Module code: MTH6107
Credits: 15.0
Semester: SEM1
Contact: Prof Oliver Jenkinson
Prerequisite: Before taking this module you must ( take MTH4101 or take MTH4201 or take MTH4300 or take MTH4400 ) and ( take MTH4115 or take MTH4215 )
The main aims are twofold: to illustrate (rigorously) how simple deterministic dynamical systems are capable of extremely complicated or chaotic behaviour; to make contact with real systems by considering a number of physically motivated examples and defining some of the tools employed to study chaotic systems in practice. Discrete and continuous dynamical systems, repellers and attractors, Cantor sets, symbolic dynamics, topological conjugacy for maps, definition of chaos. Fractals, iterated function systems, Julia sets.
Connected course(s): UDF DATA
Assessment: 100.0% Examination
Level: 6
