论文标题
生物Quadratic -Nontwist地图：无剪切分叉的模型
Biquadratic Nontwist Map: a model for shearless bifurcations
论文作者
论文摘要
保护区域的非翼映射用于描述广泛的物理系统。在那些系统中，违反扭曲条件会导致非曲子特征现象，例如重新连接 - 碰撞序列和无剪切不变曲线，这些曲线充当相空间中的传输屏障。尽管在数值研究中报道了剪切的分叉，即多个无剪切曲线的出现情景，但尚未得到充分了解。在这项工作中，我们得出了一个保护区域的图，作为密闭等离子体的粒子传输模型的局部近似值。在此区域保护图中发现了多个无剪切曲线，在原始模型中观察到相同的无剪分叉场景。由于其对称性能和简单的功能形式，因此提出了该图作为研究无剪切分叉的模型。
Area-preserving nontwist maps are used to describe a broad range of physical systems. In those systems, the violation of the twist condition leads to nontwist characteristic phenomena, such as reconnection-collision sequences and shearless invariant curves that act as transport barriers in the phase space. Although reported in numerical investigations, the shearless bifurcation, i.e., the emergence scenario of multiple shearless curves, is not well understood. In this work, we derive an area-preserving map as a local approximation of a particle transport model for confined plasmas. Multiple shearless curves are found in this area-preserving map, with the same shearless bifurcation scenario numerically observed in the original model. Due to its symmetry properties and simple functional form, this map is proposed as a model to study shearless bifurcations.
