|Dynamical Systems. - 24588 - MATH 574 - 001|
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.
Taught in alternate years
Prerequisites: MATH 325 and MATH 354 or permission of the instructor.
Associated Term: Fall 2017
Registration Dates: Apr 04, 2017 to Sep 19, 2017
Lecture Schedule Type
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