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Introduction to Dynamical Systems


Course Description

Continuous dynamical systems, trajectories, periodic orbits, invariant sets, structure of alpha and omega limit sets, applications to two-dimensional autonomous systems of ODE's, Poincare-Bendixson Theorem, discrete dynamical systems, infinite dimensional spaces, semi-dynamical systems, functional differential equations.


Athena Title

DYNAMICAL SYSTEMS


Prerequisite

MATH 8740


Semester Course Offered

Offered every year.


Grading System

A - F (Traditional)


Course Objectives

Contact the instructor for specific course objectives and learning outcomes.


Topical Outline

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