Fulbright Tour, Japan, 2005, Lecture 3
Ralph Abraham, University of California at Santa Cruz

Title: 
Patterns in Complex Dynamical Systems

Abstract:
Mathematics is the study of patterns and pattern processes, and dynamical
systems theory traditionally has provided models for pattern formation processes,
or morphogenesis. The computer revolution has produced radically new
models, generalizing those of partial differential equations, for example.
In this talk we will explore some of these new modeling strategies,
with applications to synchronization, emergence, morphogenesis.
We may touch upon -- and view graphics and animations of -- chaotic (fractal)
attractors, bifurcations, and applications to various arts and sciences.