Stellar systems as dissipative dynamical systems

Details Stellar systems as dissipative dynamical systems Stellar systems as dissipative dynamical systems

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987afz....26..275g&link_type=abstract

(Astrofizika, vol. 26, Mar.-Apr. 1987, p. 275-284) Astrophysics (ISSN 0571-7132), vol. 26, no. 2, Sept. 1987, p. 169-174. Transl

Mathematics

Dynamical Systems

Astrodynamics, Catastrophe Theory, Dynamical Systems, Star Clusters, Stellar Evolution, Branching (Physics), Differential Equations, Eigenvalues, Nonconservative Forces, Phase Deviation

Scientific paper

The evolution of a stellar system containing a massive central body is investigated by the methods of the theory of dynamical systems and catastrophe theory. The problem is reduced to the study of a two-dimensional dissipative system - a simple attractor. The presence of stable and unstable singular points (nodes and focuses) and cycles is shown. In the system there may be subcritical and supercritical Hopf bifurcations with a separatrix corresponding to a symmetric butterfly catastrophe of type A(+, -5).

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