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A Practice-Oriented Bifurcation Analysis for Pulse Energy Converters. Part 5: A View Towards the Future
International Journal of Bifurcation and Chaos ( IF 2.2 ) Pub Date : 2021-06-18 , DOI: 10.1142/s0218127421501066
Yury Kolokolov 1 , Anna Monovskaya 1
Affiliation  

The paper concludes the series of the research works on the interdisciplinary analytical approach (the so-called bifurcation-fractal analytics) to forecast the dynamics of pulse systems on the basis of modified bifurcation diagrams. These diagrams are intended to integrate incompatible-in-traditional-spaces images (mainly transients from the phase space and evolution pictures from the parametric space) in order to analyze whether the running transient converges towards the domain of a desirable behavior taking into account its qualitative and quantitative characteristics. The interdisciplinary context of the analytics appears because the novel mathematical images need physical meaning and further this research should be continued for proposing the expedient engineering decision. Here, the advantages to forecast the evolutionary tendencies in different scales of the modified bifurcation diagrams are illustrated by computer-based simulations. Translations of the mathematical images into their physical implementations follow the principle of the bifurcation poker and the principle of the spatial nonuniformity. The experimental results to verify these principles are presented. Variants of engineering proposals are commented in comparison with traditional abilities of the small-signal design. The results systematized in the paper confirm that fundamental obstacles to forecast abnormal evolutionary changes in the dynamics of pulse energy converters are absent. Prospects of the outcome from the experience accumulated in engineering to similar problem statements independently of a pulse system nature are finally discussed. And the regulatory hypothesis on local climate dynamics is considered in this connection. This discussion is quite suitable here because a local climate system can be described as a converter of the solar energy under a specific pulse control realized by the astronomic forcing and there are circumstances, in which electrotechnical simulations can remain a unique way to accelerate the research on prerequisites and sequels of the forthcoming climate changes. Then the bifurcation-fractal analytics provides an initial theoretical foundation to this research.

中文翻译:

脉冲能量转换器的面向实践的分岔分析。第 5 部分:展望未来

本文总结了基于改进的分岔图预测脉冲系统动力学的跨学科分析方法(所谓的分岔分形分析)的一系列研究工作。这些图旨在整合传统空间中不兼容的图像(主要是来自相空间的瞬态和来自参数空间的演化图像),以便分析运行瞬态是否收敛到理想行为的域,同时考虑其定性和数量特征。分析的跨学科背景出现是因为新颖的数学图像需要物理意义,并且应该继续进行这项研究以提出权宜之计的工程决策。这里,通过基于计算机的模拟说明了预测修正分岔图不同尺度演化趋势的优势。将数学图像转换为其物理实现遵循分叉扑克原理和空间非均匀性原理。给出了验证这些原理的实验结果。与小信号设计的传统能力相比,对工程方案的变体进行了评论。本文系统化的结果证实,不存在预测脉冲能量转换器动力学异常演化变化的基本障碍。最后讨论了从工程中积累的经验到独立于脉冲系统性质的类似问题陈述的结果的前景。并且在这方面考虑了当地气候动态的调节假设。这种讨论在这里非常合适,因为局部气候系统可以描述为在天文强迫实现的特定脉冲控制下的太阳能转换器,并且在某些情况下,电工模拟仍然是加速研究的独特方式。即将到来的气候变化的先决条件和后果。然后分岔-分形分析为本研究提供了初步的理论基础。其中,电工模拟仍然是一种独特的方式,可以加速对即将到来的气候变化的先决条件和后果的研究。然后分岔-分形分析为本研究提供了初步的理论基础。其中,电工模拟仍然是一种独特的方式,可以加速对即将到来的气候变化的先决条件和后果的研究。然后分岔-分形分析为本研究提供了初步的理论基础。
更新日期:2021-06-18
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