Plenty of unconventional computing techniques aim to compete with, if not outperform, traditional computers in solving high-complexity problems. The classical von Neumann computing architecture depends on centralized and sequential data processing, while biological nervous systems work on principles of distributed, parallel, and event-driven operations. Spiking or oscillation based computing is emerging as a valuable candidate on implementing these principles in circuit level. In this work we are exploiting the unipolar behavior of fabricated CBRAM devices to design a memristor-based oscillator capable of performing computations through oscillation interactions. A compact physical CBRAM model has been utilized, which has been fitted in the fabricated devices, to extract an accurate and realistic circuit simulation.