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TMA4165

Differential Equations and Dynamical Systems

Choose study year
Credits 7.5
Level Third-year courses, level III
Course start Spring 2012
Duration 1 semester
Examination arrangement Written examination

About

About the course

Course content

Linear systems in general. The exponential map. The phase plane. Phase diagrams for linear systems. Existence and uniqueness. Iteration techniques. Discrete dynamical systems. Fractals. Equilibrium points. Limit cycles. The Poincare-Bendixson theorem. Index theory. Attractors. Chaos. Symbolic dynamics. Duffings's and van der Pol's equations. Examples related to applications.

Learning outcome

To give the students an introduction to analytic and geometric methods for ordinary differential equations and dynamical systems.

Learning methods and activities

Lectures and exercises. Retake of examination may be given as an oral examination.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From
SIF5025 7.5 sp
This course has academic overlap with the course in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Mathematics
  • Technological subjects

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences