Cognitive Science | Inroduction to Dynamical Systems in Cognitive Science
Q580 | 25243 | R. Beer


Q580 ,  25243 , Beer
TuTh, 1:00-2:15pm, Room: TBA

Introduction to Dynamical Systems in Cognitive Science Q580 Randall
Beer

Concepts from dynamical systems theory are becoming increasingly
important in cognitive science, and the construction and evaluation
of dynamical models requires a thorough understanding of the
mathematical theory of dynamical systems in the same way that
computational models in cognitive science require a thorough
understanding of computation. This course provides such an
introduction to dynamical systems theory, with an emphasis on the
underlying
mathematical ideas and tools.  Although we will focus on dynamical
systems
formed by sets of differential equations, we will also cover
discrete- time dynamical systems at several key points. The course
will begin with a comprehensive study of one and two-dimensional
systems and then proceed to the general case. At each step, we will
examine the limit sets, stabilities, phase portraits and bifurcations
that are characteristic of that dimension.   Throughout the course,
applications
drawn from a wide variety of areas will be used to illustrate the
mathematics. We will also make heavy use of computer tools for
analysis and visualization.