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Introduction to Dynamical Systems
APMA E4101x
Credits:3 pts. Lect: 3.
An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Theorem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications.
Course Sections
Section Number:
001
Call Number:
26899
Course Number:
4101
Section Title:
APPL MATH III:DYNAMICAL
Day/Time:
TuTh 9:10a - 10:25a
833 Seeley W. Mudd Building
Course Bulletin: http://www.columbia.edu/cu/bulletin/uwb/subj/APMA/E4101-20083-001
Instructor: M. Weinstein
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