Gilmore, Robert / Lefranc, Marc The Topology of Chaos Alice in Stretch and Squeezeland
1. Edition - June 2003 125.- Euro 2003. XXIII, 495 Pages, Hardcover 216 Fig. - Monograph - ISBN-10: 0-471-40816-6 ISBN-13: 978-0-471-40816-1 - Wiley-VCH, Berlin
Short description The behavior of a physical system may appear irregular or chaotic even when it is completely deterministic and predictable for short times into the future. Chaotic motion of this type occurs on a "strange attractor" in phase space. This book describes how strange attractors are classified and presents the simple algorithm for extracting this information from experimental data.
From the contents Preface.
1. Introduction.
2. Dscrete 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. Flows in Higher Dimensions.
12. Program for Dynamical Systems Theory.
Appendix A: Determining Templates from Topological Invariants.
