The Topology of Chaos: Alice in Stretch and Squeezeland

Preface 1. Introduction 2. Discrete Dynamical Systems: Maps 3. Continuous Dynamical Systems: Flows 4. Topological Invariants 5. Branched Manifolds 6. Topological Analysis Program 7. Folding Mechanisms: A2 8. Tearing Mechanisms: A3 9. Unfoldings 10. Symmetry 11. Bounding Tori 12. Representation Theory for Strange Attractors 13. Flows in Higher Dimensions 14. Program for Dynamical System Theory Appendix A: Determining Templates from Topological Invariants Appendix B: Embeddings References