How to prepare for the class test of 25 Oct

The test will concern the following material:

Class notes of 11, 14 and 18 October concerning topological dynamics (pages 7 -21; so NOT the material from page 21 of the class notes about attractors, topological conjugacy and symbolic dynamics)

• definition of chaos (following Devaney): density of periodic orbits, topological transitivity, sensitive dependence - concepts and applications to simple examples;
• observation that sensitive dependence follows from density of periodic orbits and topological transitivity if the state space is not a periodic orbit 
• topological mixing and relationships to other topological dynamical properties
• invariant sets and $\omega$-limit sets: properties 
• Problem sheet #1: questions 1, 2, 3, 7, 8, 9

Relevant lecture notes (see Blackboard):

• [HK] chap 7; section 7.1 (not prop 7.1.5 and lem 7.1.6; not sections 7.1.4 and 7.1.5); section 7.2 (not sections 7.2.1 and 7.2.4)
• [MR] Dynamical systems lecture notes 2017: chapter 3 sections 1 and 2

The aim of the test is to get an impression of understanding, not whether you know the notes by heart. Please keep this in mind...