A note on circulatory systems: Old and new results
A note on circulatory systems: Old and new results
复制标题
关于循环系统的注释：旧结果和新结果
DOI：
--
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
C. Pommer
中科院分区：
文献类型：
--
作者：
W. Kliem;C. Pommer
令人惊讶的是，经过半个多世纪密集的研究领域的非保守系统的二阶微分方程仍然新的有趣的结果出现，见。在这篇论文中，梅捷利岑和弗里克重新提出了一个旧的稳定性准则。为了强调这个判据对于稳定性是充分的但不是必要的，我们简单地重复这个结果。之后，我们集中在循环系统的纯虚特征值和调查的影响，不定阻尼。最后，将评论陀螺力稳定循环系统的可能性。实例将证明所发展的理论。
It is astonishing that after more than half a century intensive research in the area of non‐conservative systems of second order differential equations still new interesting results appear, see . In that paper an old stability criterion by Metelitsyn and Frik was reinvented. We shortly repeat this result in order to emphasize that the criterion is sufficient but not necessary for stability. Afterwards we concentrate on circulatory systems with purely imaginary eigenvalues and investigate the influence of indefinite damping. Finally the possibility of stabilizing circulatory systems by gyroscopic forces will be commented. Examples will demonstrate the developed theory.