periodic orbit

Theory of contraction-map is applied to the nonlinear difference equations to show that the perturbed system admits almost periodic solutions near a hyperbolic periodic orbit of the unperturbed system if the perturbation is sufficiently small.

将不动点定理运用于非线性的差分方程，得到在扰动充分小时，未扰动系统所存在的双曲周期轨道在干扰下产生概周期解。

Second, a new method of controlling chaos by employing a dynamical nonlinear controller is developed to DC-DC buck converters towards stead periodic orbit. The controller is piecewise-quadratic function in the form of x x.

基于一种分段二次函数xx，提出了一种新的混沌控制方法，使用它作为非线性反馈控制器成功地控制了DC-DC buck变换器到稳定的周期轨道。

For the expansive flows with tracing property, this paper is to show that the topological dynamical property near by the periodic orbit is the same as that of the hyperbolic periodic orbit.

证明了具有跟踪性的可扩流在其周期轨附近的拓扑动力性质与双曲周期轨相同。