This unit builds on the ideas of MATH3327 3A7: Chaos and Dynamical Systems. It delves deeper into the meaning of chaos and the implications it has for modelling reality. Topics that may be included are (1) probabilistic properties of deterministic systems; (2) chaos is not randomness, but probability theory can be applied and provide some useful characterisations of chaos; (3) structural stability—under what conditions will a model of a system have essentially the same dynamics as the system, taking into account the model will have some error?; (4) shadowing—how do you find the 'true' trajectory when given only noisy observations?; (5) embedding—if you only knew a system has a finite... -- Course Website
Instructor: Assistant Professor Thomas Stemler
Prerequisites: MATH2209 Calculus and Probability and MATH2020 Multivariable Calculus and Linear Algebra
