Self-Similar Natural Boundaries of Non-Integrable Dynamical Systems in the Complex t Plane

  • H. Yoshida
Part of the Springer Series in Synergetics book series (SSSYN, volume 24)


Self-similar structure of the set of singularities (natural boundary) in the complex t plane is explained by the expansion of solution about singularities.


Fractal Dimension Hamiltonian System Taylor Series Canonical Variable Natural Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1).
    Y.F.Chang, M.Tabor, J.Weiss and G.Corliss: Phys. Lett. A85, 211 (1981).MathSciNetADSGoogle Scholar
  2. 2).
    Y.F.Chang, H.Tabor and J.Weiss: J. Math. Phys. 23, 531 (1982).MathSciNetADSzbMATHCrossRefGoogle Scholar
  3. 3).
    Y.F.Chang and G.Corliss: J. Inst. Math. Applies. 25 349 (1980).MathSciNetzbMATHCrossRefGoogle Scholar
  4. 4).
    H.Yoshida: Kôkyûroku RIMS, Kyoto University, 472, 143 (1982). in Japanese.Google Scholar
  5. 5).
    H.Yoshida: “Necessary condition for the existence of algebraic first integrals, Part I and Part II”, Celestial Mech. in press.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • H. Yoshida
    • 1
  1. 1.Department of AstronomyUniversity of TokyoTokyoJapan

Personalised recommendations