State Observer Synchronization of Three-Dimensional Chaotic Oscillatory Systems Based on DNA Strand Displacement

Area of Science:

• Biochemistry and Molecular Biology
• Chaos Theory and Control Systems
• Synthetic Biology and DNA Computing

Background:

• DNA strand displacement (DSD) is a foundational technique for DNA chemical reaction networks (CRNs).
• CRNs have enabled advancements in chaotic synchronization techniques.
• Existing methods for chaotic system synchronization require novel approaches.

Purpose of the Study:

• To introduce a novel synchronization technology for two isomorphic three-dimensional chaotic systems.
• To utilize DNA strand displacement reactions as the basis for constructing chaotic systems and controllers.
• To achieve synchronization of chaotic systems using a state observer and designed controllers.

Main Methods:

• Constructed three-dimensional chaotic systems using multiple DNA strand displacement reactions.
• Designed linear transformation and state observer systems based on established control theory.
• Developed coupling and soft variable-structure controllers to facilitate synchronization between drive and response systems.

Main Results:

• Successfully constructed chemical reaction networks for four chaotic systems and two controllers via DSD.
• Cascaded these networks to achieve synchronization of two isomorphic three-dimensional chaotic systems.
• Numerical simulations confirmed the effectiveness and robustness of the proposed synchronization scheme.

Conclusions:

• The study successfully demonstrates the synchronization of isomorphic chaotic systems using DSD-based CRNs.
• The developed control strategies are effective and robust, validated by numerical simulations.
• This work provides a new reference for achieving chaotic system synchronization through DNA strand displacement.