Duffing oscillator
Period-doubling bifurcation tracking for the Harmonic Balance Method: application to a Duffing oscillator with asymmetric clearances
... case: Duffing oscillator with asymmetric clearances The system under study is the same as that in [4], an experimental apparatus available at CEA ...damped, Duffing oscillator plus a ...
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Noise-induced reentrant transition of the stochastic Duffing oscillator of the stochastic Duffing oscillator
... old. This multifractal behaviour may provide a generic criterion to distinguish noise-induced transitions from or- dinary deterministic bifurcations. In the present work, we reformulate the stochastic sta- bilisation of ...
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On the perturbations theory of the Duffing oscillator in a complex domain
... perturbed Duffing oscillator x 00 = x − x 3 is a well known problem extensively studied in the ...perturbed Duffing oscillator presented in the system ( ...
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Duffing oscillator with parametric excitation: analytical and experimental investigation on a belt-pulley system
... Moreover, in the instability zone, the belt exhibits large trans- verse deflection such as a Duffing oscillator with parametric ex- citation. For example, such nonlinear oscillations have been nu- merically ...
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Toward an Optimal Design Procedure of a Nonlinear Vibration Absorber Coupled to a Duffing Oscillator
... Aerospace and Mechanical Engineering Department, University of Li`ege, Li`ege, Belgium e-mail: r.viguie@ulg.ac.be, g.kerschen@ulg.ac.be Abstract In the present study, the focus is set on the development of a design ...
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Stability and bifurcation analysis of a Van der Pol–Duffing oscillator with a nonlinear tuned vibration absorber
... VdPD oscillator using a NLTVA possessing both linear and nonlinear springs and a linear ...VdPD oscillator, ...Pol-Duffing oscillator by the nonlinear component of the ...
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Effects of parametric noise on a nonlinear oscillator
... relevance of the correlation time of the noise was also found in the study of the bifurcation threshold of the Duffing oscillator with multiplicative noise [9]. 4 Conclusion A particle trapped in a ...
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Stability of a nonlinear oscillator with random damping
... γ > ∆ 4 . (17) We find, as usual, that the stable phase is wider than what moments stability predicts. Reverting to the initial vari- ables, we observe that the instability threshold is given by r = D/4 which does not ...
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Anharmonic oscillator driven by additive Ornstein-Uhlenbeck noise
... nonlinear oscillator is a decreasing function of its energy and when the amplitude of the oscillations grows the period eventually becomes shorter than the correlation time of the ...
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Stability and dynamics of a plastic softening oscillator
... Bolotin, V.V., 1963. Nonconservative Problems of the Theory of Elastic Stability. Pergamon Press, New York. Capecchi, D., 1993. Asymptotic motions and stability of the elastoplastic oscillator studied via maps. ...
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A Low Power Cryocooled Autonomous Ultra-Stable Oscillator
... Keywords: Ultra-stable oscillator, Pulse-Tube cryocooler, frequency stability. 1. Introduction The advent of reliable two-stage cryocoolers makes it possible to replace the out-dated liquid helium facilities in ...
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Density for Fermions in an Harmonic Oscillator Potential
... 1) A system of particles interacting via harmonic-oscillator potential can be reduced, to some extent, to a system of independent particles in a potential well [8]. 2) Th[r] ...
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Nonequilibrium stationary states of rotor and oscillator chains
... Le cadre classique d’étude de l’état stationnaire hors-équilibre est celui d’un système en contact avec deux thermostats à températures différentes et idéalement infinis, et isolé partout[r] ...
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Solutions périodiques d'une équation du premier degré avec retard et impulsions et solutions presque périodiques de l'équation de Duffing avec retard et impulsions
... Ce travail est consacre a l'etude de l'existence et de l'unicite des solutions, d'abord periodiques pour une equation periodique de premier degre avec retard et impulsions, ensuite pre[r] ...
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Multistability and localization in forced cyclic symmetric structures modelled by weakly-coupled Duffing oscillators
... In this paper, we study an harmonically forced cyclic and symmetric system made of a chain of Duffing oscillators with weak nearest-neighbour elastic coupling. The system can be seen as a minimal model for several ...
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Canonical forms for perturbations of the harmonic oscillator
... harmonic oscillator by means of Moser averaging ...harmonic oscillator, under certain conditions, and to show that these canonical forms are spectrally ...
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Automatic frequency control for R.D.I. ground beacon oscillator
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Microwave receivers using a superregenerative backward-wave oscillator
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Jamming tests of the "Local Oscillator Off" fix
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Fast equilibrium switch of a micro mechanical oscillator
... micromechanical oscillator in the limit where the relevant description is that provided by the 1D underdamped harmonic oscillator in the presence of thermal ...the oscillator mass and γ the viscous ...
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