Geometry and Topology in Dynamics
( Contemporary Mathematics )
Publication series ：Contemporary Mathematics
Author： Marcy Barge
Publisher： American Mathematical Society
Publication year： 2011
E-ISBN: 9780821878361
P-ISBN(Paperback): 9780821819586
Subject： O1 Mathematics
Keyword： Geometry and Topology
Language： ENG
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Geometry and Topology in Dynamics
Description
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.