As conventional computing systems are striving to increase their performance in order to compensate for the growing demand of solving difficult problems, emergent and unconventional computing approaches are being developed to provide alternatives on efficiently solving a plethora of those complex problems. Chemical computers which use chemical reactions as their main characteristic can be strong candidates for these new approaches. Oscillating networks of novel nano-devices like memristors are also able to perform calculations with their rich dynamics and their strong memory and computing features. In this work, the combination of the aforementioned approaches is achieved that capitalizes on the threshold switching mechanism of low-voltage CBRAM devices to establish a memristive oscillating circuitry that is able to act as a chemical reaction - diffusion system through the network nodes' interactions. The propagation of the voltage signals throughout the medium can be used to establish a mechanism for specific logic operations according to the desired logic function leading to the nano-implementation of Margolus chemical wave logic gate.