科研之友
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摘要
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. 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. The authors shortly repeat this result in order to emphasize that the criterion is sufficient but not necessary for stability. Afterwards they 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.
- 出版日期2017-1
