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We present an extension of Willems' Fundamental Lemma to the class of multi-input multi-output discrete-time feedback linearizable nonlinear systems, thus providing a data-based representation of their input-output trajectories. Two sources…

Optimization and Control · Mathematics 2023-03-17 Mohammad Alsalti , Victor G. Lopez , Julian Berberich , Frank Allgöwer , Matthias A. Müller

Control laws for continuous-time dynamical systems are most often implemented via digital controllers using a sample-and-hold technique. Numerical discretization of the continuous system is an integral part of subsequent analysis. Feedback…

Systems and Control · Electrical Eng. & Systems 2023-09-28 Ashutosh Jindal , Ravi Banavar , David Martin Diego

We consider a differentially rotating, 2D stellar disk perturbed by two steady state spiral density waves moving at different patterns speeds. Our investigation is based on direct numerical integration of initially circular test-particle…

Astrophysics · Physics 2008-11-26 I. Minchev , A. C. Quillen

The absorption of traveling photons resonant with electric dipole transitions of an atomic gas naturally leads to electric dipole spin wave excitations. For a number of applications, it would be highly desirable to shape and coherently…

Atomic Physics · Physics 2021-01-04 Yizun He , Lingjing Ji , Yuzhuo Wang , Liyang Qiu , Jian Zhao , Yudi Ma , Xing Huang , Saijun Wu , Darrick E. Chang

We present a linear model, which mimics the response of a spatially extended dissipative medium to a distant perturbation, and investigate its dynamics under delayed feedback control. The time a perturbation needs to propagate to a…

Adaptation and Self-Organizing Systems · Physics 2018-11-08 Josua Grawitter , Reinier van Buel , Christian Schaaf , Holger Stark

The nonlinear dynamic behavior of a magnetic skyrmion in circular nanodots was studied numerically by solving the Landau-Lifshitz-Gilbert equation with a classical spin model. We show that a skyrmion core reversal can be achieved within…

Mesoscale and Nanoscale Physics · Physics 2015-03-11 Bin Zhang , Weiwei Wang , Marijan Beg , Hans Fangohr , Wolfgang Kuch

A full linear stability of a straight scroll wave in an excitable medium is presented. The five eigenmode branches which correspond to deformation in the third dimension of the five main modes of two-dimensional (2D) spiral dynamics are…

Pattern Formation and Solitons · Physics 2009-10-31 H. Henry , V. Hakim

We investigate a control technique for spatially extended systems combining spatial filtering with a previously studied form of time-delay feedback. The scheme is naturally suited to real-time control of optical systems. We apply the…

We investigate the dynamics of two coupled vortices driven by spin transfer. We are able to independently control with current and perpendicular field, and to detect, the respective chiralities and polarities of the two vortices. For…

Materials Science · Physics 2015-05-18 N. Locatelli , V. V. Naletov , J. Grollier , G. de Loubens , V. Cros , C. Deranlot , C. Ulysse , G. Faini , O. Klein , A. Fert

The ability to manipulate coherently individual quantum objects organized in arrays is a prerequisite to any scalable quantum information platform. For electron spin qubits, it requires the fine tuning of large arrays of tunnel-coupled…

Two-level quantum systems with strong spin-orbit coupling allow for all-electrical qubit control and long-distance qubit coupling via microwave and phonon cavities, making them of particular interest for scalable quantum information…

Mesoscale and Nanoscale Physics · Physics 2019-01-11 J. van der Heijden , T. Kobayashi , M. G. House , J. Salfi , S. Barraud , R. Lavieville , M. Y. Simmons , S. Rogge

Two different controlling methods are proposed to stabilize unstable continuous-sliding states of a dry-friction oscillator. Both methods are based on a delayed-feedback mechanism well-known for stabilizing periodic orbits in deterministic…

chao-dyn · Physics 2009-10-30 Franz-Josef Elmer

Experiments in coherent spectroscopy correspond to control of quantum mechanical ensembles guiding them from initial to final target states by unitary transformations. The control inputs (pulse sequences) that accomplish these unitary…

Quantum Physics · Physics 2007-05-23 Navin Khaneja , Steffen Glaser

We study existence, asymptotics, and stability of spiral waves in a driven curvature approximation, supplemented with an anchoring condition on a circle of finite radius. We analyze the motion of curves written as graphs in polar…

Pattern Formation and Solitons · Physics 2024-02-16 Nan Li , Arnd Scheel

Feedback traps use closed-loop control to trap or manipulate small particles and molecules in solution. They have been applied to the measurement of physical and chemical properties of particles and to explore fundamental questions in the…

Instrumentation and Detectors · Physics 2015-04-02 Momčilo Gavrilov , Yonggun Jun , John Bechhoefer

Excitable media are systems which are at rest in the absence of external input but which respond to a sufficiently strong stimulus by sending a wave of "excitation" across the medium. Examples include cardiac and cortical tissue, and in…

Quantitative Methods · Quantitative Biology 2021-01-01 S. P. Hastings , M. M Sussman

Two dimensional SPH simulations of a precessing accretion disc in a q=0.1 binary system (such as XTE J1118+480) reveal complex and continuously varying shape, kinematics, and dissipation. The stream-disc impact region and disc spiral…

Astrophysics · Physics 2009-11-10 S. B. Foulkes , C. A. Haswell , J. R. Murray , D. J. Rolfe

We consider linear feedback flow control of the largest scales in an incompressible turbulent channel flow at a friction Reynolds number of Re$_{\tau}$ = 2000. A linear model is formed by linearizing the Navier-Stokes equations about the…

Fluid Dynamics · Physics 2020-10-20 Stephan F. Oehler , Simon J. Illingworth

Pattern formation in ultra-cold quantum systems has recently received a great deal of attention.In this work, we investigate a two-dimensional model system accounting for the dynamics of trapped ions. We find a novel spiral wave which is…

Chaotic Dynamics · Physics 2015-05-30 Yuting Li , Haihong Li , Yun Zhu , Mei Zhang , Junzhong Yang

Excitable systems can exhibit a variety of dynamics with different complexity, ranging from a single, stable spiral to spiral defect chaos (SDC), during which spiral waves are continuously formed and destroyed. The corresponding…

Biological Physics · Physics 2024-09-20 Mahesh Kumar Mulimani , Sebastian Echeverria-Alar , Michael Reiss , Wouter-Jan Rappel