Last modified: 25 May 2018 11:16
This second part of the course covers more advanced mathematical concepts required for the description of dynamical systems. It continues the study of nonlinear systems, for which typically no analytical solutions can be found; these systems are pivotal for the description of natural systems.
Emphasis will be on the study of higher dimensional and chaotic systems. This second part of the course introduces stability criteria for more complex systems and outlines several key results that govern the behaviour of nonlinear dynamical system, such as requirements for chaotic behaviour and recurrence properties.
|Session||Second Sub Session||Credit Points||15 credits (7.5 ECTS credits)|
This course covers advanced mathematical concepts required for the description of dynamical systems, ie., systems that change in time. It discusses nonlinear systems, for which typically no analytical solutions can be found; these systems are pivotal for the description of natural systems in physics, engineering, biology etc. Some emphasis will be on the study of chaotic systems and strange, ie., fractal attractors.
Next to the theory of relativity and quantum mechanics, chaos and dynamical systems theory has been considered as one of three major advances in the natural sciences. This course covers the mathematics behind this paradigm changing theory.
This is the total time spent in lectures, tutorials and other class teaching.
1st Attempt: 1 two-hour written examination (70%); 1 one-hour midterm exam (30%).
Resit: Written Exam (100%).
Only the marks obtained at the first attempt can count towards Honours classification.
By weekly tutorials and dialogue with lecturer.
Within two weeks of midterm exam.