一个新的具有共存隐藏吸引子的四维Sprott B混沌系统

A new four-dimensional Sprott B chaotic system with coexisting hidden attractors

在原Sprott B系统的基础上,采用线性状态反馈控制器,提出了一种新的具有共存隐藏吸引子的四维混沌系统。新的四维混沌系统虽然只有两个非线性项,但它能产生丰富的动力学特性,包括周期吸引子和周期吸引子共存,周期吸引子和混沌吸引子共存,混沌吸引子和混沌吸引子共存。从相图、分岔图、李雅普诺夫指数谱等分析了新混沌系统的动力学特性,通过调节一个控制常数来实现变量的偏置增强。采用模糊熵算法、C0算法和SE谱熵算法验证了系统的复杂度。设计并实现了相应的模拟电路,验证了新的四维混沌系统。

In this paper,based on the original Sprott B system,a new four-dimensional chaotic system with coexisting hidden at-tractors is proposed using a linear state feedback controller.Although the new four-dimensional chaotic system has only two nonlinear terms,it can produce rich dynamical properties,including the coexistence of periodic attractors,coexistence of periodic attractor and chaotic attractor,and coexistence of chaotic attractors.The dynamics of the new chaotic system is analyzed in terms of phase dia-grams,bifurcation diagrams,and Lyapunov exponential spectrums,and the offset boosting of variables is achieved by adjusting the control parameter.The complexity of the system is verified using the fuzzy entropy algorithm,the C0algorithm and the spectral entropy algorithm.The corresponding simulation circuit is designed and implemented to verify the new four-dimensional chaotic system.