Astrophysics and Space Science

, Volume 133, Issue 2, pp 253–266 | Cite as

Disk galaxies and dynamical systems with non-negative curvature

  • V. G. Gurzadyan
  • A. A. Kocharyan


The stochastic and regular properties of disk stellar systems being dynamical systems with non-negative curvature are investigated. It is shown that the existence of regions of regular (ordered) and stochastic motion is their typical property (RS-systems). The stochastic regions of two-dimensional systems consisting of ergodic components with positive KS-entropy is shown not to be AnosovU-systems and to have no transversal fibers. As an example the Hénon-Heiles system is studied: the existence ofstrongly stable solutions is proved. The results indicate the crucial role of chaos and order in the dynamics of spiral galaxies of different classes.


Dynamical System Crucial Role Stable Solution Typical Property Spiral Galaxy 
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Copyright information

© D. Reidel Publishing Company 1987

Authors and Affiliations

  • V. G. Gurzadyan
    • 1
  • A. A. Kocharyan
    • 1
  1. 1.Department of Theoretical PhysicsYerevan Physics InstituteYerevanArmenia, U.S.S.R.

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