MATH 574 Dynamical Systems (4 credits)

Offered by: Mathematics and Statistics (Faculty of Science)


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 2025

Instructors: Humphries, Tony (Winter)

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