Use the Tab and Up, Down arrow keys to select menu items.
Dynamical systems sits at the interface of pure and applied mathematics, containing some beautiful theory, as well as applications in diverse fields including numerical analysis, biological systems, economics and medicine.It is often difficult or impossible to write down an exact solution to systems of nonlinear equations. The emphasis in this course will be on qualitative techniques for classifying the behaviour of nonlinear systems, without necessarily solving them exactly. Two main types of dynamical systemswill be studied: discrete systems, consisting of an iterated map; and continuous systems, consisting of nonlinear differential equations.Topics covered will include: bifurcations and chaotic behaviour of interval maps; symbolic dynamics; topological model of chaos; mass transport and probabilistic dynamics; phase portrait analysis (Hartman-Grobman theorem, hyperbolicity of limit cycles, invariant manifolds, global bifurcations); centre manifolds.This course is independent of MATH363 Dynamical Systems, although previous enrolment there is desirable.
Subject to approval of the Head of School.
School of Mathematics and Statistics Postgraduate Handbook
General information for students
Domestic fee $1,000.00
International Postgraduate fees
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see
Mathematics and Statistics