The course is an introduction to nonlinear dynamics and chaos theory and the effect that this field has had on a wide range of applications such as driven or coupled pendula and the earth revolving around the sun. The main focus is on geometric and numerical (computational) techniques for analyzing systems backed by some rigorous analytical manipulations. Of particular interest are qualitative changes of the dynamics as parameters are changed, which allows you to describe ways that a system can become chaotic.
More specifically, the course describes/elaborates the phenomena where complicated behavior occurs in simple systems and it provides straightforward mathematical tools to analyze simple nonlinear systems. A range of numerical techniques are used to investigate more complicated systems arising from real-world problems- Lecturer: Bob Senyange
- Teacher: Bob Senyange
- Teacher: Bob Senyange
The course equips students with methods of
empirical inquiry and research in the Mathematics and Mathematical
sciences.
- Teacher: Bob Senyange