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Phase Plane Portrait for the Dipole Fixed Point System for n = 1. (Image by Prof. Rosales adapted from the lecture notes)
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Highlights of this Course
This graduate level course on Nonlinear Dynamics features lecture notes, problem sets, exams, and related resources.
Course Description
Nonlinear dynamics with applications. Intuitive approach with emphasis on geometric thinking, computational and analytical methods. Extensive use of demonstration software. Topics: Bifurcations. Phase plane. Nonlinear coupled oscillators in biology and physics. Perturbation, averaging theory. Parametric resonances, Floquet theory. Relaxation oscillations. Hysterises. Phase locking. Chaos: Lorenz model, iterated mappings, period doubling, renormalization. Fractals. Hamiltonian systems, area preserving maps; KAM theory.
Technical Requirements
MATLAB® software is required to run the .m files found on this course site.
MATLAB® is a trademark of The MathWorks, Inc.
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| Staff |
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Instructor:
Prof. Rodolfo R. Rosales
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| Course Meeting Times |
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Lectures:
Two sessions / week
1.5 hours / session
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| Level |
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Graduate
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