Synchronization of Chaotic Memristive System with Sinusoidal Colpitts Oscillator based on Adaptive Feedback Control Method

Abstract The synchronization of chaotic memristive systems with sinusoidal oscillators in order to achieve fully sinusoidal response can be included among the most important ongoing research topics in nonlinear sciences. In this paper, the purpose of controlling the chaotic oscillator based on memristive devices is to achieve sinusoidal response by synchronizing its response with the response of sinusoidal colpitts oscillator. For this purpose, sinusoidal synchronizations between two distinct dynamical systems with different order are investigated. Accordingly, we provided a sufficient condition in order to control the chaos in the memristive oscillator based on memcapacitor and meminductor, in order to achieve fully sinusoidal response with constant amplitude. For this purpose, an adaptive feedback controller is designed to synchronize the states of the master and slave oscillators. Numerical simulations are performed to verify the effectiveness of the proposed control scheme.