SYNCHRONIZATION RESEARCH ON THIRD-ORDER DIFFERENTIAL EQUATIONS
Keywords:
Chaotic system, Synchronization, Control strategy, Python numerical simulation, Confidential communicationAbstract
Chaotic synchronization is a type of nonlinear dynamic system that is deterministic but exhibits highly complex and unpredictable behaviors. It has broad application prospects in secure communication or other fields that require synchronous control. The Lorentz system and the Chua system are classic three-dimensional chaotic systems and have broad application prospects in secure communication or other fields that require synchronous control. In this paper, through the synchronous analysis of two drive-response system models composed of three first-order differential equations, a linear synchronous control strategy is proposed. According to Lyapunov stability theory, the synchronization problem of the two chaotic systems is achieved by constructing the Lyapunov function. Python numerical simulation shows the effectiveness of the proposed theoretical method and has strong robustness. This research provides theoretical support for the practical application of chaotic systems in secure communication.References
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