Alice in Stretch and Squeezeland
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Köp båda 2 för 2084 krOn the first edition "A short review can only hint at the wealth of ideas here...highly recommended." (Choice, Vol. 40, No. 7, March 2003) "In this third book Gilmore and Lefranc step one more rung up the ladder of dynamical complexity..." (American Journal of Physics, Vol. 71, No. 5, May 2003) "This authoritative monograph advances innovative methods for the analysis of chaotic systems." (Journal of Mathematical Psychology, Vol. 47, 2003)
ROBERT GILMORE, PhD, is a professor in the Physics Department of Drexel University, Philadelphia, Pennsylvania. MARC LEFRANC, PhD, is a researcher at the Centre National de la Recherche Scientifique in the Laboratoire de Physique des Lasers, Atomes, Molecules at the Universite des Sciences et Technologies de Lille, France. The authors are internationally recognized leaders in the field who have been developing these techniques for about two decades. As active members in the community they are knowledgeable about the broader context of their book's subject.
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