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Related papers: Chaotic motion and spiral structure in self-consis…

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It has been shown that the dissipative gas infall during galaxy formation has the capability to modify the shape of dark matter halos. In this paper we perform the first detailed analysis of particle orbits in a cosmological dark matter…

Astrophysics · Physics 2007-05-23 Andrea V. Maccio' , Ioannis Sideris , Marco Miranda , Ben Moore , Roland Jesseit

This paper continues a series reporting different aspects of the behaviour of disc galaxy simulations that support spiral instabilities. The focus in this paper is to demonstrate how linear spiral instabilities saturate and decay, and how…

Astrophysics of Galaxies · Physics 2023-03-08 J A Sellwood , R G Carlberg

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 summarize various cases where chaotic orbits can be described analytically. First we consider the case of a magnetic bottle where we have non-resonant and resonant ordered and chaotic orbits. In the sequence we consider the hyperbolic…

Chaotic Dynamics · Physics 2016-11-03 G. Contopoulos , M. Harsoula , C. Efthymiopoulos

We investigate the transition from regular to chaotic motion in a composite galaxy model with a disk-halo, a massive dense nucleus and a dark halo component. We obtain relationships connecting the critical value of the mass of the nucleus…

Astrophysics of Galaxies · Physics 2015-06-11 Nicolaos D. Caranicolas , Euaggelos E. Zotos

In this paper we study a stellar dynamic model for the stars' rotational-dynamics, with a distribution of its own mass, rotating around its center with a higher density, like spiral galaxies happen, by means of a classical calculus of the…

Astrophysics · Physics 2019-09-10 E. Lopez-Sandoval

This study theoretically considers the motion of N identical inelastic particles between two oscillating walls. The particles' average energy increases abruptly at certain critical filling fractions, wherein the system changes into a…

Data Analysis, Statistics and Probability · Physics 2011-01-31 Fei Fang Chung , Sy-Sang Liaw , Wei Chun Chang

Pattern formation of a thin layer of vertically agitated wet granular matter is investigated experimentally. Due to the strong cohesion arising from the capillary bridges formed between adjacent particles, agitated wet granular matter…

Soft Condensed Matter · Physics 2013-01-24 Kai Huang Lorenz Butzhammer , Ingo Rehberg

We consider a version of the Vlasov equation on the circle under a periodic potential $V(x,t)$ and a repulsing smooth interaction $W$. We suppose that the Lagrangian for the single particle has chaotic orbits; using Aubry-Mather theory and…

Analysis of PDEs · Mathematics 2016-12-20 Ugo Bessi

In order to address the question of whether spiral disturbances in galaxy discs are gravitationally coupled to the halo, we conduct simulations of idealized models of disc galaxies. We compare growth rates of spiral instabilities in…

Astrophysics of Galaxies · Physics 2021-07-14 J. A. Sellwood

Noncircular motions have been observed across various spatial scales in disk galaxies, yet the physical properties of the gas involved in these motions remain poorly constrained. Using data from 19 galaxies from the PHANGS-MUSE sample, we…

Many of the Milky Way's accreted substructures have been discovered and studied in the space of energy $E$, and angular momentum components $L_z$ and $L_{\bot}$. In a static axisymmetric system, these quantities are (reasonable…

Astrophysics of Galaxies · Physics 2025-08-27 Hanneke C. Woudenberg , Amina Helmi

We have investigated the appearance of chaos in the 1-dimensional Newtonian gravitational three-body system (three masses on a line with $-1/r$ pairwise potential). We have concentrated in particular on how the behavior changes when the…

chao-dyn · Physics 2009-10-22 Jarmo Hietarinta , Seppo Mikkola

A co-rotation radius is a key characteristic of disc galaxies that is essential to determine the angular speed of the spiral structure $\Omega_{p}$, and therefore understand its nature. In the literature, there are plenty of methods to…

Astrophysics of Galaxies · Physics 2024-05-20 Valeria S. Kostiuk , Alexander A. Marchuk , Alexander S. Gusev

The escape mechanism of orbits in a star cluster rotating around its parent galaxy in a circular orbit is investigated. A three degrees of freedom model is used for describing the dynamical properties of the Hamiltonian system. The…

Astrophysics of Galaxies · Physics 2017-02-24 Euaggelos E. Zotos , Christof Jung

Integrations in fixed N-body realisations of smooth density distributions corresponding to a chaotic galactic potential can be used to derive reliable estimates of the largest (finite time) Lyapunov exponent X_S associated with an orbit in…

Astrophysics · Physics 2009-11-07 Henry E. Kandrup , Ioannis V. Sideris

Recent experimental results on the arrival direction of high-energy cosmic rays have motivated studies to understand their propagating environment. The observed anisotropy is shaped by interstellar and local magnetic fields. In coherent…

High Energy Astrophysical Phenomena · Physics 2025-10-10 Vanessa López-Barquero , Paolo Desiati

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 analyzed the regularity/chaoticity of the orbits of 45 globular clusters in the central region of the Galaxy with a radius of 3.5 kpc, which are subject to the greatest influence from an elongated rotating bar. Various analysis methods…

Astrophysics of Galaxies · Physics 2024-06-25 Anisa Bajkova , Anton Smirnov , Vadim Bobylev

We have investigated the motion of timelike particles along geodesic in the background of accelerating and rotating black hole spacetime. We confirmed that the chaos exists in the geodesic motion of the particles by Poincar\'e sections, the…

General Relativity and Quantum Cosmology · Physics 2016-10-12 Songbai Chen , Mingzhi Wang , Jiliang Jing