Final progress test week 8

The third and last test will be on wed 2/12; 10:00-10:30. Material: [HK] sections 7.1, 7.2, 7.3, 7.4 + lecture notes of Oleg Makarenkov (except section 3 of his notes). The emphasis  will be on the examples that were not included in the material of the last test: nonlinear expanding circle maps, 2d examples (like horseshoe and "cat map"), and interval maps (like logistic map).

Arnold "cat map" applet

http://amanuensis.co.uk/arnold.html

MSc/M4 Enhanced coursework

The enhanced coursework concerns Sharkovsky's Theorem, see problem sheet and relevant notes from [BS] section 7.3 in the left-hand side margin.

Logistic map applets

During the lectures I made use of the following applets to illustrate the behaviour of the logistic map:
http://math.la.asu.edu/~chaos/logistic.html
http://brain.cc.kogakuin.ac.jp/~kanamaru/Chaos/e/BifArea/

Problem sheets

Please note the links to problem sheets in the lhs margin. Most problems are refs to problems in [HK] and [BS].

Week 5 test

Thu 12 Nov, 9-9.30am (please be early)
Material: expanding circle maps, topological mixing and chaos.
notes [HK] 7.1.1, 7.1.3, 7.2.1, 7.2.2, 7.2.3, 7.2.5, 7.3.1, 7.3.2, 7.3.4, 7.3.5, 7.3.6, and 7.3.7. (previously I indicated also 7.4.1 and 7.4.2 but as I did not manage to treat them this week, the material there will not be part of this test).