MTH 543/URI
Global Character of Difference Equations II

Course Information, Spring 2014

Text:  M. R. S. Kulenovic and O. Merino, Advanced Topics in Difference Equations (manuscript in progress)  and handouts  

Supporting literature:

 M. R. S. Kulenovic and O. Merino, Discrete Dynamical Systems and Difference Equations with Mathematica, 
Chapman&Hall/CRC Press, 2002.

 

S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos

 

Prerequisites: Graduate standing , exposure to advanced calculus and linear algebra

Exams and Grading:

Course grade will be determined based on homework (40%) and mid-term exam (30%) and final project (30%). 

The topics that will be covered are:


elements of stability theory
invariant manifolds

global attractivity results
monotone discrete dynamical systems (competitive and cooperative)

invariants

KAM theory
applications to population dynamics

 
 

Computer Requirements

The use of computer algebra systems such as MATHEMATICA, MAPLE, and Scientific Notebook is encouraged. Some computer lectures in some of these systems will be presented, and provided.  Comprehensive MATHEMATICA packages will be provided through SAKAI.

Instructor: M. Kulenovic


e-mailkulenm@math.uri.edu


Online information: www.math.uri.edu/courses or www.math.uri.edu/~kulenm

Office hours: M,W,F: 11 – 12 and by appointment. 

Time: M,W: 4:30PM - 5:45


Room:  Lippitt Hall room 201