Nonlinear Dynamics

University of Cape Town

Course Description

  • Course Name

    Nonlinear Dynamics

  • Host University

    University of Cape Town

  • Location

    Cape Town, South Africa

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • 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.

    Hours & Credits

  • Host University Units

    18
  • Recommended U.S. Semester Credits
    3
  • Recommended U.S. Quarter Units
    4 - 5
  • 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.