A method for Visualizing the 4-Dimensional Space of Section in 3-D Hamiltonian Systems

  • P. A. Patsis
  • L. Zachilas
Part of the NATO ASI Series book series (NSSB, volume 331)


An empirical method that uses colors and rotation of 3D figures is proposed for visualizing the 4D “Poincaré space of section” in 3D Hamiltonian systems. The representation of the 4th dimension as color variation in 3D projections, gives essential information about the areas that are close to each other in the 4D space. This method helps us to reveal existing structures in cases where the consequents in the 3D projections seem to fill densely the space.


Periodic Orbit Gray Shade Unstable Periodic Orbit Interactive Data Language Orbital Behavior 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • P. A. Patsis
    • 1
  • L. Zachilas
    • 2
  1. 1.ESOGarching bei MünchenGermany
  2. 2.Dept. of ChemistryUniversity of CreteHellas

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