MATH401-17S1 (C) Semester One 2017

Dynamical Systems 1

15 points

Details:
Start Date: Monday, 20 February 2017
End Date: Sunday, 25 June 2017
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 3 March 2017
  • Without academic penalty (including no fee refund): Friday, 19 May 2017

Description

Dynamical Systems 1

Dynamical systems is a rapidly developing branch of mathematics in diverse fields including numerical analysis, biological systems, economic models and medicine.

It is often difficult or impossible to write down an exact solution to systems of non-linear 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 systems will be studied: discrete systems, consisting of an iterated map; and continuous systems, consisting of nonlinear differential equations.

Topics covered will include: chaotic behaviour of simple 1D maps; period-doubling bifurcations; phase portrait analysis; methods for determining stability of fixed points and limit cycles; centre manifolds; and symbolic dynamics.

This course is independent of Math363 Dynamical systems, although previous enrolment there is desirable.


For a full list of Honours courses, please refer to the School of Mathematics and Statistics Honours Booklet Mathematics and Statistics Honours Booklet

Prerequisites

Subject to approval of the Head of School.

Course Coordinator

Rua Murray

Indicative Fees

Domestic fee $932.00

* 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 .

All MATH401 Occurrences

  • MATH401-17S1 (C) Semester One 2017
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