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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Communicated by J. N. Mather
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Angenent, S.B. The periodic orbits of an area preserving twist map. Commun.Math. Phys. 115, 353–374 (1988). https://doi.org/10.1007/BF01218016
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DOI: https://doi.org/10.1007/BF01218016