19 research outputs found
Chaotic orbits in a 3D galactic dynamical model with a double nucleus
A 3D-dynamical model is constructed for the study of motion in the central
regions of a disk galaxy with a double nucleus. Using the results of the
2D-model, we find the regions of initial conditions in the (x,px,z,py)=EJ,
(y=pz=0) phase space producing regular or chaotic orbits. The majority of stars
are on chaotic orbits. All chaotic orbits come arbitrary close to one or to
both nuclei. Regular orbits are those starting near the stable periodic orbits
of the 2D-system with small values of z0. All regular orbits circulate around
only one of the two nuclei.Comment: Published in Mechanics Research Communications journa
Investigating the nature of motion in 3D perturbed elliptic oscillators displaying exact periodic orbits
We study the nature of motion in a 3D potential composed of perturbed
elliptic oscillators. Our technique is to use the results obtained from the 2D
potential in order to find the initial conditions generating regular or chaotic
orbits in the 3D potential. Both 2D and 3D potentials display exact periodic
orbits together with extended chaotic regions. Numerical experiments suggest,
that the degree of chaos increases rapidly, as the energy of the test particle
increases. About 97% of the phase plane of the 2D system is covered by chaotic
orbits for large energies. The regular or chaotic character of the 2D orbits is
checked using the S(c) dynamical spectrum, while for the 3D potential we use
the S(c) spectrum, along with the P(f) spectral method. Comparison with other
dynamical indicators shows that the S(c) spectrum gives fast and reliable
information about the character of motion.Comment: Published in Nonlinear Dynamics (NODY) journa