Simultaneously Resolved Bifurcation Diagrams
Simultaneously Resolved Bifurcation Diagrams
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同时解析分岔图
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
P. Steen
中科院分区：
文献类型：
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作者：
G. Domokos;I. Szeberényi;P. Steen
一种新的方法来计算的分歧图的轴对称平衡的液滴和桥梁。新技术具有并行解决边界值问题的架构，并提供全局分叉图，捕获孤立的分支。相比之下，常规技术使用局部路径延续来按顺序递送解决方案。一个合适的数学公式的经典问题的预测形状的液滴和桥平衡的介绍和它的新技术如何产生全球性的图表。这些图的属性允许平衡族以揭示共同结构的方式组织起来。
A new approach to the computation of bifurcation diagrams is illustrated on axi-symmetric equilibria of liquid droplets and bridges. The new technique has an architecture that solves boundary-value problems in parallel and delivers a global bifurcation diagram, capturing isolated branches. In contrast, conventional techniques deliver solutions in sequence using local path continuation. A suitable mathematical formulation for the classical problem of predicting shapes of droplet and bridge equilibria is introduced and it its shown how the new technique yields global diagrams. Properties of these diagrams allow families of equilibria to be organized in a way that reveals common structures.