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We present a study of the spiral responses in a stable disc galaxy model to co-orbiting perturbing masses that are evenly spaced around rings. The amplitudes of the responses, or wakes, are proportional to the masses of the perturbations,…

Astrophysics of Galaxies · Physics 2021-09-01 J. A. Sellwood , R. G. Carlberg

Spiral waves in active media react to small perturbations as particle-like objects. Here we apply the asymptotic theory to the interaction of spiral waves with a localized inhomogeneity, which leads to a novel prediction: drift of the…

Pattern Formation and Solitons · Physics 2010-01-25 V. N. Biktashev , D. Barkley , I. V. Biktasheva

Ballistic spin transport through waveguides, with symmetric or asymmetric double stubs attached to them periodically, is studied systematically in the presence of a weak spin-orbit coupling that makes the electrons precess. By an…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 X. F. Wang , P. Vasilopoulos , F. M. Peeters

Longslit spectroscopy is entering an era of increased spatial and spectral resolution and increased sample size. Improved instruments reveal complex velocity structure that cannot be described with a one-dimensional rotation curve, yet…

The vibro-impact capsule system is a self-propelled mechanism that has abundant coexisting attractors and moves rectilinearly under periodic excitation when overcoming environmental resistance. In this paper, we study the control of…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Zhi Zhang , Joseph Páez Chávez , Jan Sieber , Yang Liu

A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behaviour is affected by the layer geometry. We identify the effect of sharp variations of the layer thickness, which is separate from filament…

Pattern Formation and Solitons · Physics 2015-02-13 I. V. Biktasheva , H. Dierckx , V. N. Biktashev

Solutions of the general cubic complex Ginzburg-Landau equation comprising multiple spiral waves are considered. For parameters close to the vortex limit, and for a system of spiral waves with well-separated centres, laws of motion of the…

Pattern Formation and Solitons · Physics 2015-05-13 M. Aguareles , S. J. Chapman

A spiral wave is a macroscopic dynamic of excitable media that plays an important role in several distinct systems, including the Belousov-Zhabotinsky reaction, seizures in the brain, and lethal arrhythmia in the heart. Because spiral wave…

Pattern Formation and Solitons · Physics 2018-02-02 Hiroshi Ashikaga , Ryan G. James

Scroll waves are three-dimensional excitation patterns that rotate around a central filament curve; they occur in many physical, biological and chemical systems. We explicitly derive the equations of motion for scroll wave filaments in…

Soft Condensed Matter · Physics 2014-08-20 Hans Dierckx , Henri Verschelde

Rotating spiral waves with a central core composed of phase-randomized oscillators can arise in reaction-diffusion systems if some of the chemical components involved are diffusion-free. This peculiar phenomenon is demonstrated for a…

Pattern Formation and Solitons · Physics 2009-11-10 Shin-ichiro Shima , Yoshiki Kuramoto

Spiral wave propagation in period-2 excitable media is often accompanied by line-defects, the locus of points with period-1 oscillations. Here we investigate spiral line-defects in cardiac tissue where period-2 behavior has a known…

Tissues and Organs · Quantitative Biology 2009-11-13 Juan G. Restrepo , Alain Karma

The exact pole placement problem concerns computing a feedback gain that will assign the poles of a system, controlled via static state feedback, at a set of pre-specified locations. This is a classic problem in feedback control and…

Optimization and Control · Mathematics 2023-03-22 Gianluca Bianchin

An exact channel impulse response (CIR) for the three-dimensional point-to-sphere absorbing channel under drift has remained unavailable due to symmetry breaking. This letter closes this gap by deriving an exact analytical CIR for a fully…

Information Theory · Computer Science 2026-03-05 Yen-Chi Lee , Ping-Cheng Yeh , Chia-Han Lee

When propagated action potentials in cardiac tissue interact with local heterogeneities, reflected waves can sometimes be induced. These reflected waves have been associated with the onset of cardiac arrhythmias, and while their generation…

Dynamical Systems · Mathematics 2021-06-08 Stephanie Dodson , Timothy J. Lewis

Rotating spiral waves are a form of self-organization observed in spatially extended systems of physical, chemical, and biological nature. A small perturbation causes gradual change in spatial location of spiral's rotation center and…

Pattern Formation and Solitons · Physics 2015-05-13 I. V. Biktasheva , D. Barkley , V. N. Biktashev , G. V. Bordyugov , A. J. Foulkes

We investigate the creation and control of emergent collective behavior and quantum correlations using feedback in an emitter-waveguide system using a minimal model. Employing homodyne detection of photons emitted from a laser-driven…

Quantum Physics · Physics 2021-09-29 Giuseppe Buonaiuto , Federico Carollo , Beatriz Olmos , Igor Lesanovsky

Liquid films on moving substrates are used in dip-coating processes to form uniform protective layers. Controlling free-surface waves is essential due to the film's inherent linear instability. Therefore, we develop a linear feedback…

Fluid Dynamics · Physics 2026-04-28 Fabio Pino , Benoit Scheid , Miguel A. Mendez , Demetrios T. Papageorgiou

The objective of this paper is to draw attention to a possible new approach for measuring the spin excitation spectrum of a spin array by placing it in intimate contact with the channel of a spin-valve device in an anti-parallel (AP)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Sayeef Salahuddin , Supriyo Datta

In this paper it is established that any jointly controllable, jointly observable, multi-channel, discrete or continuous time linear system with a strongly connected neighbor (communication) graph can be exponentially stabilized with any…

Systems and Control · Electrical Eng. & Systems 2022-12-02 Fengjiao Liu , Lili Wang , Daniel Fullmer , A. Stephen Morse

The rate of internally-driven evolution of galaxy discs is strongly affected by the lifetimes of the spiral patterns they support. Evolution is much faster if the spiral patterns are recurrent short-lived transients rather than long-lived,…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 J. A. Sellwood