Memristors have been extensively studied for,data storage and low-power computation applications. In this: study, we show that memristors offer more than simple resistance change. Specifically; the dynamic evolutions of internal state variables allow an oxide:based memristor to exhibit Ca2+-like dynamics that natively encode timing information and regulate synaptic weights. Such a device can be modeled as a, second-order memristor and allow the implementation of critical Synaptic functions realistically using simple spike forms based solely,on spike activity.