We present an example of demonstration for the basin boundaries in classical rearrangement scattering with particular emphasis on the breakup channel. Whereas the basin boundaries of the other arrangement channels are given by stable manifolds of periodic orbits in the interaction region, the basin boundary of the breakup channel is given by the stable manifold of a particular subset in the set of final asymptotes. The geometry of this boundary surface is presented in detail. Further, we discuss the transition to chaos at the energetic threshold of the breakup channel and the related basin boundary metamorphosis.

中文翻译：

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混沌重排散射中破碎通道的盆边界

我们以古典重排散射为例，对盆地边界进行了演示，并特别强调了破碎通道。其他布置通道的盆边界由相互作用区域中周期轨道的稳定流形给出，而分解通道的盆边界由最终渐近集中的特定子集的稳定流形给出。详细介绍了该边界面的几何形状。此外，我们讨论了在破碎通道的高能门槛处向混沌的过渡以及相关的盆地边界变质。