MATH4431: Nonlinear Dynamics

A.M.Rucklidge at leeds.ac.uk

Department of Applied Mathematics, Room 8.19g
University of Leeds
Leeds LS2 9JT, UK
0113 343 5161

The aim of this course is to develop the theory of bifurcations in dissipative nonlinear systems, treating both local and global bifurcations, and exploring the role of global bifurcations in the transition to chaos. Several examples will be discussed. As well as being relevant to fluid dynamical experimental situations, the theory has important applications in many fields, including biology, chemistry, astrophysics and geophysics.

Familiarity with nonlinear ordinary differential equations (for example, at the level of the Level 2 and 3 modules `Dynamical Systems' and `Applied Dynamical Systems') will be an advantage, though the first part of the course will provide a brief review of the necessary introductory material. NB: the name of the Level 2 course has now changed to `Nonlinear Differential Equations'. There is a new Level 3 course, `Dynamical Systems', which may be taken at the same time as this course.

The course is aimed at those interested in nonlinear dynamics and dynamical systems. It is also open to new and continuing graduate students in the mathematics and physics departments.

There will be 27 lectures and 6 examples classes. The assessment will be based on a 2 hour written examination (80%) and course work/computational project (20%).


Schedule: Office hours: after lectures or by appointment.


Handouts: You may have to do `Save link as...' to download the Maple worksheets.

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