Evolution of stellar systems with a massive center

Details Evolution of stellar systems with a massive center Evolution of stellar systems with a massive center

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986dossr.289...60g&link_type=abstract

Akademiia Nauk SSSR, Doklady (ISSN 0002-3264), vol. 289, July-Aug. 1986, p. 60-64. In Russian.

Statistics

Computation

4

Computational Astrophysics, Dynamical Systems, Star Distribution, Stellar Evolution, Stellar Mass, Stellar Systems, Celestial Mechanics, Dynamic Stability, Energy Dissipation, Liouville Equations, Stellar Motions

Scientific paper

The evolution of a stellar system with a central massive body is examined on the basis of the theory of dynamic systems with the use of evolutionary equations. Consideration is given to open dissipative systems for which the Liouville theorem on the conservation of phase volume is not satisfied. It is shown that, depending on the free parameters, the system can also have a structurally stable singular point which can be dynamically stable or unstable, including a repulsive (attractive) node and focus. The system can also have two limit cycles, one cycle, or none. This can be accompanied by supercritical and subcritical Hopf bifurcation with a separation corresponding to the 'butterfly' catastrophe.

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