Disk galaxies and dynamical systems with non-negative curvature |
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| Authors: | V G Gurzadyan A A Kocharyan |
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| Institution: | (1) Department of Theoretical Physics, Yerevan Physics Institute, Yerevan, Armenia, U.S.S.R. |
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| Abstract: | 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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