Finite Time Combination Synchronization of Four-dimensional System Based on DNA Strand Displacement.

With the application of DNA strand displacement (DSD) in the synchronization of chaotic systems within a finite time, the finite time synchronization of a single drive system and a single response system has been realized by DNA. Within this article, the finite time combination synchronization of four-dimensional systems is realized by using DSD technology. First, the four-dimensional system and the combination synchronization controllers are realized by using the designed strand displacement reaction. Second, the dynamic characteristics of the designed four-dimensional system are verified by simulation. Third, by cascading the designed four-dimensional system and the combination synchronization controllers, the combination synchronization of three four-dimensional systems in finite time is realized. Numerical simulation results show that DSD can realize combination synchronization of three four-dimensional systems within a finite time. This study highlights the potential of DSD techniques for achieving complex synchronization tasks in chaotic systems. The research in this article further expands the application prospects in security communication, biological computation and other fields.