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The motion in a simple, time independent rational galactic potential is studied. The potential is a generalization of a two dimensional harmonic oscillator potential and can be considered to describe plane motion in the central parts of a…

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

Some dynamical properties present in a problem concerning the acceleration of particles in a wave packet are studied. The dynamics of the model is described in terms of a two-dimensional area preserving map. We show that the phase space is…

Chaotic Dynamics · Physics 2011-09-14 Diego F. M. Oliveira , Marko Robnik , Edson D. Leonel

This paper exposes a novel exploratory formalism, which end goal is the numerical simulation of the dynamics of a cloud of particles weakly or strongly coupled with a turbulent fluid. Giventhe large panel of expertise of the list of…

Analysis of PDEs · Mathematics 2019-10-21 Ludovic Goudenège , Adam Larat , Julie Llobell , Marc Massot , David Mercier , Olivier Thomine , Aymeric Vié

Context. Dynamically self-consistent galactic models are necessary for analysing and interpreting star counts, stellar density distributions, and stellar kinematics in order to understand the formation and the evolution of our Galaxy. Aims.…

Astrophysics of Galaxies · Physics 2018-12-12 Olivier Bienaymé , Jérome Leca , Annie C. Robin

In this paper we use the two-dimensional (2D) version of a new analytical gravitational model in order to explore the orbital as well as the escape dynamics of the stars in a barred galaxy composed of a spherically symmetric central…

Astrophysics of Galaxies · Physics 2016-04-13 Christof Jung , Euaggelos E. Zotos

Statistically distinguishing between phase-coherent and noncoherent chaotic dynamics from time series is a contemporary problem in nonlinear sciences. In this work, we propose different measures based on recurrence properties of recorded…

Chaotic Dynamics · Physics 2012-02-23 Yong Zou , Reik V. Donner , Jürgen Kurths

The escape dynamics in a simple analytical gravitational model which describes the motion of stars in a Seyfert galaxy is investigated in detail. We conduct a thorough numerical analysis distinguishing between regular and chaotic orbits as…

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

In this paper we provide an extensive analysis of the global dynamics of high-area-to-mass ratios geosynchronous (GEO) space debris, applying a recent technique developed by Cincotta et al. (2000), Mean Exponential Growth factor of Nearby…

Astrophysics · Physics 2012-01-11 S. Valk , N. Delsate , A. Lemaitre , T. Carletti

Among dynamical modeling techniques, the made-to-measure (M2M) method for modeling steady-state systems is among the most flexible, allowing non-parametric distribution functions in complex gravitational potentials to be modeled efficiently…

Astrophysics of Galaxies · Physics 2017-11-28 Jo Bovy , Daisuke Kawata , Jason A. S. Hunt

In this study we present a simple model of elliptical galaxies aimed at interpreting the gradients in colours and narrow band indices observed across these systems. Salient features of the model are the gradients in mass density and star…

Astrophysics · Physics 2007-05-23 R. Tantalo , C. Chiosi , A. Bressan , P. Marigo , L. Portinari

We have performed Smoothed Particle Hydrodynamic (SPH) simulations to study the response of molecular clouds in the Galactic disk to a rotating bar and their subsequent evolution in the Galactic Center (GC) region. The Galactic potential in…

Astrophysics · Physics 2009-10-31 C. W. Lee , H. M. Lee , H. B. Ann , K. H. Kwon

Sensitivity analysis in chaotic dynamical systems is a challenging task from a computational point of view. In this work, we present a numerical investigation of a novel approach, known as the space-split sensitivity or S3 algorithm. The S3…

Chaotic Dynamics · Physics 2021-01-22 Adam A. Sliwiak , Nisha Chandramoorthy , Qiqi Wang

Globular clusters (GCs) exhibit varying degrees of flattening (ellipticity), which may provide insight into their internal dynamics and evolution histories. Commonly used methods to measure ellipticity, such as ellipse fitting of density…

Astrophysics of Galaxies · Physics 2026-04-22 Laurane Fréour , Ellen Leitinger , Elena Pancino , Alice Zocchi , Glenn van de Ven

We introduce a novel procedure that, given sparse data generated from a stationary deterministic nonlinear dynamical system, can characterize specific local and/or global dynamic behavior with rigorous probability guarantees. More…

Dynamical Systems · Mathematics 2023-09-19 Bogdan Batko , Marcio Gameiro , Ying Hung , William Kalies , Konstantin Mischaikow , Ewerton Vieira

Galaxy dynamics probes weak gravity at accelerations below the de Sitter scale of acceleration $a_{dS}=cH$, where $c$ is the velocity of light and $H$ is the Hubble parameter. Low and high redshift galaxies hereby offer a novel probe of…

Astrophysics of Galaxies · Physics 2017-10-18 Maurice H. P. M. van Putten

Piecewise smooth maps are known to exhibit a wide range of dynamical features including numerous types of periodic orbits. Predicting regions in parameter space where such periodic orbits might occur and determining their stability is…

Dynamical Systems · Mathematics 2016-07-07 Arindam Saha , Soumitro Banerjee

New mass estimates and cumulative mass profiles with Bayesian credible regions (c.r.) for the Milky Way (MW) are found using the Galactic Mass Estimator (GME) code and dwarf galaxy (DG) kinematic data from multiple sources. GME takes a…

Astrophysics of Galaxies · Physics 2022-01-26 Anika Slizewski , Xander Dufresne , Keslen Murdock , Gwendolyn Eadie , Robyn Sanderson , Andrew Wetzel , Mario Juric

We study the kinematics of stellar disc populations within the solar neighbourhood in order to find the imprints of the Galactic bar. We carry out the analysis by developing a numerical resolution of the 2D2V Collisionless Boltzmann…

Astrophysics of Galaxies · Physics 2018-05-16 Olivier Bienaymé

The relation between the elastic wave equation for plane, isotropic bodies and an underlying classical ray dynamics is investigated. We study in particular the eigenfrequencies of an elastic disc with free boundaries and their connection to…

Chaotic Dynamics · Physics 2009-11-07 Niels Sondergaard , Gregor Tanner

The GAIA satellite will provide unprecedented phase-space information for our Galaxy and enable a new era of Galactic dynamics. We may soon see successful realizations of Galactoseismology, i.e., inferring the characteristics of the…

Astrophysics of Galaxies · Physics 2017-03-29 Sukanya Chakrabarti