35438 Nonlinear Dynamical Systems

6cp; 3hpw
Requisite(s): 35231 Differential Equations AND 35321 Analysis 1

This subject aims to introduce basic ideas in the qualitative theory of solutions of ordinary differential equations. The features of both two-dimensional and higher dimensional systems are considered. The theory is developed to the stage where basic ideas about limit cycles, strange attractors, chaos and bifurcations can be presented.

Topics in this subject include: review of linear systems; nonlinear systems; phase plane analysis; linearisation; local stability and instability; global asymptotic stability; stable and unstable manifolds; limit cycles and strange attractors; introduction to chaos theory; asymptotic methods; the methods of Poincaré and Lindstedt; the method of averaging; and applications to the theory of finance.

Typical availability

Autumn semester, City campus

Fee information

2006 contribution for 2005/06 commencing Commonwealth-supported undergraduate students: $872.38
2006 amount for undergraduate domestic fee-paying students: $2,190.00
Subject EFTSL: 0.125
Note: The above fees are applicable in 2006 for 2005/06 commencing Commonwealth-supported and domestic fee-paying undergraduate students only. Pre-2005 Commonwealth-supported undergraduate students should consult the Student contribution charges for Commonwealth supported students webpage.
Not all students are eligible for Commonwealth supported places, and not all subjects are available to Commonwealth supported students. Other students (such as postgraduate students and international students) should refer to the Fees webpage.

Access conditions

Note: The requisite information presented in this subject description covers only academic requisites. Full details of all enforced rules, covering both academic and admission requisites, are available at Access conditions and My Student Admin.