The Topology of Chaos Alice in Stretch and

Suitable at the present time for analyzing "strange attractors" that can be embedded in three-dimensional spaces, this groundbreaking approach offers researchers and practitioners in the discipline a complete and satisfying resolution to the fundamental questions of chaotic systems.

ROBERT GILMORE, PhD, is a professor in the Physics Department of Drexel University, Philadelphia, Pennsylvania. <p> EFRANC, PhD, is a researcher at the Centre National de la Recherche Scientifique in the Laboratoire de Physique des Lasers, Atomes, MolTcules at the UniversitT des Sciences et Technologies de Lille, France.

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.

References.

Topic Index.

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The Topology of Chaos Alice in Stretch and Squeezeland

Summary

Author Biography

Table of Contents

Supplemental Materials