Dynamical Systems and Chaos - MATH3201

Faculty: Faculty of Science

School: School of Mathematics and Statistics

Course Outline:

Campus: Sydney

Career: Undergraduate

Units of Credit: 6

EFTSL: 0.12500 (more info)

Indicative Contact Hours per Week: 4

Enrolment Requirements:

Prerequisite: 12 units of credit in Level 2 Mathematics courses including (MATH2120 or MATH2130 or MATH2121 or MATH2221) and (MATH2501 or MATH2601), or (both MATH2019 (DN) and MATH2089), or (both MATH2069 (CR) and MATH2099)

CSS Contribution Charge: 2 (more info)

Tuition Fee: See Tuition Fee Schedule

Further Information: See Class Timetable

View course information for previous years.


A dynamical system is any system whose state changes as a function of time. This course studies the regular and irregular behaviour of nonlinear dynamical systems, concentrating on ordinary differential equations (ODEs) and their solutions.

Topics from the theory of ODEs include: existence and uniqueness theorems; linear ODEs with constant and periodic coefficients and Floquet theory; linearization and stability analysis; perturbation methods; bifurcation theory; phase plane analysis for autonomous systems. The theory is illustrated with applications to physical, biological and ecological systems.

In addition, a selection from the dynamical concepts: Hamiltonian dynamics, resonant oscillations, chaotic systems, Lyapunov exponents, Poincare maps, homoclinic tangles.
Students on quad lawn

Study Levels

UNSW Quick Links