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- W1967974795 abstract "Driven stationary Alfvén oscillations in a system with discrete spectrum are considered in the approximation of weak nonlinearity. The correction to the eigenfrequency of small oscillations, proportional to the square of their amplitude, is derived with the help of the perturbative approach. The dependence of the amplitude versus the frequency of the driving force is found to have two bifurcation points at which the amplitude exhibits finite variation under the action of infinitesimal deviation of the driver frequency. It is shown that the bifurcation is possible only when the unstable processes of interaction of the initial standing Alfvén wave with small perturbations are stabilized to the third order in the wave amplitude. Conditions of the stabilization, as a consequence of a finite length of the system or due to dissipation, of three- and four-wave parametric instabilities are discussed." @default.
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- W1967974795 date "1998-01-01" @default.
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- W1967974795 title "Stationary Regimes of Nonlinear Alfvén Oscillations in a Driven System with Discrete Spectrum" @default.
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- W1967974795 doi "https://doi.org/10.1002/ctpp.2150380303" @default.
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