Research on a New Hyper-Chaotic System and Its Event-Driven Intermittent Synchronization

本文提出一个新的四维超混沌系统，并对该超混沌系统的事件驱动同步问题展开研究。根据李雅普诺夫稳定性理论，设计了指数同步的事件驱动的触发机制，并设计了事件驱动机制下的间歇控制器，提出了保证系统实现同步的充分性判据。最后借助python进行数据仿真，验证了所设计控制器的正确性与有效性。 This paper proposes a new four-dimensional hyperchaotic system and investigates its event-driven synchronization problem. Based on Lyapunov stability theory, an event-driven triggering mechanism for exponential synchronization is designed, and an intermittent controller under the event-driven mechanism is developed. Sufficient criteria for ensuring system synchronization are obtained, which balance synchronization accuracy and control resource utilization. Finally, numerical simulations using Python verify the correctness and effectiveness of the designed controller.