I. Invertible circle homeomorphisms: [HK] 4.3, 4.4 [BS] 7.1, 7.2 [AP] 5.2 II. Chaotic dynamical systems that are (semi-)conjugate to transitive topological Markov chains: [HK] 7.1, 7.2, 7.3, 7.4 Notes of Oleg Makarenkov Local Stable Manifold Theorem (Turaev notes) Melnikov method [GH 4.5] Homoclinic bifurcation