论文标题
弱耗散驱动器并增强三维混沌散射中的Wada盆地
Weak dissipation drives and enhances Wada basins in three-dimensional chaotic scattering
论文作者
论文摘要
在三个维度上的混沌散射尚未像迄今为止的二维那样受到很多关注。在本文中，我们处理了一个三维开放的哈密顿系统，当在没有耗散的情况下超过临界能量价值时，其WADA盆地边界将变为非WADA。特别是，我们在这里研究了对这种拓扑变化的耗散影响，这在两个维度上没有类比。因此，我们发现，在没有耗散的情况下，预期的非瓦达盆地会在弱耗散将系统能量降低到临界能量以下时，将自己转变为部分WADA盆地。我们提供了在弱耗散下盆地边界上WADA点出现的数值证据。根据论文的发现，在三维开放式哈密顿系统中，WADA盆地通常是驱动，增强和因此在结构上稳定的。
Chaotic scattering in three dimensions has not received as much attention as in two dimensions so far. In this paper, we deal with a three-dimensional open Hamiltonian system whose Wada basin boundaries become non Wada when the critical energy value is surpassed in the absence of dissipation. In particular, we study here the dissipation effects on this topological change, which has no analogy in two dimensions. Hence, we find that non-Wada basins, expected in the absence of dissipation, transform themselves into partially Wada basins when a weak dissipation reduces the system energy below the critical energy. We provide numerical evidence of the emergence of the Wada points on the basin boundaries under weak dissipation. According to the paper findings, Wada basins are typically driven, enhanced and, consequently, structurally stable under weak dissipation in three-dimensional open Hamiltonian systems.
