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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: Winter 2011
Instructors: Haller, George (Winter)
- Winter
- Prerequisites: MATH 325 and MATH 354 or permission of the instructor.