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Course Description
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Course Name
Nonlinear Dynamics
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Host University
University of Cape Town
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Location
Cape Town, South Africa
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Area of Study
Mathematics
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Language Level
Taught In English
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Course Level Recommendations
Lower
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
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Host University Units
18 -
Recommended U.S. Semester Credits3
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Recommended U.S. Quarter Units4 - 5
Hours & Credits
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Overview
The aim of this course is to introduce a selection of fundamental topics in Applied Mathematics. Topics include: fixed points, bifurcations, phase portraits, conservative and reversible systems. Index theory, Poincaré-Bendixson theorem, Lienard systems, relaxation oscillators. Hopf bifurcations, quasi periodicity and Poincaré maps, applications to oscillating chemical reactions and Josephson junctions. Chaos on a strange attractor, Lorentz map, logistic map, Hénon map, Lyapunov exponents. Fractals.
Course Disclaimer
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.