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Quantum coupled oscillators versus forced oscillator

Journal of Optics B: Quantum and Semiclassical Optics, 2001
We compare the time evolutions of two quantum systems: a quantum harmonic oscillator driven by a classical force and two coupled quantum harmonic oscillators. We find the conditions under which the first system can be considered as a `mean-field approximation' to the second one.
A S M de Castro, V V Dodonov
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Forced Oscillation Technique

2014
Forced oscillation technique (FOT) is a noninvasive approach for assessing the mechanical properties of the respiratory system. The technique is based on applying a low-amplitude pressure oscillation to the airway opening and computing respiratory impedance defined as the complex ratio of oscillatory pressure and flow. Impedance data are interpreted in
Daniel Navajas   +2 more
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External noise synchronizes forced oscillators

Physical Review E, 2001
Periodic pulsatile perturbation of nonlinear oscillators generates phase-locking, quasiperiodic, and chaotic responses. This work shows that the application of external noise to ensembles of such forced systems can synchronize oscillations, even in regimes where neither the noise nor the periodic forcing, when applied alone, would lead to such a ...
K, Pakdaman, D, Mestivier
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Forced oscillations of DNA bases

Biophysics, 2016
This paper presents the results of the studying of forced angular oscillations of the DNA bases with the help of the mathematical model consisting of two coupled nonlinear differential equations that take into account the effects of dissipation and the influence of an external periodic field. The calculation results are illustrated for sequence of gene
L V, Yakushevich, L A, Krasnobaeva
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Forced oscillation experiments

Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1991
Forced oscillation experiments with scale models are carried out to determine hydrodynamic characteristics of ships, with respect to motions in waves or steering and manoeuvring qualities. Depending on the considered motion components, in a horizontal or vertical plane, various methods are used to induce forced oscillations which are discussed briefly.
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Forced oscillations of a self-oscillating surface reaction

Physical Review Letters, 1988
Oxydation catalytique de CO sur une face (110) de Pt, sous des conditions permettant une cinetique oscillante stable autoentretenue.
, Eiswirth, , Ertl
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BISTABILITY OF HARMONICALLY FORCED RELAXATION OSCILLATIONS

International Journal of Bifurcation and Chaos, 2002
Relaxation oscillations appear in processes which involve transitions between two states characterized by fast and slow time scales. When a relaxation oscillator is coupled to an external periodic force its entrainment by the force results in a response which can include multiple periodicities and bistability.
Phillipson, Paul E., Schuster, Peter
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Clinical Application of Forced Oscillation

Pulmonary Pharmacology & Therapeutics, 2001
This review summarizes current clinical use of the forced oscillation technique (FOT) for analysis of lung function. It presents an intuitive approach to FOT pattern recognition for interpretation of results in human subjects, and the view that FOT is now well established and, clinically, eminently useful in patients with airflow obstruction. The focus
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Forced Oscillations of Extensible Beams

SIAM Journal on Mathematical Analysis, 1985
The oscillatory behaviour of solutions of the equation \[ \frac{\partial^ 2u}{\partial t^ 2}+\alpha \frac{\partial^ 4u}{\partial x^ 4}-(\beta -\gamma \int^{L}_{0}(\frac{\partial u(\xi,t)}{\partial \xi})^ 2 d\xi)\frac{\partial^ 2u}{\partial x^ 2}+c(x,t,u)=f(x,t) \] ((x,t)\(\in (0,L)\times (0,\infty))\) is studied.
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Second Order Nonlinear Forced Oscillations

SIAM Journal on Mathematical Analysis, 1988
The author considers the following nonlinear differential equation (1) \(x''+a(t)f(x)=g(t),\) \(t\in [0,\infty)\), where a,g are real piecewise continuous functions on \([0,\infty)\); f is continuous and nondecreasing function in \((-\infty,\infty)\); \(xf(x)>0\) for \(x\neq 0\); \(h\in C^ 2[0,\infty)\), \(h''(t)=g(t)\) and that h(t) is oscillatory ...
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