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In this review, I discuss just three aspects of the stability and evolution of galactic discs. (1) I first review our understanding of the bar instability and how it can be controlled. Disc galaxies in which the orbital speed does not…

Astrophysics · Physics 2007-05-23 J. A. Sellwood

We explore the dynamics of active elements performing persistent random motion with fluctuating active speed and in the presence of translational noise in a $d$-dimensional harmonic trap, modeling active speed generation through an…

Statistical Mechanics · Physics 2025-02-18 Manish Patel , Amir Shee , Debasish Chaudhuri

We extend the evolution mapping approach, originally proposed by Sanchez (2022) to describe non-linear matter density fluctuations, to statistics of the cosmic velocity field. This framework classifies cosmological parameters into shape…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-15 Matteo Esposito , Ariel G. Sánchez , Julien Bel , Andrés N. Ruiz

We consider a dynamic method, based on synchronization and adaptive control, to estimate unknown parameters of a nonlinear dynamical system from a given scalar chaotic time series. We present an important extension of the method when time…

Chaotic Dynamics · Physics 2009-10-31 Anil Maybhate , R. E. Amritkar

We present a new, simple, fast algorithm to numerically evolve disks of inelastically colliding particles surrounding a central star. Our algorithm adds negligible computational cost to the fastest existing collisionless N-body codes, and…

Astrophysics · Physics 2008-11-26 Yoram Lithwick , Eugene Chiang

We present an approach for the detection of sharp change points (short-lived and persistent) in nonlinear and nonstationary dynamic systems under high levels of noise by tracking the local phase and amplitude synchronization among the…

Data Analysis, Statistics and Probability · Physics 2020-08-04 Ashif Sikandar Iquebal , Satish Bukkapatnam , Arun Srinivasa

The morphology of a disk galaxy is closely linked to its kinematic state. This is because density wave features are likely made of spontaneously-formed modes which are allowed to arise in the galactic resonant cavity of a particular basic…

Astrophysics · Physics 2008-12-17 R. Buta , X. Zhang

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

We simulate the observations of proper motion of stars very close to the Galactic Center. We show that the speckle interferometry done with the Keck II telescope is accurate enough to obtain orbital parameters for stars with the period P…

Astrophysics · Physics 2009-10-31 M. Jaroszynski

One calls attention to the fact that the stochastic physical systems are not random completely. They have both random and regular components of their evolution. Dynamic system is considered to be a special case of physical system with…

General Physics · Physics 2007-05-23 Yuri A. Rylov

We use a composite gravitational galactic model consisting of a disk, a halo, a massive nucleus and a strong nuclear bar, in order to study the connections between global and local parameters in a realistic dynamical system. The local model…

Astrophysics of Galaxies · Physics 2012-05-01 Euaggelos E. Zotos

We investigate a model of high-dimensional dynamical variables with all-to-all interactions that are random and non-reciprocal. We characterize its phase diagram and show that the model can exhibit chaotic dynamics. We show that the…

Disordered Systems and Neural Networks · Physics 2025-12-15 Samantha J. Fournier , Alessandro Pacco , Valentina Ros , Pierfrancesco Urbani

We study the effect of quenched disorder on nonequilibrium systems of interacting particles, specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady-state measure is found for a class of models…

Disordered Systems and Neural Networks · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

Many extrasolar systems possessing planets in mean-motion resonance or resonant chain have been discovered to date. The transit method coupled with transit timing variation analysis provides an insight into the physical and orbital…

Earth and Planetary Astrophysics · Physics 2020-08-19 Kyriaki I. Antoniadou , Anne-Sophie Libert

The dynamical properties of a particle in a gravitational field colliding with a rigid wall moving with piecewise constant velocity are studied. The linear nature of the wall's motion permits further analytical investigation than is…

Chaotic Dynamics · Physics 2014-12-02 Cameron K. Langer , Bruce N. Miller

The cloud of cold atoms obtained from a magneto-optical trap is known to exhibit two types of instabilities in the regime of high atomic densities: stochastic instabilities and deterministic instabilities. In the present paper, the…

Atomic Physics · Physics 2009-11-10 Daniel Hennequin

Symplectic mappings of the plane serve as key models for exploring the fundamental nature of complex behavior in nonlinear systems. Central to this exploration is the effective visualization of stability regimes, which enables the…

Chaotic Dynamics · Physics 2025-07-15 Tim Zolkin , Sergei Nagaitsev , Ivan Morozov , Sergei Kladov , Young-Kee Kim

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

New observational facilities are beginning to enable insights into the three-dimensional (3D) nature of exoplanets. Transmission spectroscopy is the most widely used method for characterizing transiting temperate exoplanet's atmospheres,…

Earth and Planetary Astrophysics · Physics 2025-04-24 Nicholas Scarsdale , C. E. Harman , Thomas J. Fauchez

The gravitational three-body problem is a fundamental problem in physics and has significant applications to astronomy. Three-body configurations are often considered stable as long the system is hierarchical; that is, the two orbital…

Astrophysics of Galaxies · Physics 2023-07-26 Eric Zhang , Smadar Naoz , Clifford M. Will