论文标题
在标准地图中控制逃生
Controlling Escape in the Standard Map
论文作者
论文摘要
我们研究了扩散指数如何通过控制相空间中的小域的影响。主要的Kolomogorov-Arnold-Moser-Standard MAP的KAM岛被认为是为了验证研究。考虑到周期岛排放较小的共振区域的分叉场景，我们显示了如何通过控制点，从而使扩散指数较小的封闭路径如何从岛上逃脱。我们注意到受控区域较大的扩散指数越小。我们表明，围绕与分叉相关的双曲线点的控制要比随机对照更好，以减少扩散指数。复发图显示了我们的逃生通道，并在此处使用的控件减少了扩散指数。
We investigate how the diffusion exponent is affected by controlling small domains in the phase space.The main Kolomogorov-Arnold-Moser - KAM island of the Standard Map is considered to validate the investigation. The bifurcation scenario where the periodic island emits smaller resonance regions is considered and we show how closing paths escape from the island shore by controlling points and hence making the diffusion exponent smaller. We notice the bigger controlled area the smaller the diffusion exponent. We show that controlling around the hyperbolic points associated to the bifurcation is better than a random control to reduce the diffusion exponent. The recurrence plot shows us channels of escape and a control applied there reduces the diffusion exponent.
