论文标题
三重闪烁的浮力扩散火焰的动态模式识别：从物理空间到相位空间，再到瓦瑟斯坦空间
Dynamical Mode Recognition of Triple Flickering Buoyant Diffusion Flames: from Physical Space to Phase Space and to Wasserstein Space
论文作者
论文摘要
在同步三角形排列中，三角弹性扩散火焰被实验研究为耦合振荡器的非线性动力学系统。该研究的目的是两个方面：建立一个良好的气体燃料扩散火焰实验，可以纠正以前的蜡烛 - 弗拉姆实验的不足，并为动态模式识别的客观方法论开发出基于瓦斯感觉群体距离的动力模式识别，这是基于相位点之间的分布功能之间的距离，并且可以在相位点之间易于更易于多动态系统，而不是更大的动态系统。通过使用当前的实验和方法，我们认识到七个不同的稳定动力学模式，例如同相模式，闪烁的死亡模式，部分闪烁的死亡模式，部分同期模式，旋转模式，部分解耦模式和脱钩模式。这些结果概括了以直线和相等的三角形布置的三重闪烁火焰系统的文献结果。可以分别将两种动态模式的识别或歧视分别量化为小的或大的瓦斯汀距离。
Triple flickering buoyant diffusion flames in an isosceles triangle arrangement were experimentally studied as a nonlinear dynamical system of coupled oscillators. The objective of the study is two-fold: to establish a well-controlled gas-fuel diffusion flame experiment that can remedy the deficiencies of previous candle-flame experiments, and to develop an objective methodology for dynamical mode recognition that is based on the Wasserstein distance between distribution functions of phase points and can be readily generalized to larger dynamical system consisting of more than three flames. By using the present experiment and methodology, we recognized seven distinct stable dynamical modes, such as in-phase mode, flickering death mode, partial flickering death mode, partial in-phase mode, rotation mode, partial decoupled mode, and decoupled mode. These results generalize the literature results for triple flickering flame system in a straight-line and equal-lateral triangle arrangement. The identification or discrimination of two dynamical modes can be quantified as the small or large Wasserstein distance, respectively.
