APMA E4101x - Introduction to Dynamical Systems

Institution:

Barnard College

Subject:

Description:

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 Therem); 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. - <.> Prerequisites: APMA E2101 (or MATH E1210) and APMA E3101 3 points

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.barnard.edu

Phone Number:

(212) 854-5262

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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