The periodic orbits of an area preserving twist map |
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| Authors: | S B Angenent |
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| Institution: | (1) Department of Mathematics, University of Leiden, Niels Bohrweg 1, Leiden, The Netherlands;(2) Present address: Department of Mathematics, University of Wisconsin, Van Vleck Hall, 480 Lincoln Drive, 53706 Madison, WI, USA |
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| Abstract: | We study the oscillation properties of periodic orbits of an area preserving twist map. The results are inspired by the similarity between the gradient flow of the associated action-function, and a scalar parabolic PDE in one space dimension. The Conley-Zehnder Morse theory is used to construct orbits with prescribed oscillatory behavior. |
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