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We study the nature of motion in a logarithmic galactic dynamical model, with an additional external perturbation. Two different cases are investigated. In the first case the external perturbation is fixed, while in the second case it is…

Astrophysics of Galaxies · Physics 2012-04-03 Euaggelos E. Zotos

A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the waves dynamics. We focus on the configurations of locked solutions (equilibria) and how the…

Chaotic Dynamics · Physics 2025-04-16 Matheus Jean Lazarotto , Iberê Luiz Caldas , Yves Elskens

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

Phase mixing of chaotic orbits exponentially distributes these orbits through their accessible phase space. This phenomenon, commonly called ``chaotic mixing'', stands in marked contrast to phase mixing of regular orbits which proceeds as a…

Accelerator Physics · Physics 2009-11-10 Courtlandt L. Bohn , Ioannis V. Sideris

In a recent letter [Phys.Rev.Lett. {\bf 30}, 3269 (1995), chao-dyn/9510011], we reported that a macroscopic chaotic determinism emerges in a multistable system: the unidirectional motion of a dissipative particle subject to an apparently…

chao-dyn · Physics 2009-10-28 Tsuyoshi Hondou , Yasuji Sawada

The onset of chaos and the mechanism of rotational damping are studied in an exactly soluble particle-rotor model. It is shown that the degree of chaoticity as inferred from the statistical measures is closely related to the onset of…

Nuclear Theory · Physics 2009-11-10 Javid A. Sheikh , Yang Sun

Dynamical chaos has recently been shown to exist in the Gaussian approximation in quantum mechanics and in the self-consistent mean field approach to studying the dynamics of quantum fields. In this study, we first show that any variational…

Quantum Physics · Physics 2008-11-26 Fred Cooper , John Dawson , Salman Habib , Robert D. Ryne

We study the closed Hamiltonian dynamics of a free particle moving on a ring, over one section of which it interacts linearly with a single harmonic oscillator. On the basis of numerical and analytical evidence, we conjecture that at small…

Chaotic Dynamics · Physics 2007-05-23 Stephan De Bievre , Paul E. Parris , Alex A. Silvius

We consider a system of two coupled particles evolving in a periodic and spatially symmetric potential under the influence of external driving and damping. The particles are driven individually in such a way that in the uncoupled regime,…

Chaotic Dynamics · Physics 2013-05-27 Colm Mulhern , Dirk Hennig , Andrew D. Burbanks

The appearance of chaotic quantum dynamics significantly depends on the symmetry properties of the system, and in cold atomic systems many of these can be experimentally controlled. In this work, we systematically study the emergence of…

Quantum Physics · Physics 2023-07-26 Tran Duong Anh-Tai , Mathias Mikkelsen , Thomas Busch , Thomás Fogarty

A system of interacting particles described by stochastic differential equations is considered. As oppopsed to the usual model, where the noise perturbations acting on different particles are independent, here the particles are subject to…

Analysis of PDEs · Mathematics 2016-06-23 Michele Coghi , Franco Flandoli

In particle accelerators, particle losses to surrounding components must be minimized. These particles usually have been driven into an undesired "halo" outside the desired distribution before being lost. The processes involved and physical…

Accelerator Physics · Physics 2018-07-04 Chao Li , R. A. Jameson

We study the existence of homoclinic orbit and the onset of chaotic motion for a massive particle moving around a Schwarzschild-like black hole embedded in a Dehnen-(1,4,5/2) type dark matter halo, within the extreme-mass-ratio limit…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Surajit Das , Surojit Dalui , Bum-Hoon Lee , Yi-Fu Cai

This study investigates the emergence of chaotic dynamics in Bose-Einstein condensates (BECs) subjected to both alternating (AC) and constant (DC) components of the interaction strength, modeled through the scattering length. We…

Quantum Physics · Physics 2025-06-03 C. Selvaraju , S. Sabari , O. T. Lekeufack , F. Kenmogne , N. Athavan

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

We analyze the motion of a {\it massless} and {\it chargeless} particle very near to the event horizon. It reveals that the radial motion has exponential growing nature which indicates that there is a possibility of inducing chaos in the…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Surojit Dalui , Bibhas Ranjan Majhi , Pankaj Mishra

Space charge effects can be very important for the dynamics of intense particle beams, as they repeatedly pass through nonlinear focusing elements, aiming to maximize the beam's luminosity properties in the storage rings of a high energy…

Accelerator Physics · Physics 2008-11-26 T. Bountis , Ch. Skokos

Chaotic internal degrees of freedom of a molecule can act as noise and affect the diffusion of the molecule on a substrate. A separation of time scales between the fast internal dynamics and the slow motion of the centre of mass on the…

Chaotic Dynamics · Physics 2011-07-14 Astrid S. de Wijn , Annalisa Fasolino

A gas of interacting particles is a paradigmatic example of chaotic systems. It is shown here that even if all but one particle are fixed in generic positions, the excited states of the moving particle are chaotic. They are characterized by…

Quantum Physics · Physics 2023-01-18 Vladimir A. Yurovsky

We study the regular or chaotic nature of motion in a disk galaxy with a dense nucleus and an asymmetric dark halo. Two cases, the 2D model and the 3D model, are investigated. In the 2D model, a considerable fraction of the phase plane is…

Astrophysics of Galaxies · Physics 2012-04-23 Nicolaos D. Caranicolas , Euaggelos E. Zotos