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首页> 外文期刊>Physics of plasmas >A self-consistent three-wave coupling model with complex linear frequencies
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A self-consistent three-wave coupling model with complex linear frequencies

机译：具有复杂线性频率的自洽三波耦合模型

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摘要

A three-wave coupling model with complex linear frequencies is investigated for the nonlinear interaction in a triad that has linearly unstable and stable modes. Time scales associated with linear and nonlinear physics are identified and compared with features of the frequency spectrum. From appropriate time scales, the frequency spectra are well characterized even in the transition to the steady state. The nonlinear time scales that best match spectral features are the nonlinear frequency of the fixed point and a frequency that depends on the amplitude displacement from the fixed point through the large-amplitude Jacobian elliptic solution. Two limited efforts to model the effect of other triads suggest robustness in the single triad results.
机译：研究了具有复杂线性频率的三波耦合模型，以研究具有线性不稳定和稳定模式的三重轴中的非线性相互作用。确定与线性和非线性物理学相关的时间标度，并将其与频谱特征进行比较。从适当的时标，即使在过渡到稳态时，也能很好地表征频谱。与频谱特征最匹配的非线性时间标度是固定点的非线性频率和取决于固定点到大振幅雅可比椭圆解的振幅位移的频率。对其他三合会的效果进行建模的两次有限努力表明，单个三合会结果具有鲁棒性。

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