Orbital dynamics in realistic galaxy models: NGC 3726, NGC 3877 and NGC
  4010
  In the present paper, using a generalization of the Miyamoto and Nagai
potential we adjusted the observed rotation curves of three specific spiral
galaxies to the analytical circular velocities. The observational data have
been taken from a 21 cm-line synthesis imaging survey using the Westerbork
Synthesis Radio Telescope, for three particular galaxies in the Ursa Major
cluster: NGC 3726, NGC 3877 and NGC 4010. Accordingly, the dynamics of the
system is analyzed in terms of the Poincar\'e sections method, finding that for
larger values of the angular momentum of the test particle or lower values its
total energy the dynamics is mainly regular, while on the opposite cases, the
dynamics is mainly chaotic. Our toy model opens the possibility to find chaotic
bounded orbits for stars in those particular galaxies.
