MATH401-12S1 (C) Semester One 2012

Dynamical Systems 1

15 points

Details:
Start Date: Monday, 20 February 2012
End Date: Sunday, 24 June 2012
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Friday, 2 March 2012
  • Without academic penalty (including no fee refund): Friday, 18 May 2012

Description

Dynamical Systems 1

Dynamical systems is a rapidly developing branch of Mathematics with growing applications in diverse fields from traditional areas of applied mathematics to numerical analysis, biological systems, economic models 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. Both main types of dynamical system 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.

Prerequisites

Subject to approval of the Head of School.

Course Coordinator

Michael Plank

Assessment

Assessment Due Date Percentage 
Internal Assessment - TBA 40%
Final Examination 60%

Indicative Fees

Domestic fee $788.00

* 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 .

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