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Journal of Dynamics and Differential Equations

, Volume 23, Issue 3, pp 475–494 | Cite as

Existence of Finite-Time Hyperbolic Trajectories for Planar Hamiltonian Flows

  • Luu Hoang DucEmail author
  • Stefan Siegmund
Article

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.

Keywords

EPH partition Finite time dynamics Vortex merger 

Mathematics Subject Classification (2000)

Primary 37B55 37D05 Secondary 37J20 76F20 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Institute of MathematicsCau Giay, HanoiVietnam
  2. 2.Department of MathematicsDresden University of TechnologyDresdenGermany

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