Disk galaxies and dynamical systems with non-negative curvature

Details Disk galaxies and dynamical systems with non-negative curvature Disk galaxies and dynamical systems with non-negative curvature

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.133..253g&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 133, no. 2, 1987, p. 253-266.

Statistics

Computation

2

Computational Astrophysics, Curvature, Disk Galaxies, Dynamical Systems, Stellar Motions, Dynamic Stability, Hamiltonian Functions, Jacobi Integral, Numerical Stability, Stochastic Processes

Scientific paper

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 Anosov U-systems and to have no transversal fibers. As an example the Hénon-Heiles system is studied: the existence of strongly 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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