PHYS 480 - Chaos

Institution:

Duquesne University

Subject:

PHYS - Physics

Description:

This course provides an introduction to the theory and applications of chaos. The topics presented may include: characterizations of dynamical systems and of maps and flows; senstivity to initial conditions; studies of one-dimensional maps including fixed points, periodic orbits, bifurcation theory, the period-doubling cascade to chaos, universal scaling laws and the Feigenbaum constants; the Schwarzian derivative and the critical orbit; and the Newton Fixed Point Theorem. Then, the last part of the course is devoted to fractals, Julia Sets, and the Mandelbrot Set. If time permits we may study the Lyapunov exponents and the Lorenz attractor. Students taking this course are strongly urged to take 480L. Lecture (three hours). Prerequisite: MATH 115. Even spring.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.duq.edu

Phone Number:

(412) 396-6000

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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