2-D离散动力系统的空间静态分岔与控制

Spatial static bifurcation of 2-D discrete dynamical systems and its control

近年来分岔控制依旧是一个热点研究领域.本文利用一个统一的延迟反馈方法控制2-D离散动力系统的空间静态分岔.利用该控制方法,我们可以通过转移已有的分岔或产生一个新的跨临界、叉型、鞍结分岔来实现2-D离散动力系统的空间静态分岔的判别和控制方法.

As bifurcation control has remained a hot research field in recent years, a unified time-delayed feed- back control method is adopted in this paper to control the spatial static bifurcation of 2-D discrete dynamical systems. By transferring the existing bifurcation or by producing a new fork-shaped, trans-critical, or saddle- node bifurcation, this method determines and then controls the spatial static bifurcation of 2-D discrete dynamical systems.