Synchronization of Fractional Discrete Memristives Models

Memristives have garnered a lot of attention in complex dynamics due to their unique properties and potential to revolutionize memory and computer technologies, making them essential components of many applications. In this paper, we suggested an adaptive control mechanism for sychronzation fractional chaotic memristive maps based on the Caputo-left difference operator. Firstly, we introduced a few fundamental nonlinear control rules to govern the dynamics of fractional chaotic memristive maps in three dimensions. Additionally, we offer a number of suitable methods for synchronizing fractional chaotic memory maps. This involves pushing the slave map's states toward a master chaotic map's by adding control parameters to the slave map, bringing the states of the slave and master maps into synchronization. Utilizing the stabilization conditions theorem and the Caputo-left difference operator's characteristics, the findings were obtained. Finally, using relevant numerical simulation , the synchronized maps is validated.