**Contemporary Mathematics**

Volume: 246;
1999;
252 pp;
Softcover

MSC: Primary 58;
Secondary 54; 55

Print ISBN: 978-0-8218-1958-6

Product Code: CONM/246

List Price: $72.00

Individual Member Price: $57.60

**Electronic ISBN: 978-0-8218-7836-1
Product Code: CONM/246.E**

List Price: $72.00

Individual Member Price: $57.60

# Geometry and Topology in Dynamics

Share this page *Edited by *
*Marcy Barge; Krystyna Kuperberg*

This volume consists of the written presentations of lectures given at two special sessions: the AMS Special Session on Topology in Dynamics (Winston-Salem, NC) and the AMS-AWM Special Session on Geometry in Dynamics (San Antonio, TX). Each article concerns aspects of the topology or geometry of dynamical systems. Topics covered include the following: foliations and laminations, iterated function systems, the three-body problem, isotopy stability, homoclinic tangles, fractal dimension, Morse homology, knotted orbits, inverse limits, contact structures, Grassmanians, blowups, and continua.

New results are presented reflecting current trends in topological aspects of dynamical systems. The book offers a wide variety of topics of special interest to those working this area bridging topology and dynamical systems.

#### Table of Contents

# Table of Contents

## Geometry and Topology in Dynamics

- Contents vii8 free
- Preface ix10 free
- Homeomorphisms of one-dimensional inverse limits with applications to substitution tilings, unstable manifolds, and tent maps 112 free
- Isotopy stability of dynamics on surfaces 1728
- Homeomorphic restrictions of unimodal maps 4758
- Flows on solenoids are generically not almost periodic 5768
- Dynamics forced by surface trellises 6576
- The Hausdorff dimension of the boundary of the Lévy dragon 8798
- Stratified integrals and unknots in inviscid flows 99110
- Periodic orbits in magnetic fields in dimensions greater than two 113124
- A new class of positive recurrent functions 123134
- Symmetric products and Q–manifolds 137148
- Symbolic dynamics of the collinear three-body problem 143154
- Grassmannians, nonlinear wave equations and generalized Schur functions 163174
- The similarity boundary of a self-similar set 175186
- Homotopy classes of maps between Knaster continua 189200
- Equivalences for Morse homology 197208
- More monotone open homogeneous locally connected plane continua 217228
- Blowup and fixed points 239250

#### Readership

Graduate students and research mathematicians interested in analysis; physicists.Graduate students and research mathematicians interested in analysis; physicists.