MATH 680: Bifurcations and Chaos

Lectures: TR 9:30-11:00am, Korman 245

Instructor: Georgi Medvedev

Office: 292 Korman Center

E-mail: medvedev@drexel.edu
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TEXTBOOK: R.L. Devaney, An Introduction to Chaotic Dynamical Systems, Westview Press, 2nd edition, 2003.

COURSE DESCRIPTION: The language and techniques from the dynamical systems theory are used in the fields as diverse as physics, economics, and biology. The goal of this course is to present several important topics from this theory in a setting that is as simple as possible. Specifically, we shall study the theory for the dynamics of iterated one-dimensional maps. The topics include structural stability, bifurcations, symbolic dynamics, and chaos. The only prerequisite for this course is a solid background in calculus.

QUESTIONS: If you are in doubt about your background or have questions about the course please email me at medvedev@drexel.edu .

Syllabus

Homework assignments