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Dynamical Systems and Chaos - MATH3201
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Faculty: Faculty of Science
 
 
School:  School of Mathematics
 
 
Campus: Kensington Campus
 
 
Career: Undergraduate
 
 
Units of Credit: 6
 
 
Contact Hours per Week: 4
 
 
Enrolment Requirements:
 
 
Prerequisite: 12 units of credit in Level 2 Math courses including MATH2120 or MATH2130 or MATH3541 or MATH3641.
 
 
Offered: Semester 2 2005
 
 
Fee Band: 2
 
 

Description

Regular and irregular behaviour of nonlinear dynamical systems. A selection from topics developing the theory of nonlinear differential and difference equations, with applications to physical, biological and ecological systems. Topics from: stability and bifurcation theory, Floquet theory, perturbation methods, Hamiltonian dynamics, resonant oscillations, chaotic systems, Lyapunov exponents, Poincare maps, homoclinic tangles.

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