混沌系统中的吸引子共存能够增强在同步通信中的安全性,因此建立一个具有吸引子共存的混沌系是有意义的。将双曲正切函数加入新混沌系统中,通过扩展系统平衡点的方法产生具有无限多吸引子的共存,该方法产生的吸引子个数具有可调性。此外,设计了反馈控制律,实现了系统的全局同步控制。理论研究和数值模拟仿真结果验证了该同步方法的有效性。具有可调数目的吸引子共存的混沌系统具有更为复杂的动态行为,因此在同步通信领域具有较好的应用价值。
The coexistence of attractors in chaotic systems can enhance the security of synchronous communication. Therefore, it is meaningful to establish a chaotic system with the coexistence of attractors. The hyperbolic tangent function is added to the new chaotic system, and the coexistence with infinite attractors is generated by expanding the equilibrium point of the system. The number of attractors generated by this method is adjustable. In addition, the global feedback control law is designed to realize the synchronization of the system. Theoretical research and numerical simulation results verify the effectiveness of the synchronization method. The chaotic system with adjustable attractors has more complex dynamic behavior, so it has good application value in the field of synchronous communication.
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