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Existence of Finite-Time Hyperbolic Trajectories for Planar Hamiltonian Flows


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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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).

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  • EPH partition
  • Finite time dynamics
  • Vortex merger

Mathematics Subject Classification (2000)

  • Primary 37B55
  • 37D05
  • Secondary 37J20
  • 76F20