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| MA 460 - Chaotic Dynamics | |
This course introduces students to the concepts behind the modern theory of dynamical systems, particularly chaotic systems. Although the course is mathematical in nature, the emphasis is on the underpinning ideas and applications, rather than a systematic exposition of results. Topics include: standard examples and definitions, solutions of ODEs as dynamical systems, flows, and maps; fixed points of linear maps, periodic orbits, limit cycles, and asymptotic stability; rudiments of hyperbolicity; and symbolic dynamics and the Horse Shoe. Further topics may include: fundamentals of topological dynamics, fundamentals of ergodic theory, attractors, and fractals. A good part of the assigned work involves computer experimentation and computations. Prerequisites: MA 221, MA 232 Course Web Site:
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Yi Li
Associate Professor
Kidde
Room 225
Phone: 201.216.5433
Fax: 201.216.8321
yli6@stevens.edu Course Index
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