Mathematics 307 - Dynamical Systems and Chaos

Institution:

Colgate University

Subject:

Description:

J. Rivera, D. Schult Complicated systems of many interacting entities produce complicated behavior. Simple systems of one or two interacting entities produce simple behavior. The field of dynamical systems was born with the realization that simple systems of as few as three entities can produce incredibly complicated behavior. This behavior, known as chaos, does not repeat itself and cannot be replicated in the sense that very small changes in the initial state of the system grow to large changes later on. The key to producing this behavior is to have nonlinear terms in the equations. From Poincare's description of a three-body solar system to Lorentz's simplified weather models to Feigenbaum's discovery of a universal set of behaviors cascading from periodic to chaotic, this course investigates the intricate behavior of nonlinear systems and the techniques used to study them. Prerequisit e: MATH 21 4. Offered in the fall only, in alternate years

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.colgate.edu

Phone Number:

(315) 228-1000

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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