The stochastic behaviour of a galactic model dynamical system

Details The stochastic behaviour of a galactic model dynamical system The stochastic behaviour of a galactic model dynamical system

Aug 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..385b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, Aug. 1984, p. 385-395.

Mathematics

Dynamical Systems

4

Astronomical Models, Celestial Mechanics, Dynamical Systems, Galaxies, Orbital Mechanics, Stochastic Processes, Energy Distribution, Orbital Velocity, Periodic Functions, Potential Theory, Systems Stability

Scientific paper

Since no escapes appear in the time-dependent dynamical system with closed zero-velocity curves for arbitrarily large scales whose stochastic behavior is presently studied, the stochasticity of the system can be studied for any value of the energy. The numerical results obtained indicate that the degree of stochasticity grows as the energy increases from zero, but then attains an maximum and thereafter decreases slowly for larger energies. The polynomial potential presently considered is suited to the use of a Taylor series method in the time step.

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