Hopf bifurcation analysis and circuit implementation for a novelfour-wing hyper-chaotic system

In the paper, a novel four-wing hyper-chaotic system is proposed and analyzed. A rare dynamic phenomenon is found that this new system with one equilibrium generates a four-wing-hyper-chaotic attractor as parameter varies. The system has rich and complex dynamical behaviors, and it is investigated in terms of Lyapunov exponents, bifurcation diagrams, Poincare′ maps, frequency spectrum, and numerical simulations. In addition, the theoretical analysis shows that the system undergoes a Hopf bifurcation as one parameter varies, which is illustrated by the numerical simulation. Finally, an analog circuit is designed to implement this hyper-chaotic system.     

永磁同步电机的混沌分析及其电路实现

作为一个非线性动力学系统,在一定参数范围和外部输入下永磁同步电机可以呈现非常复杂的混沌运动或极限环,其混沌特性较为显著.在永磁同步电机的非线性数学模型基础上,分析其分叉图、Lyapunov指数图谱和平衡点性质等非线性运动特性,并通过数字仿真得到验证.最后基于该模型设计了相应的模拟电路,实验结果和数字仿真一致. 关键词： 永磁同步电机 混沌 分形分析 电路实现