The aim of this workshop is to bring together researchers in the theory and application of nonlinear oscillations.
Computer simulations are a useful intermediary between theory and application, and they played an essential role in the project of Fermi-Pasta-Ulam in the 1950's which investigated nonlinear oscillations of particles arranged in a one-dimensional lattice. This led to major developments in the theory of solitons and integrable systems, and in the field of experimental mathematics, and these are important areas of research today. In the workshop, the FPU experiment and some of these developments will be reviewed, using the software 3D-XplorMath.
On the other hand, nonlinear oscillations arise in many
areas of science, in particular in models for the human brain. A current challenge
of neuroscience is to understand how "coherent patterns" appear in
such systems. Work in this direction will also be presented at the workshop.
Friday 13 April 2012
10:00-10:15 Robert Sinclair (OIST): Opening Remarks
10:15-11:15 Yoko Yamaguchi (RIKEN): "Computation of the mind as nonlinear oscillation dynamics in the human brain"
11:30-12:30 Takashi Sakai (TMU) "Visualization with 3D-XplorMath", Martin Guest (TMU): "Visualization for nonlinear oscillations"
14:00-15:00 Yuichi Katori (Tokyo University): "Quantitative Modeling of Inferior Olive Neurons with a Simple Conductance-Based Model"
16:30-17:30 Robert Sinclair (OIST): "Imperfection at the Cutting Edge"
Organizing committee: Martin Guest (Tokyo Metropolitan University), Takashi Sakai (Tokyo Metropolitan University)
Laboratory for Dynamics of Emergent Intelligence
Laboratories for Mathematics, Lifesciences, and Informatics