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We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom. We develop a stability theory for a class of partitioned linear systems with symmetries that has…

Optimization and Control · Mathematics 2020-11-12 Taouba Jouini , Florian Dörfler

When an integrable two-degrees-of-freedom Hamiltonian system possessing a circle of parabolic fixed points is perturbed, a parabolic resonance occurs. It is proved that its occurrence is generic for one parameter families (co-dimension one…

Dynamical Systems · Mathematics 2018-04-18 Vered Rom-Kedar

A damped driven pendulum with a magnetic driving force, appearing from a solenoid, where ac current flows is considered. The solenoid acts on the magnet, which is located at the free end of the pendulum. In this system, the existence and…

Classical Physics · Physics 2016-08-08 Giorgi Khomeriki

The effect on parametric instability growth of pump wave incoherence is treated by deriving a set of equations governing the space-time evolution of the ensemble-average coupled-mode amplitudes and intensities. Particular attention is paid…

Plasma Physics · Physics 2007-10-12 D. Pesme , R. L. Berger , E. A. Williams , A. Bourdier , A. Bortuzzo-Lesne

It was shown previously that the current-carrying state of a Field Effect Transistor with asymmetric source and drain boundary conditions may become unstable against spontaneous generation of plasma waves [1]. By extending the analysis to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. I. Dyakonov

We investigate the cosmological stability of light bosonic dark matter carrying a tiny electric charge. In the wave-like regime of high occupation numbers, annihilation into gauge bosons can be drastically enhanced by parametric resonance.…

High Energy Physics - Phenomenology · Physics 2021-05-26 Joerg Jaeckel , Sebastian Schenk

Joint influence of two effects, namely, nonequilibrium spin injection by current, and current induced surface torque, on spin-valve type ferromagnetic metallic junctions is considered theoretically. The CPP configuration is assumed. The…

Materials Science · Physics 2007-05-23 R. J. Elliott , E. M. Epshtein , Yu. V. Gulyaev , P. E. Zilberman

The current filamentation instability, which generically arises in the counterstreaming of supersonic plasma flows, is known for its ability to convert the free energy associated with anisotropic momentum distributions into kinetic-scale…

Plasma Physics · Physics 2022-03-14 Virginia Bresci , Laurent Gremillet , Martin Lemoine

In the framework of phenomenological model we consider dynamics of a compensated collinear antiferromagnet (AFM) in the presence of spin-polarised current. The model is based on the assumption that AFM spins are localised and spin torque is…

Materials Science · Physics 2010-03-16 H. Gomonay , V. Loktev

Composite hadronic states exhibit interesting properties in the presence of very intense magnetic fields, such as those conjectured to exist in the vicinity of certain astrophysical objects. We discuss three scenarios. (i) The presence of…

High Energy Physics - Phenomenology · Physics 2009-10-22 Myron Bander , Hector Rubinstein

Stacks of intrinsic Josephson junctions in the resistive state can by efficiently synchronized by the internal cavity mode resonantly excited by the Josephson oscillations. We study the stability of dynamic coherent states near the…

Superconductivity · Physics 2011-04-05 A. E. Koshelev

Stability properties of magnetic-field configurations containing the toroidal and axial field are considered. The stability is treated by making use of linear analysis. It is shown that the conditions required for the onset of instability…

Astrophysics · Physics 2009-11-13 Alfio Bonanno , Vadim Urpin

This paper studies stability analysis of DC microgrids with uncertain constant power loads (CPLs). It is well known that CPLs have negative impedance effects, which may cause instability in a DC microgrid. Existing works often study the…

Optimization and Control · Mathematics 2017-02-27 Jianzhe Liu , Wei Zhang , Giorgio Rizzoni

We present a simple feedback description of parametric instabilities which can be applied to a variety of optical systems. Parametric instabilities are of particular interest to the field of gravitational-wave interferometry where high…

General Relativity and Quantum Cosmology · Physics 2010-02-10 M. Evans , L. Barsotti , P. Fritschel

A detailed simulation of Advanced LIGO test mass optical cavities shows that parametric instabilities will excite acoustic modes in the test masses in the frequency range 28-35 kHz and 64-72 kHz. Using nominal Advanced LIGO optical cavity…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Zhao , L. Ju , J. Degallaix , S. Gras , D. G. Blair

We study the modulational instability induced by periodic variations of group-velocity dispersion and nonlinear coefficients in a highly birefringent fiber. We observe, for each resonance order, the presence of two pairs of genuine vector…

Optics · Physics 2017-07-27 Andrea Armaroli , Fabio Biancalana

We investigate the classical problem of motion of a mathematical pendulum with an oscillating pivot. This simple mechanical setting is frequently used as the prime example of a system exhibiting the parametric resonance phenomenon, which…

Dynamical Systems · Mathematics 2021-12-30 Dalibor Pražák , Vít Průša , Karel Tůma

We investigate the stability of a rectangular Josephson vortex lattice in a stack of two long Josephson junctions. It is shown that in an infinite stack at low velocities the lattice is unstable with respect to triangular vortex lattice…

Superconductivity · Physics 2007-05-23 A. V. Chiguinev , V. V. Kurin

In this paper, we show that the quasi-one-dimensional flow of an ideal inviscid fluid in a corrugated pipe is parametrically unstable in certain frequency bands. First-order perturbation theory is used to analyze the stability of the flow,…

Fluid Dynamics · Physics 2021-02-09 Nikita V. Bykov

We study the dynamics of a Josephson junction connected to a dc current supply via a distributed parameter capacitor, which serves as a resonator. We reveal multistability in the current-voltage characteristic of the system; this…

Pattern Formation and Solitons · Physics 2018-02-07 Denis S. Goldobin , Lyudmila S. Klimenko