Anti Synchronization of New Chaotic Systems via Adaptive Backstepping Control: An Application to Image Encryption

Based on an adaptive backstepping control strategy, the anti-synchronization phenomenon between two identical chaotic systems is proposed to achieve global and exponential anti-synchronization. The theoretical analysis is supported by Lyapunov-based stability proofs. Through numerical simulations, it is demonstrate that the synchronization errors vanish asymptotically, thus confirming the validity of the proposed scheme. Furthermore, the practical applicability of the methodology is illustrated through its application instance to image encryption, where the master system states are employed in an XOR based process to encrypt visual data. The obtained results both the theoretical of the methodology and its applicability in secure communications and related fields.