TOPOLOGY AND DYNAMICS
Credit points: 15
We commence with some ideas of very general application in point set topology that lead to proofs of the Alexander lemma and Tychonoff's theorem. These ideas underpin an exploration of the theory of topological dynamics, where we study the behaviour of dynamical systems using topological concepts. We focus on the way in which open sets evolve dynamically and other concepts underlying the definition of chaos. Particular emphasis will be given to symbolic dynamics.
SchoolSchool Engineering&Mathematical Sciences
Subject Co-ordinatorYuri Nikolayevsky
Available to Study Abroad StudentsYes
Subject year levelYear Level 4 - UG/Hons/1st Yr PG
Prerequisites Requires co-ordinators approval
Special conditions This subject will only be available subject to sufficient enrolments.
Graduate capabilities & intended learning outcomes
Select to view your study options…
Melbourne, 2015, Semester 2, Day
Maximum enrolment sizeN/A
Subject Instance Co-ordinatorYuri Nikolayevsky
Two 1.0 hours seminar per week on weekdays during the day from week 31 to week 43 and delivered via face-to-face.
"Requiring extensive preparation for class presentations"
|a project equivalent to 2,700-words||60||01|