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.
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978-0-8218-1958-6 (9780821819586)
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Schweitzer Klassifikation
Homeomorphisms of one-dimensional inverse limits with applications to substitution tilings, unstable manifolds, and tent maps by M. Barge, J. Jacklitch, and G. Vago Isotopy stability of dynamics on surfaces by P. Boyland Homeomorphic restrictions of unimodal maps by H. Bruin Flows on solenoids are generically not almost periodic by A. Clark Dynamics forced by surface trellises by P. Collins The Hausdorff dimension of the boundary of the Levy dragon by P. Duvall and J. Keesling Stratified integrals and unknots in inviscid flows by J. B. Etnyre and R. W. Ghrist Periodic orbits in magnetic fields in dimensions greater than two by V. L. Ginzburg and E. Kerman A new class of positive recurrent functions by P. Hanus and M. Urbanski Symmetric products and $Q$-manifolds by A. Illanes, S. Macias, and S. B. Nadler, Jr. Symbolic dynamics of the collinear three-body problem by S. R. Kaplan Grassmannians, nonlinear wave equations and generalized Schur functions by A. Kasman The similarity boundary of a self-similar set by J. E. Keesling and C. Krishnamurthi Homotopy classes of maps between Knaster continua by P. Minc Equivalences for Morse homology by M. Schwarz More monotone open homogeneous locally connected plane continua by C. R. Seaquist Blowup and fixed points by C. W. Stark.
