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Existence of Finite-Time Hyperbolic Trajectories for Planar Hamiltonian Flows

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Abstract

We present a shadowing theorem on the existence of hyperbolic trajectories on finite time intervals based on the EPH partition by George Haller and apply it to an example which is inspired by the problem of two-dimensional symmetric vortex merger.

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Authors and Affiliations

  1. Institute of Mathematics, NCST 18 Hoang Quoc Viet Road, Cau Giay, Hanoi, 10307, Vietnam

    Luu Hoang Duc

  2. Department of Mathematics, Dresden University of Technology, 01069, Dresden, Germany

    Stefan Siegmund

Authors
  1. Luu Hoang Duc
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  2. Stefan Siegmund
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Corresponding author

Correspondence to Luu Hoang Duc.

Additional information

This paper is dedicated to Russell Johnson on the occasion of his birthday.

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Duc, L.H., Siegmund, S. Existence of Finite-Time Hyperbolic Trajectories for Planar Hamiltonian Flows. J Dyn Diff Equat 23, 475–494 (2011). https://doi.org/10.1007/s10884-011-9211-8

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  • DOI: https://doi.org/10.1007/s10884-011-9211-8

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