被困奇点的情况
The case of the trapped singularities
摘要：
在分叉和稳定性分析的案例研究，减少动力系统建模产生大量的新的全球和预测信息的行为的复杂系统。第一个光滑的路径，病理和持续退化奇点，调查通过一个非线性动力学模型的参数空间的梯度驱动，磁剪切流能量在磁化聚变等离子体。沿途的各种障碍物和特征被识别并得到适当处理。低余维的组织中心被证明是强大的，几个被困奇点被发现和释放，和域的滞后，三重稳定平衡，和极限环映射。这一丰富的动态景观的表征实现了统一的等离子体约束过渡以前不同的模型，湍流的剪切流抑制的大问题上提供了宝贵的情报，并提出了有针对性的实验设计，控制和优化策略。
英文摘要：
A case study in bifurcation and stability analysis is presented, in which reduced dynamical system modelling yields substantial new global and predictive information about the behaviour of a complex system. The first smooth pathway, free of pathological and persistent degenerate singularities, is surveyed through the parameter space of a nonlinear dynamical model for a gradient-driven, turbulence-shear flow energetics in magnetized fusion plasmas. Along the route various obstacles and features are identified and treated appropriately. An organizing centre of low codimension is shown to be robust, several trapped singularities are found and released, and domains of hysteresis, threefold stable equilibria, and limit cycles are mapped. Characterization of this rich dynamical landscape achieves unification of previous disparate models for plasma confinement transitions, supplies valuable intelligence on the big issue of shear flow suppression of turbulence, and suggests targeted experimental design, control and optimization strategies.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
