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Unformatted text preview: Syllabus – Nonlinear Dynamic Systems Instructor Prof. Brian P. Mann 224 MAE Building B (352)392-4550 [email protected] Course Time: MWF 11:45AM-12:35PM Office/Lab Hours: MF 12:35PM–1:40PM Course Description This course will discuss state space and geometric theory of nonlinear ordinary differential equa- tions, perturbation and other analytical methods; the use of local linear approximation, attractor dimension and Lyapunov exponents, Floquet theory, bifurcations and center manifold theory, and experimental methods. These concepts will be reinforced with a number of examples from recently published research, including nonlinear machining dynamics and biological systems. Reading for the course will be taken from the course text and recent literature. Course projects will encourage students to investigate nonlinear behavior that relates to their particular interests. Course Materials Recommend texts: 1) Applied Nonlinear Dynamics, A. Nayfeh, B. Balachandran, John Wiley & Sons, Inc., New York, NY, ISBN 0-471-59348-6; or 2) Nonlinear Ordinary Differential Equations: An Introduction to Dynamical Systems, Jordan & Smith, ISBN 0198565623. Web Site: http://plaza.ufl.edu/bmann Evaluation Exam: 40% TBA Course Project: 20% TBA Homework: 40% TBA Homework & Exams • Homework assignments are due at the beginning of class. No credit will be given for late homework unless an extension is granted prior to the submission date. • No late homeworks. • Collaboration on homework problems is strongly encouraged, but each person should submit his/her own work....
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- Spring '08
- 1946, Dynamical systems, Nonlinear Dynamic Systems