The Parametric X-ray Radiation and Local Bifurcation in Rotated Periodic Orbit(PO) System 参数X射线辐射与旋转周期轨道(PO)的局域分叉
This paper introduces the concepts of space_bifurcation, direct motion, main saddle periodic orbit, and hybrid attractor. 引入了空间分叉、单向运动、主鞍周期轨道(PO)和混合吸引子等新概念。
But the periodic orbit of the system must be found, before OGY method can work. 利用OGY方法必须预先知道系统要被稳定的周期轨道(PO),并且这种方法控制的实时性较差。
Methods of finding periodic orbit in chaotic systems 混沌体系中寻找周期轨迹的方法
Results show that by researching bifurcation structure in parameter plane, the stable parameter domain can provide helps for analyzing and designing the nonlinear gear system, and the point of crisis of chaotic attractor is helpful to obtain the unstable periodic orbit and control chaos. 结果表明,通过对参数平面内分岔结构的研究,稳定参数域可以为非线性齿轮系统的分析和设计提供依据;混沌吸引子的激变点有助于确定不稳定周期轨道(PO),以便于控制混沌。