Dynamical Systems and Chaos - MATH3201
Faculty: Faculty of Science
School: School of Mathematics and Statistics
Course Outline: http://www.maths.unsw.edu.au/
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
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Description
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.