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应用行波理论,建立了一个终端含N沟道金属氧化物半导体(N-channel metal oxide semiconductor;NMOS)反相器的传输线系统的非线性离散映射模型.对该模型进行仿真发现,反射系数的变化可能导致系统出现时空分岔和时空混沌等复杂的时空行为,并且初始分布对系统达到稳态后的时空行为有很大影响,零初始分布对应的时空图样比较规则,而非零的初值分布则会导致沿线电压出现复杂的时空图样,分析表明这些时空复杂行为的产生源于系统中传输线的无穷维本质和NMOS反相器的非线性伏安特性.
A nonlinear discrete mapping model of a transmission line system with terminal N-channel metal oxide semiconductor (NMOS) inverters is established by using traveling wave theory. The simulation results show that the reflection coefficient The change may lead to complicated spatiotemporal behaviors such as spatiotemporal bifurcation and spatiotemporal chaos, and the initial distribution has a great influence on the spatiotemporal behavior of the system after the system reaches steady state. The spatiotemporal patterns corresponding to the zero initial distribution are relatively regular, while the non-zero initial values The distribution leads to complex space-time patterns along the line voltage. Analysis shows that these spatiotemporal complex behaviors originate from the infinite dimensional nature of the transmission line in the system and the nonlinear volt-ampere characteristics of the NMOS inverter.