Overview

Mathematics & Statistics (Sci) : Dynamical systems, phase space, limit sets. Review of linear systems. Stability. Liapunov functions. Stable manifold and Hartman-Grobman theorems. Local bifurcations, Hopf bifurcations, global bifurcations. Poincare Sections. Quadratic maps: chaos, symbolic dynamics, topological conjugacy. Sarkovskii's theorem, periodic doubling route to chaos. Smale Horseshoe.

Terms: This course is not scheduled for the 2012-2013 academic year.

Instructors: There are no professors associated with this course for the 2012-2013 academic year.

• Winter
• Prerequisites: MATH 325 and MATH 354 or permission of the instructor.