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Astron. Astrophys. 349, 70-76 (1999)

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Order and chaos in galactic maps

N.D. Caranicolas and Ch.L. Vozikis

Section of Astrophysics, Astronomy and Mechanics Department of Physics, University of Thessaloniki, GR-54006 Thessaloniki, Greece

Received 15 March 1999 / Accepted 14 June 1999


We investigate the properties of motion in a map model derived from a galactic Hamiltonian made up of perturbed elliptic oscillators. The phase space portrait is obtained in all three different cases using the map and numerical integration of the equations of motion. Our numerical calculations suggest that the map describes very well the properties of regular motion in all three cases. There are cases where the map fails to describe chaotic motion and cases where the map describes satisfactorily the chaotic phase plane. We also compare the Lyapunov characteristic number and the spectra of orbits derived by the map and numerical integration in each case. The agreement of the outcomes is satisfactory.

Key words: methods: numerical – galaxies: kinematics and dynamics

Send offprint requests to: N.D. Caranicolas

Correspondence to: caranic@astro.auth.gr

© European Southern Observatory (ESO) 1999

Online publication: August 25, 1999