一维忆阻网络开关同步的精确解
Switching synchronization in 1-D memristive networks: An exact solution
摘要：
研究了一维忆阻网络中忆阻器从高阻态到低阻态的切换同步现象。假设忆阻器的阈值电压和开关速率的分布是任意的。使用拉普拉斯变换，一组描述忆阻器动态的非线性方程被精确地求解，而没有任何近似。发现忆阻器的时间依赖性，并且示出忆阻器两端的电压降与它们的阈值电压成比例。推导出了网络切换时间的简洁表达式。
英文摘要：
We study a switching synchronization phenomenon taking place in one-dimensional memristive networks when the memristors switch from the high to low resistance state. It is assumed that the distributions of threshold voltages and switching rates of memristors are arbitrary. Using the Laplace transform, a set of non-linear equations describing the memristors dynamics is solved exactly, without any approximations. The time dependencies of memristances are found and it is shown that the voltage falls across memristors are proportional to their threshold voltages. A compact expression for the network switching time is derived.
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