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.
Based on the traveling wave theory, a nonlinear discrete map of a transmission line system terminated by an N-channel metal oxide semiconductor (NMOS) inverter is established. After simulating by the nonlinear discrete map, it is found that the change of the reflection coefficient may lead to spatiotemporal bifurcation and chaos, and that the initial distribution significantly affects the spatiotemporal pattern of steady state. For the zero initial distribution, the spatiotemporal pattern is very regular, whereas the complex spatiotemporal pattern may appear when the initial distribution is nonzero. The analysis results demonstrate that the complex spatiotemporal behaviors originate from the infinite-dimensional essence of the transmission line and the nonlinear voltage-ampere characteristics of the NMOS inverter.