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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

Time-dependent potentials are common in galactic systems that undergo significant evolution, interactions, or encounters with other galaxies, or when there are dynamic processes like star formation and merging events. Recent studies show…

Astrophysics of Galaxies · Physics 2025-02-04 Eduárd Illés , Dániel Jánosi , Tamás Kovács

A three degrees of freedom (3-dof) barred galaxy model composed of a spherically symmetric nucleus, a bar, a flat disc and a spherically symmetric dark matter halo is used for investigating the dynamics of the system. We use colour-coded…

Astrophysics of Galaxies · Physics 2016-12-30 Christof Jung , Euaggelos E. Zotos

We study the regular or chaotic character of orbits in a 3D dynamical model, describing a triaxial galaxy surrounded by a spherical dark halo component. Our numerical experiments suggest that the percentage of chaotic orbits decreases…

Astrophysics of Galaxies · Physics 2012-04-10 Nicolaos D. Caranicolas , Euaggelos E. Zotos

We investigate regular and chaotic two-dimensional (2D) and three-dimensional (3D) orbits of stars in models of a galactic potential consisting in a disk, a halo and a bar, to find the origin of boxy components, which are part of the bar or…

Astrophysics of Galaxies · Physics 2017-12-13 L. Chaves-Velasquez , P. A. Patsis , I. Puerari , Ch. Skokos , T. Manos

We study the phase space dynamics of multi--dimensional symplectic maps, using the method of the Generalized Alignment Index (GALI). In particular, we investigate the behavior of the GALI for a system of N=3 coupled standard maps and show…

Chaotic Dynamics · Physics 2016-11-23 T. Manos , Ch. Skokos , T. Bountis

It is shown how the violation of the invariance of the $Z$-component of the orbital angular momentum $L_z$ in the axially symmetric potential of the Galaxy with a bar can serve as an indicator of the degree of orbital chaos of globular…

Astrophysics of Galaxies · Physics 2025-11-17 A. T. ~Bajkova , A. A. ~Smirnov , V. V. ~Bobylev

We apply the smaller alignment index (SALI) method for distinguishing between ordered and chaotic motion in some simple conservative dynamical systems. In particular we compute the SALI for ordered and chaotic orbits in a 2D and a 4D…

Chaotic Dynamics · Physics 2007-05-23 Ch. Skokos , Ch. Antonopoulos , T. C. Bountis , M. N. Vrahatis

The escape dynamics in an analytical gravitational model which describes the motion of stars in a binary system of interacting dwarf spheroidal galaxies is investigated in detail. We conduct a numerical analysis distinguishing between…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

We investigate in detail the escape dynamics in an analytical gravitational model which describes the motion of stars in a quasar galaxy with a disk and a massive nucleus. We conduct a thorough numerical analysis distinguishing between…

Astrophysics of Galaxies · Physics 2017-09-28 Euaggelos E. Zotos

In the present article, we present a galactic gravitational model of three degrees of freedom, in order to investigate and reveal the behavior of orbits in a binary quasar system. The two quasars are hosted in a pair of interacting disk…

Astrophysics of Galaxies · Physics 2014-02-18 Euaggelos E. Zotos

The Smaller Alignment Index (SALI) is a very useful and efficient indicator that can distinguish rapidly and with certainty between ordered and chaotic motion in Hamiltonian systems. This is based on the different behavior of the SALI in…

Chaotic Dynamics · Physics 2010-08-17 Ch. Antonopoulos , T. Manos , Ch. Skokos

The escape dynamics of the stars in a barred galaxy composed of a spherically symmetric central nucleus, a bar, a flat thin disk and a dark matter halo component is investigated by using a realistic three degrees of freedom (3-dof)…

Astrophysics of Galaxies · Physics 2018-01-03 Euaggelos E. Zotos , Christof Jung

The recently introduced GALI method is used for rapidly detecting chaos, determining the dimensionality of regular motion and predicting slow diffusion in multi--dimensional Hamiltonian systems. We propose an efficient computation of the…

Chaotic Dynamics · Physics 2009-11-13 Charalampos Skokos , Tassos Bountis , Chris Antonopoulos

This paper summarises a numerical investigation which aimed to identify and characterise regular and chaotic behaviour in time-dependent Hamiltonians H(r,p,t) = p^2/2 + U(r,t), with U=R(t)V(r) or U=V[R(t)r], where V(r) is a polynomial in x,…

Astrophysics · Physics 2009-10-31 Henry E. Kandrup , John Drury

We study the orbital structure in a series of self-consistent $N$-body configurations simulating rotating barred galaxies with spiral and ring structures. We perform frequency analysis in order to measure the angular and the radial…

Instrumentation and Methods for Astrophysics · Physics 2010-08-06 Maria Harsoula , Constantinos Kalapotharakos

Observational data indicate that the Milky Way is a barred spiral galaxy. Computation facilities and availability of data from Galactic surveys stimulate the appearance of models of the Galactic structure. More efforts to build dynamical…

Astrophysics of Galaxies · Physics 2018-07-18 Tatiana A. Michtchenko , Jacques R. D. Lépine , Douglas A. Barros , Ronaldo S. S. Vieira

For appropriately chosen weights, temporal averages in chaotic systems can be approximated as a weighted sum of averages over reference states, such as unstable periodic orbits. Under strict assumptions, such as completeness of the orbit…

Dynamical Systems · Mathematics 2025-06-23 Joshua L. Pughe-Sanford , Sam Quinn , Teodor Balabanski , Roman O. Grigoriev

We study the regular or chaotic nature of orbits in a 3D potential describing a triaxial galaxy surrounded by a spherical dark halo component. Our numerical calculations show, that the percentage of chaotic orbits decreases exponentially,…

Astrophysics of Galaxies · Physics 2012-04-11 Nicolaos D. Caranicolas , 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