|MATH 574 - Dynamical Systems.|
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.
4.000 Credit hours
Schedule Types: Lecture, Final Exam
Faculty of Science
Mathematics and Statistics Department
May not be enrolled in one of the following Faculties:
Faculty of Dentistry
Faculty of Medicine
School of Continuing Studies
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