强迫逃逸:从瞬态混沌区域逃逸轨道的部分控制
Forcing the escape: Partial control of escaping orbits from a transient chaotic region
摘要:
提出了一种基于局部控制方法的新的控制算法。我们所考虑的一般情况是,在某个相空间区域Q中开始的轨道具有受噪声影响的混沌瞬时性态,使得该轨道在不可预测的迭代次数中肯定会从Q逃逸。因此,算法的目标是以可预测的方式控制何时逃逸。虽然部分控制已被用作避免逃逸的一种方法,但在这里我们希望将其调整为以受控的方式强制逃逸。我们已经引入了新的工具,如逃逸函数和逃逸集,一旦计算,使轨道的控制简单。我们已经将新的想法应用到三个不同的情况下,以说明这种新算法的各种应用可能性。
英文摘要:
A new control algorithm based on the partial control method has been developed. The general situation we are considering is an orbit starting in a certain phase space region Q having a chaotic transient behavior affected by noise, so that the orbit will definitely escape from Q in an unpredictable number of iterations. Thus, the goal of the algorithm is to control in a predictable manner when to escape. While partial control has been used as a way to avoid escapes, here we want to adapt it to force the escape in a controlled manner. We have introduced new tools such as escape functions and escape sets that once computed makes the control of the orbit straightforward. We have applied the new idea to three different cases in order to illustrate the various application possibilities of this new algorithm.
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