Spring 2025 Applied Mathematics E4101 section V01

APPL MATH III:DYNAMICAL SYSTMS

APPL MATH III;DYNAMICAL SYSTMS

Call Number 17991
Points 3
Grading Mode Standard
Approvals Required None
Instructor Xuenan Li
Type LECTURE
Method of Instruction On-Line Only
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 Video Network
Enrollment 2 students (99 max) as of 4:05PM Saturday, December 21, 2024
Subject Applied Mathematics
Number E4101
Section V01
Division School of Engineering and Applied Science: Graduate
Open To Columbia Video Network
Fee $395 CVN Course Fee
Note VIDEO NETWORK STUDENTS ONLY
Section key 20251APMA4101EV01