Abstract
Numerous publications on non-volatile memristors made from disparate materials (from inorganic to organic) share many qualitatively similar memory switching and unique v–i phenomena that have hitherto defied a unified physical explanation. This paper selects five, among many, such unexplained mysteries and presents rigorous mathematical proof of the nonlinear dynamical mechanisms responsible for these mysteries. Since no quantum mechanical or chemical concepts are invoked, our resolution of these enigmas does not depend on the material or structure of the memristors.
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