Chaotic Oscillation Systems with Disturbance Based on DNA Strand Displacement and Its Active Control

The emergence of DNA strand displacement (DSD) technology has facilitated the development of chaotic synchronization. The active control of the three-variable chaotic oscillation system is designed with DSD technology in this paper. Firstly, DNA strands are designed according to base complementary pairing. The biochemical modules of double, catalysis, subtraction, displacement, and degradation are constructed based on the designed DNA strands. Secondly, the biochemical modules are used to construct the drive system reaction networks and the response system reaction networks with unknown disturbances. Thirdly, an error-compensation active controller is designed based on the DSD technique, which is added to the chaotic oscillation system to achieve synchronous control of the chaotic systems. The biochemical modules and the chaotic systems are carried out and tested by making use of the MATLAB and Visual DSD software. The simulation results show that it is feasible for us to use DSD technology to realize the active control of chaotic oscillation system. This paper may be used to the more complex controlled objective of multivariable chaotic system based on DSD.