QUALITATIVE CHAOS IN GALACTIC MODELS

Citation
M. Szydlowski et al., QUALITATIVE CHAOS IN GALACTIC MODELS, Chaos, solitons and fractals, 4(2), 1994, pp. 285-292
Citations number
16
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
ISSN journal
09600779
Volume
4
Issue
2
Year of publication
1994
Pages
285 - 292
Database
ISI
SICI code
0960-0779(1994)4:2<285:QCIGM>2.0.ZU;2-0
Abstract
On the basis of the average criterion of the qualitative behaviour of the Hamiltonian dynamical systems, the significance of the anisotropy and inhomogenity assumptions is discussed. For two different approxima tions of the galaxy as a rigid body and as an N-body system we use the Ricci scalar in order to detect the degree of stochasticity. This dem onstrates that inhomogeneities in the model give a more effective mech anism of stochasticity of the system than its anisotropies.