Secondly , we present the set of nonlinear partial differential equations that describes the wave - particle interaction , by analyzing the output power spectrum , the limit cycle and chaotic oscillation of the radiation field in the traveling wave tube ( twt ) amplifier and the magnetically insulated transmission line oscillator ( milo ) are studied numerically , respectively 接着，在论文的第三章和第四章我们从导出了一组用于描述场和电子相互作用的非线性偏微分耦合方程组开始，利用频谱分析法，以行波管( twt )放大器和磁绝缘传输线振荡器( milo )为例，数值研究了o型器件和m型器件中场的极限环振荡和混沌行为。
