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9780821819586

Geometry and Topology in Dynamics

by ; ;
  • ISBN13:

    9780821819586

  • ISBN10:

    0821819585

  • Format: Paperback
  • Copyright: 1999-11-01
  • Publisher: Amer Mathematical Society

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Supplemental Materials

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Summary

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

Homeomorphisms of one-dimensional inverse limits with applications to substitution tilings, unstable manifolds, and tent maps
Isotopy stability of dynamics on surfaces
Homeomorphic restrictions of unimodal maps
Flows on solenoids are generically not almost periodic
Dynamics forced by surface trellises
The Hausdorff dimension of the boundary of the Levy dragon
Stratified integrals and unknots in inviscid flows
Periodic orbits in magnetic fields in dimensions greater than two
A new class of positive recurrent functions
Symmetric products and $Q$-manifolds
Symbolic dynamics of the collinear three-body problem
Grassmannians, nonlinear wave equations and generalized Schur functions
The similarity boundary of a self-similar set
Homotopy classes of maps between Knaster continua
Equivalences for Morse homology
More monotone open homogeneous locally connected plane continua
Blowup and fixed points
Table of Contents provided by Publisher. All Rights Reserved.

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