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Analysis of parametric resonance in magnetohydrodynamics

European Journal of Mechanics - B/Fluids, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bifurcational Aspects of Parametric Resonance

1992
Generic nonlinear oscillators with parametric forcing are considered near resonance. This can be seen as a case-study in the bifurcation theory of Hamiltonian systems with or without certain discrete symmetries. In the analysis, among other things, structure preserving normal form or averaging techniques are used, as well as equivariant singularity ...
Broer, Hendrik, Vegter, Gert
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On a parametric resonance problem

Proceedings. 2005 International Conference Physics and Control, 2005., 2006
In the paper a problem of finding instability domains of a rotating system with periodically varying moment of inertia is considered. An equation describing small torsional oscillations of the system with periodic coefficients dependent on four parameters including damping is derived.
A.P. Seyranian, C. Cattani
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Combination Parametric Resonance of Nonlinear Unbalanced Rotating Shafts

Journal of Computational and Nonlinear Dynamics, 2018
In this paper, dynamic response of a rotating shaft with geometrical nonlinearity under parametric and external excitations is investigated. Resonances, bifurcations, and stability of the response are analyzed.
M. Qaderi, S. Hosseini, M. Zamanian
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A parametric resonance in semiconductors

Solid State Communications, 1981
Abstract A parametric instability and its associated negative electromagnetic absorption have been predicted for semiconductors. The stabilizing mechanism and the resonance line form have been analyzed.
I.E. Aronov, E.A. Kaner, A.A. Slutskin
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Parametric Resonance of a Three-Layered Cylindrical Composite Rib-Stiffened Shell*

Mechanics of composite materials, 2021
V. Bakulin, D. A. Boitsova, A. Y. Nedbai
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The swing: Parametric resonance

Journal of Applied Mathematics and Mechanics, 2004
The instability of oscillations of a weightless rod with a concentrated mass, sliding periodically along the rod axis is investigated. This is the simplest model of a child's swing. The amplitude of the displacement of the mass and viscous friction, due to the air resistance, are assumed to small, while the periodic excitation function is arbitrary ...
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Parametric resonance in the laser

Physics Letters A, 1979
Abstract The response of the single mode operating laser to the weak nonresonant field is investigated. It is found that at a certain frequency of the applied field its superposition with the response field results in amplification of the applied field.
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Parametric and autoparametric resonance

1996
Parametric resonance may arise in a mechanical system, the Excited System, in which one of the forces is varying periodically. The classical example is a pendulum with a suspension point which moves harmonically in the vertical direction. We shall discuss a fairly general one degree of freedom, parametrically excited system in section 2. This system is
M. Ruijgrok, F. Verhulst
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