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One of the intrinsic characteristics of far-from-equilibrium systems is the nonrelaxational nature of the system dynamics, which leads to novel properties that cannot be understood and described by conventional pathways based on…

Soft Condensed Matter · Physics 2020-11-25 Zhi-Feng Huang , Andreas M. Menzel , Hartmut Löwen

The dynamical evolution of barred galaxies depends crucially on the fraction and their spacial distribution of chaotic orbits in them. In order to distinguish between the two kinds of orbits, we use the Smaller Alignment Index (SALI)…

Astrophysics · Physics 2007-05-23 T. Manos , E. Athanassoula

The orbits of stars in galaxies are generically chaotic: the chaotic behavior arises in part from the intrinsically grainy nature of a potential that is composed of point masses. Even if the potential is assumed to be smooth, however,…

Astrophysics · Physics 2018-03-28 Monica Valluri , David Merritt

The pattern speeds of spiral galaxies are closely related to the flow of material in their disks. Flows that follow the `precessing ellipses' paradigm (see e.g., Kalnajs 1973) are likely associated with slowly rotating spirals, which have…

Astrophysics of Galaxies · Physics 2010-02-08 P. A. Patsis , C. Kalapotharakos

I argue that the widely adopted framework of stellar dynamics survived since 1940s, is not fitting the current knowledge on non-linear systems. Borrowed from plasma physics when several fundamental features of perturbed non-linear systems…

Astrophysics · Physics 2008-11-26 V. G. Gurzadyan

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

Globular clusters are among the most congested stellar systems in the Universe. Internal dynamical evolution drives them toward states of high central density, while simultaneously concentrating the most massive stars and binary systems in…

Solar and Stellar Astrophysics · Physics 2015-06-22 Stephen L. W. McMillan

We investigate the evolution of phase space close to complex unstable periodic orbits in two galactic type potentials. They represent characteristic morphological types of disc galaxies, namely barred and normal (non-barred) spiral…

Astrophysics of Galaxies · Physics 2021-11-24 P. A. Patsis , T. Manos , L. Chaves-Velasquez , Ch. Skokos , I. Puerari

We study the dynamics of three particles in a finite interval, in which two light particles are separated by a heavy ``piston'', with elastic collisions between particles but inelastic collisions between the light particles and the interval…

Statistical Mechanics · Physics 2009-11-11 P. I. Hurtado , S. Redner

In the present work we consider a diatomic granular crystal, consisting of alternating aluminum and steel spheres, where the first sphere is an aluminum one. The combination of dissipation, driving of the boundary, and intrinsic…

Pattern Formation and Solitons · Physics 2015-06-12 C. Hoogeboom , Y. Man , N. Boechler , G. Theocharis , P. G. Kevrekidis , I. G. Kevrekidis , C. Daraio

This paper looks for any correlation between the internal dynamics of elliptical galaxies and the relatively mild nuclear activity found in many such systems. We show that there is such a relation in the sense that the active ellipticals…

Astrophysics · Physics 2009-11-10 M. R. Merrifield

Chaotic dynamics can be quite heterogeneous in the sense that in some regions the dynamics are unstable in more directions than in other regions. When trajectories wander between these regions, the dynamics is complicated. We say a chaotic…

Dynamical Systems · Mathematics 2022-10-10 Yoshitaka Saiki , Hiroki Takahasi , James A. Yorke

Tight Triple Systems have stars in a hierarchical configuration with a third star orbiting the inner binary with a period of fewer than 1000 days. Such systems are important for understanding the formation and evolution of stars in multiple…

Solar and Stellar Astrophysics · Physics 2023-03-13 Ayush Moharana , K. G. Helminiak , F. Marcadon , T. Pawar , M. Konacki

Stochastic dynamics is generated by a matrix of transition probabilities. Certain eigenvectors of this matrix provide observables, and when these are plotted in the appropriate multi-dimensional space the phases (in the sense of phase…

Statistical Mechanics · Physics 2007-11-08 B. Gaveau , L. S. Schulman

We present an analytical model for the non-spherical collapse of overdense regions out of a Gaussian random field of initial cosmological perturbations. The collapsing region is treated as an ellipsoid of constant density, acted upon by the…

Astrophysics · Physics 2009-10-22 Daniel J. Eisenstein , Abraham Loeb

This short review is devoted to the problem of the equilibrium of stellar dynamical systems in the context of the Vlasov-Poisson model. In a first part we will review some classical problems posed by the application of the Vlasov-Poisson…

Astrophysics · Physics 2009-11-13 jerome perez

We study the perturbations of a relatively close third star on a tidally distorted eccentric eclipsing binary. We consider both the observational consequences of the variations of the orbital elements and the interactions of the stellar…

Astrophysics · Physics 2009-11-13 T. Borkovits , E. Forgács-Dajka , Zs. Regály

The restricted three-vortex problem is investigated with one of the point vortices fixed in the plane. The motion of the free vortex having zero circulation is explored from a rotating frame of reference within which the free vortex with…

Classical Physics · Physics 2019-10-29 Sreethin Sreedharan K , Priyanka Shukla

A review of elliptical galaxy dynamics, with a focus on nonintegrable models. Topics covered include torus construction; modelling axisymmetric galaxies; triaxiality; collisionless relaxation; and collective instabilities.

Astrophysics · Physics 2009-10-31 David Merritt

Exoplanet detection surveys revealed the existence of numerous multi-planetary systems packed close to their stability limit. In this proceeding, we review the mechanism driving the instability of compact systems, originally published in…

Earth and Planetary Astrophysics · Physics 2024-12-02 Antoine C. Petit
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