Spring 2023 Applied Mathematics E4101 section 001

APPL MATH III:DYNAMICAL SYSTMS

APPL MATH III:DYNAMICAL S

Call Number 13116
Day & Time
Location
MW 8:40am-9:55am
833 Seeley W. Mudd Building
Points 3
Grading Mode Standard
Approvals Required None
Instructor Amir Sagiv
Type LECTURE
Method of Instruction In-Person
Course 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.

Web Site Vergil
Department Applied Physics and Applied Mathematics
Enrollment 73 students (86 max) as of 8:44PM Wednesday, February 28, 2024
Subject Applied Mathematics
Number E4101
Section 001
Division School of Engineering and Applied Science: Graduate
Open To Columbia College, Engineering:Undergraduate, Engineering:Graduate, GSAS, General Studies
Campus Morningside
Note EARLY REGISTRATION FOR APAM ONLY, OTHER DEPTS JAN 10TH
Section key 20231APMA4101E001