Loop Synchronization for Three Four-Dimensional Chaotic Systems Based on DNA Strand Displacement

The emergence of DNA strand displacement has prompted the development of chaotic synchronization techniques, and previous works mainly focus on the study of synchronization for two three-dimensional chaotic systems via DNA strand displacement. In this article, four-dimensional (4-D) chaotic systems and loop controllers are designed using several strand displacement units, and loop synchronization for three 4-D chaotic systems is achieved by cascading the designed chaotic systems and controllers. It is revealed from the results of Visual DSD that strand displacement reactions can realize the loop synchronization of three 4-D nonlinear chaotic systems, and our method has robustness when one loop controller does not work. Our works will provide reference for the investigation of chaotic synchronization using DNA techniques.