Neural field theory of the corticothalamic system is used to analyze nonlinear wave-wave interactions in steady state visual evoked potential responses. The nonlinear power spectrum is analytically calculated by convolving the linear power spectrum with itself and other factors. Periodic sine and square wave stimuli are used to generate steady state visual evoked potential responses and to study stimulus-driven nonlinear corticothalamic dynamic interactions. Moreover, we use dual sine drives to analyze the driven dynamics. Numerical analysis shows that the nonlinear power spectrum embodies key nonlinear features, including harmonic and subharmonic generation, entrainment of the alpha rhythm to periodic stimuli at the drive frequency, sum and difference frequencies due to wave-wave coalescence and decay. Further, the scaling properties of the key phenomena observed in nonlinear interactions are studied, verifying some of the theoretical predictions for these being generated by three-wave processes.

中文翻译：

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大脑中的非线性波波相互作用。

皮层神经系统的神经场理论用于分析稳态视觉诱发电位响应中的非线性波-波相互作用。非线性功率谱是通过将线性功率谱与其自身和其他因素进行卷积来分析计算的。周期性正弦波和方波刺激用于生成稳态视觉诱发电位响应，并研究刺激驱动的非线性皮层-丘脑动态相互作用。此外，我们使用双正弦驱动器来分析驱动动力学。数值分析表明，非线性功率谱体现了关键的非线性特征，包括谐波和次谐波的产生，在驱动频率上夹带α节律到周期性刺激，由于波-波合并和衰减而引起的总和和差频率。进一步，