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US-Japan workshop on Dynamics and Computations

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US-Japan workshop on Dynamics and Computations

at Shonan International Center March 8-12, 2004

Program Mon, March 8

9:00-9:50 Konstantin Mischaikow(Georgia Tech., USA) Computational homology

10:20-11:10 Hisashi Okamoto (Kyoto University, Japan) Crapper’s waves and the Benjamin-Ono equation

11:20-11:50 Tomas Gedeon (Montana State University, USA) Convergence of map finding circuits

13:10-13:40 PaweÃl Pilarczyk (Jagiellonian University, Poland)

Cubical approach to the computation of the homology of continuous maps 13:50-14:20 Takashi Sakajo (Hokkaido University, Japan)

Transition of global dynamics of a vortex ring on a sphere 14:30-15:00 Yasuaki Hiraoka (Osaka University, Japan)

Rigorous numerics for global dynamics in gradient systems Tue, March 9

9:00-9:50 Luca Dieci(Georgia Tech. (USA) , IAC-CNR, Florence (Italy)) Approximation of Lyapunov exponents and Sacker–Sell spectra 10:20-11:10 Genta Kawahara (Kyoto University, Japan)

Unstable periodic motion in minimal plane Couette turbulence 11:20-11:50 Marian Mrozek (Jagiellonian University, Poland)

The method of topological sections in rigorous numerics of dynamical systems 13:10-14:00 Thomas Wanner (George Mason University, USA)

Stochastic Cahn-Hilliard dynamics

16:30-17:00 Motomasa Komuro (Teikyo University of Science and Technology, Japan) A mechanism of chaotic itinerancy in globally coupled maps

17:15-17:45 Masaharu Nagayama (Kyoto University, Japan) A theoretical study on the motion of a camphor disk 19:30-21:30 Poster session

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Wed, March 10

9:00-9:50 Stefano Luzzatto (Imperial College, UK)

Computational, geometric and probabilistic methods for the Lorenz equations 10:20-11:10 Eiji Yanagida (Tohoku University, Japan)

Non-convergent solutions for a supercritical semilinear parabolic equation 11:20-11:50 Jan Bouwe van den Berg (Vrije Universiteit, Netherlands)

Braids and their Conley index Thu, March 11

9:00-9:50 Ichiro Tsuda(Hokkaido University, Japan) On the nature of cortical transitory dynamics

10:20-11:10 Bill Kalies (Florida Atlantic University, USA) Polygonal approximation of flows

11:20-11:50 Sarah Day (Vrije Universiteit, Netherlands)

Rigorous numerical methods based on the Conley index: a finite-dimensional example 13:10-14:00 Oliver Junge (University of Paderborn, Germany)

Rigorous numerical methods for infinite-dimensional discrete dynamical systems 16:30-17:00 Yutaka Ishii (Kyusyu University, Japan)

Holomorphic dynamics and interval arithmetic 17:15-17:45 Zin Arai (Kyoto University, Japan)

Rigorous computation of homoclinic tangencies Fri, March 12

9:00-9:30 Angela Stevens (Max-Planck Institute for Mathematics in the Sciences, Germany) Structure and function:Interacting cell systems

9:40-10:10 Shunsaku Nii (Kyusyu University, Japan) Infinite-dimensional Evans function theorem

10:40-11:30 Bj¨orn Sandstede (Ohio State University, USA) Dynamics of coherent structures in oscillatory media

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