Mathematics 39 - Chaos and Structural Stability in One-Dimensional Dynamics

Institution:

CUNY Brooklyn College

Subject:

Description:

3 hours lecture, 2 hours laboratory; 4 credits Computer and thought experiments will be used to illustrate concepts from one-dimensional dynamical systems. Lectures will focus on theoretical concepts explaining the phenomena illustrated in the laboratory assignments. Topics include structural stability, chaos, symbolic dynamics, kneading sequences for folding maps, bifurcation in parameter spaces, periodic points and the Sarkovskii ordering. Cantor sets, and fractional dimension. (Not open to students who completed Mathematics 30 in fall 1990.) Prerequisite: Mathematics 4.3.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Multiple

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.brooklyn.cuny.edu

Phone Number:

(718) 951-5000

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

The Course Profile information is provided and updated by third parties including the respective institutions. While the institutions are able to update their information at any time, the information is not independently validated, and no party associated with this website can accept responsibility for its accuracy.