Math 6100 Dynamical systems

Description

This course is an introduction to the theory of dynamical systems. The contents include the basic theorems on the existence and
uniqueness, continuous dependence of solutions, and the variational equation; equilibria in nonlinear systems, stability, and
bifurcations; global nonlinear techniques; closed orbits and limit sets, the Poincare map, the Poincare-Bendixson theorem
and its applications.

Prerequisites

Ordinary differential equations and linear algebra at the undergraduate level.

Textbook

  • M. W. Hirsch, S. Smale and R. L., Devaney, Differential Equations, Dynamical Systems, and An Introduction to Chaos, Elsevier, Academic Press, 2004.

Contact

Mathematics and Statistics

230 Elizabeth Ave, St. John's, NL, CANADA, A1B 3X9

Postal Address: P.O. Box 4200, St. John's, NL, CANADA, A1C 5S7

Tel: (709) 864-8000