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A 3D dynamical model is used to study the motion in the central parts of an elliptical galaxy, hosting a massive and dense nucleus. Our aim is to investigate the regular or chaotic character of the motion, with emphasis in the different…

Astrophysics of Galaxies · Physics 2018-03-14 Euaggelos E. Zotos

A new dynamical parameter, the f-indicator, is introduced and used in order to distinguish between regular and chaotic motion in galactic Hamiltonian systems. Two kinds of galactic potentials are used: (i) a global potential, which…

Chaotic Dynamics · Physics 2012-09-11 Euaggelos E. Zotos

A 3D dynamical model with a quasi-homogeneous core and a disk component is used for the chaos control in the central parts of elliptical galaxy. Numerical experiments in the 2D system show a very complicated phase plane with a large chaotic…

Astrophysics of Galaxies · Physics 2018-03-14 Euaggelos E. Zotos

The theory of the inverse problem is used in order to find a two dimensional galactic potential generating a mono-parametric family of elliptic periodic orbits. The potential is made up of a two-dimensional harmonic oscillator with…

Chaotic Dynamics · Physics 2013-03-05 Euaggelos E. Zotos

We present a new dynamical model describing 3D motion in non axially symmetric galaxies. The model covers a wide range of galaxies from a disk system to an elliptical galaxy by suitably choosing the dynamical parameters. We study the…

Astrophysics of Galaxies · Physics 2014-02-18 Euaggelos E. Zotos , Nicolaos D. Caranicolas

We study the behavior of orbits in two different galactic dynamical models, describing the motion in the central parts of a triaxial elliptical galaxy with a dense nucleus. Numerical experiments show that both models display regular motion…

Astrophysics of Galaxies · Physics 2015-06-04 Euaggelos E. Zotos

The regular and chaotic character of orbits is investigated in a 3D potential describing motion in the central parts of a barred galaxy. This potential is an extension in the 3D space of a 2D potential based on a family of figure-eight…

Astrophysics of Galaxies · Physics 2012-04-03 Nicolaos D. Caranicolas , Euaggelos E. Zotos

The regular or chaotic character of orbits of stars moving in the meridional plane (R,z) of an axially symmetric elliptical galaxy with a dense, massive spherical nucleus and a dark matter halo component is under investigation. In…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos , Nicolaos D. Caranicolas , Efthimia G. Doni

One of the fundamental tasks in the study of dynamical systems is the discrimination between regular and chaotic behavior. Over the years several methods of chaos detection have been developed. Some of them, such as the construction of the…

Chaotic Dynamics · Physics 2020-07-03 Henok Tenaw Moges

We use a composite gravitational galactic model consisting of a disk, a halo, a massive nucleus and a strong nuclear bar, in order to study the connections between global and local parameters in a realistic dynamical system. The local model…

Astrophysics of Galaxies · Physics 2012-05-01 Euaggelos E. Zotos

The regular or chaotic dynamics of an analytical realistic three dimensional model composed of a spherically symmetric central nucleus, a bar and a flat disk is investigated. For describing the properties of the bar we introduce a new…

Astrophysics of Galaxies · Physics 2015-11-18 Christof Jung , Euaggelos E. Zotos

In the present article, we investigate the properties of motion in Hamiltonian systems of two and three degrees of freedom, using the distribution of the values of two new dynamical parameters. The distribution functions of the new…

Chaotic Dynamics · Physics 2012-06-26 Euaggelos E. Zotos

A three-dimensional dynamical model for a galaxy hosting a BL Lacertae object is constructed. The model consists of a logarithmic potential representing an elliptical host galaxy with a bulge of radius $c_b$ and a dense massive nucleus.…

Astrophysics of Galaxies · Physics 2014-10-28 Euaggelos E. Zotos

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…

Astrophysics of Galaxies · Physics 2012-06-26 Nicolaos D. Caranicolas , Euaggelos E. Zotos

Studies of dynamical stability (chaotic versus regular motion) in galactic dynamics often rely on static analytical models of the total gravitational potential. Potentials based upon self-consistent N-body simulations offer more realistic…

Astrophysics of Galaxies · Physics 2016-04-08 Rubens E. G. Machado , T. Manos

We investigate the regular or chaotic nature of star orbits moving in the meridional plane of an axially symmetric galactic model with a disk and a spherical nucleus. We study the influence of some important parameters of the dynamical…

Astrophysics of Galaxies · Physics 2013-07-17 Euaggelos E. Zotos , Daniel D. Carpintero

In the present article, we investigate the behavior of orbits in a time independent axially symmetric galactic type potential. This dynamical model can be considered to describe the motion in the central parts of a galaxy, for values of…

Astrophysics of Galaxies · Physics 2012-06-13 Euaggelos E. Zotos

We take into account the dynamics of three types of models of rotating galaxies in polar coordinates in a rotating frame. Due to non-axisymmetric potential perturbations, the angular momentum varies with time, and the kinetic energy depends…

Computational Physics · Physics 2023-02-14 Li-Na Zhang , Wen-Fang Liu , Xin Wu

In the present article, we use an axially symmetric galactic gravitational model with a disk-halo and a spherical nucleus, in order to investigate the transition from regular to chaotic motion for stars moving in the meridian (r,z) plane.…

Astrophysics of Galaxies · Physics 2015-06-04 Euaggelos E. Zotos

We study the transition from regular to chaotic motion in a prolate elliptical galaxy dynamical model with a bulge and a dense nucleus. Our numerical investigation shows that stars with angular momentum Lz less than or equal to a critical…

Astrophysics of Galaxies · Physics 2012-04-06 Nicolaos D. Caranicolas , Euaggelos E. Zotos
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