MATH 558
CLN 17533 , MWF 1:00 -2:30, TBA

Applied Non-linear Dynamics

(Prerequisites: MATH 450 or 451)

Instructor:

Dr. Patrick Nelson
East Hall 5860
tel: 763-3408
fax: 763-0937
pwn@umich.edu
office hours: Wednesday, 9:30 - 10:30; Thursday, 2:30-3:30

Homework Grades Message Board
Course description Textbook Syllabus Schedule

Course Description

The course is an introduction to dynamical systems (differential equations and iterated maps). The aim is to survey a broad range of topics in the theory of dynamical systems with the emphasis on techniques and results that are useful in applications. Chaos will be discussed and there will be numerous computing assignments to go along with the material.

Textbook

  1. A First Course in the Qualitative Theory of Differential Equations , James H. Liu Prentice-Hall,

Mathematical Concepts to be covered

  1. Stability
  2. Bifurcation
  3. Chaos
  4. Periodic Solutions
  5. Delay Differential Equations
  6. Poincare' Bendixson Theory
  7. Center Manifold Theory
  8. Liapunov Functions
  9. Scientific Computing

Homeworks

.ps format.pdf format
Homework 1651Hmwk1.ps

Grading

Homework assignments will count as 1/3 of grade evaluation. There will also be two quizzes and each will count for 1/3 of the grade.

<pwn@math.lsa.umich.edu> Sun Nov 4 15:51:40 2001