Entry requirements

120 credits including Several Variable Calculus, Linear Algebra II and Ordinary Differential Equations I. Proficiency in English equivalent to the Swedish upper secondary course English 6.

Learning outcomes

On completion of the course, the student should be able to:

• demonstrate a thorough knowledge of hyperbolicy, stable manifolds, homoclinic phenomena, structural stability, and symbolic dynamics;
• outline the construction of some ordinary strange attractors;
• carry out numerical studies of dynamical systems;
• outline some ordinary applications of the theory.

Content

Flows and Poincaré maps. Structural stability. Symbolic dynamics. Conjugation. Bifurcation theory. Stable and unstable manifolds. Homoclinic phenomena. Hyperbolicy. Chaos and sensitive dependence on initial data. Strange attractors. Numerical methods. Applications.

Instruction

Lectures and problem solving sessions.

Assessment

Oral examination.

If there are special reasons for doing so, an examiner may make an exception from the method of assessment indicated and allow a student to be assessed by another method. An example of special reasons might be a certificate regarding special pedagogical support from the disability coordinator of the university.

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