | October 22, 2006 over 16 years ago |
| Parent Program: |
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Show List of Speakers
- Alla Borisyuk
- Leonid Bunimovich (Georgia Institute of Technology)
- Nikolai Chernov
- Arjen Doelman
- Dmitry Dolgopyat
- Martin Feinberg
- Martin Golubitsky
- John Guckenheimer (Cornell University)
- Philip Holmes (Princeton University)
- Brian Hunt
- vadim kaloshin (University of Maryland)
- Mark Levi
- Jerrold Marsden
- John Mather
- Konstantin Mischaikow (Rutgers University)
- Marc Moreno-Maza
- Yakov Pesin (Pennsylvania State University)
- Arkady Pikovsky
- Bjorn Sandstede
- Mary Silber
- Steve Smale (University of California, Berkeley)
- David Terman
- Edriss Titi
- Qiudong Wang
- Yuzhen Xie
- George Zaslavsky
The aim of this workshop is to promote the interaction of researchers working on pure and applied aspects dynamical systems. It will feature a group of speakers from mathematics who are responsible for some of the ma advances in the theory of dynamical systems over recent years. They will be complemented with speakers working ispecific applied areas where dynamical systems ideas are used, such as neuroscience, atmospheric sciences, fluidschemical reactions. We plan to have overview talks the aim of which is for each of these groups to introduce thework and techniques to the other, and more specialized talks that center on specific recent advances. Schedule MONDAY, January 22 Welcome 9:15 AM -10:00 AM Smale, Steve: “Dynamics of emergence and flocking” 10:30 AM -11:15 AM Golubitsky, Martin: “Bifurcations in Coupled Systems” 11:15 AM -12:00 PM Kaloshin, Vadim: “Oscillatory motions, Arnold diffusion, and nonlocal instabilities for the planar 3 body problem” 12:00 PM – 1:30 PM LUNCH 1:30 PM - 2:30 PM Mather, John: “Aspects of Arnold Diffusion” 3:00 PM - 3:45 PM Levi, Mark: “Simple examples of Arnold diffusion” TUESDAY, January 23 9:00 AM - 9:45 AM Pesin, Yakov: “Genericity of chaotic dynamics” 9:45 AM -10:30 AM Bunimovich, Leonid: “Dynamical Networks” 11:00 AM -12:00 PM Young, Lai-Sang: “Rank one attractors and weak chaos” 12:00 PM – 2:00 PM LUNCH 2:00 PM - 3:00 PM Chernov, Nikolai: “Chaotic billiards” 3:30 PM - 4:15 PM Dolgopyat, Dmitry: "Recurrence properties of finite horizon Galton board" 4:15 PM - 5:00 PM Pikovsky, Arkady: “Autonomous coupled oscillators with hyperbolic strange attractors” 5:00 PM – 6:00 PM Welcome Reception WEDNESDAY, January 24 9:00 AM - 9:45 AM Evans, Craig : “PDE methods for weak KAM theory” 9:45 AM -10:30 AM Mischaikow, Konstantin: “Computational Dynamics and Homology” 11:00 AM -12:00 PM Doelman, Arjen: “Dynamics of reaction-diffusion patterns” 12:00 PM – 2:00 PM LUNCH 2:00 PM - 3:00 PM Sandstede, Bjorn: “Dynamics of nonlinear waves” 3:30 PM - 4:15 PM Titi, Edriss: “Dynamical Systems Approach to Turbulence” 4:30 PM - 6:30 PM Short Presentations THURSDAY, January 25 9:00 AM - 9:45 AM Zaslavsky, George: “Pseudochaos” 9:45 AM -10:30 AM Hunt, Brian: “Efficient Data Assimilation for Spatially Extended Systems” 11:00 AM -12:00 PM Jones, Christopher: “Do Invariant Manifolds Hold water?” 12:00 PM – 1:45 PM LUNCH 1:45 PM - 2:30 PM Marsden, Jerrold: “Lagrangian coherent structures” 2:30 PM - 3:15 PM Terman, David: “Reducing Neuronal Systems to Discrete Dynamics” UC Colloquium FRIDAY, January 26 9:00 AM - 9:45 AM Guckenheimer, John: “Bifurcations of Relaxation Oscillations” 9:45 AM -10:30 AM Lin, Kevin: “Reliable and Unreliable Behavior in Coupled Oscillator Networks” 11:00 AM -12:00 PM Kopell, Nancy: “Rhythmic dynamics of the nervous system” 12:00 PM – 1:30 PM LUNCH 1:30 PM - 2:15 PM Borisyuk, Alla: “The dynamic range of bursting in a network of respiratory pacemaker cells” 2:15 PM - 3:00 PM Holmes, Philip: “A central pattern generator for insect locomotion: Phase response curves, averaging and reduction ionic current models of bursting neurons” Short presentations by postdocs
Wednesday, January 24, 4:30-6:30 Jorge deFreitas, University of Porto: Statistical stability for Hénon maps of the Benedicks-Carleson type Joyce Macabea, UC-Berkeley and MSRI: Quantifying and analyzing the pheromone response system for mating in yeast Mason Porter, Caltech: Nonlinearity Management in Optics Maria Leite, Purdue University: Coupled Systems of ODE's and Their Coupling Structure Nikola Popovic, Boston University: Mixed-mode oscillations and the canard phenomenon: an example Amit Apte, UNC-CH and MSRI: A Bayesian approach to data assimilation Aaron Hoffman, Boston University: Lattice Differential Equations Zoi Rapti, University of Illinois, Urbana-Champaign: Counting eigenvalues via the Evans function Abdul Kane, University of Toronto: Spatio-temporal patterns of activity in large scale neuronal networks Alice Jukes, Imperial College: Homoclinic bifurcation with symmetry Claire Postlethwaite, Northwestern University: Feedback control of patterns Vahagn Manukian, North Carolina State University: Traveling Waves of Surfactant Equations Emily Burkhead, Santa Fe Institute: A dynamical systems approach to the study of cellular automata Margaret Beck, University of Surrey and MSRI: Stability of solutions to PDEs Hamzi Boumediene, UC Davis and MSRI: Elements of the Dynamical Theory of Control Dan Wiley, Howard University and MSRI: Nonlocally Coupled Phase Oscillators Mark Demers, Fairfield University and MSRI: Stability of Statistical Properties via Lasota-Yorke Inequalities Anna Ghazaryan, University of North Carolina: Traveling Waves in Porous Media Combustion: Uniqueness of Waves of Small Thermal Diffusivity
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Show Funding
To apply for funding, you must register by the funding application deadline displayed above.
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Show Lodging
MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.
MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).
MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).
MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).
MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).
Additional lodging options may be found on our short term housing page.
Show Directions to Venue
Show Visa/Immigration
Show Schedule, Notes/Handouts & Videos
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Jan 22, 2007 Monday |
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Jan 23, 2007 Tuesday |
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Jan 24, 2007 Wednesday |
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Jan 25, 2007 Thursday |
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Jan 26, 2007 Friday |
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