新三维自治混沌系统及其动力学性质研究

摘要

构造一个新的三维自治混沌系统.从理论分析和数值仿真角度出发,通过改变新系统的参数值,对其在周期态、平衡态及混沌态的动力学行为进行研究.证实该系统与Lorenz和Chen系统相比,具有更大的Lyapunov指数、更强的初值敏感性和更大的混沌变化范围,属于新的混沌系统.该系统可应用于诸如安全通信、微弱信号检测等实际工程中.%This paper proposes a novel 3D autonomous chaotic system. Some basic dynamical properties of the novel system are not only investigated by theoretical analysis but also demonstrated by computer simulation. Changing the values can switch its state among periodic, equilibrium point and chaotic state. Compared with the Lorenz and Chen systems, this system has larger positive Lyapunov exponent, better sensitivity and larger chaotic range, and is a novel chaotic system. Because of the above properties, the proposed system has a wide application in such as secure communications and weak signal detection.