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This graduate level course focuses on nonlinear dynamics with applications. It takes an intuitive approach with emphasis on geometric thinking, computational and analytical methods and makes extensive use of demonstration software. This course also covers one-dimensional systems and elementary bifurcations, two-dimensional systems, phase plane analysis, limit cycles, Poincaré-Bendixson theory, Nonlinear Oscillators, qualitative and approximate asymptotic techniques, Hopf bifurcations and Lorenz and Rossler equations, chaos and fractals.

Assessment

This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.

Certification

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Course Credit: MIT

Course Curriculum

Various lecture notes for 18385 00:10:00
Bead Moving along a Thin, Rigid Wire 00:15:00
Bifurcations: Baby Normal Forms 00:20:00
Tricky Asymptotics Fixed Point Notes 00:20:00
Weakly Nonlinear Things: Oscilators 00:20:00
Hopf Bifurcations 00:10:00
Assessment
Submit Your Assignment 00:00:00
Certification 00:00:00

Course Reviews

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