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Disk galaxies and dynamical systems with non-negative curvature

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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.

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Gurzadyan, V.G., Kocharyan, A.A. Disk galaxies and dynamical systems with non-negative curvature. Astrophys Space Sci 133, 253–266 (1987). https://doi.org/10.1007/BF00642485

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  • Dynamical System
  • Crucial Role
  • Stable Solution
  • Typical Property
  • Spiral Galaxy