COGS-Q 580 INTRODUCTION TO DYNAMIC SYSTEMS IN COGNITIVE SCIENCE (3 CR.)
Introduction to linear and nonlinear dynamic systems, including catastrophe and chaos theory. Three main aspects are: 1. Understanding the basic quantitative theory and techniques of dynamic system; 2. Illustration of major concepts and systems behavior with the aid of computer graphics and numerical software; 3. Examples from cognitive science.
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|LEC||3||34010||Open||1:10 p.m.–2:25 p.m.||TR||WB WEB||Beer R
Regular Academic Session / Distance Synchronous Video
LEC 34010: Total Seats: 20 / Available: 1 / Waitlisted: 0Show Details for section 34010
- Above class open to graduates only
- Above class meets 100% Online through Synchronous instruction. For more information visit https://fall2020.iu.edu/learning-modes/
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.