Geodesic
On stabilization of potential systems by circular forces
Contemporary Mathematics and Its Applications, Tome 98 (2015), pp. 17-21

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In this paper, we consider a linear potential system possessing an arbitrary number of negative stability coefficient and solve the problem on stabilization (until a stable state) of a nonstable potential system by circular forces. We obtain stability conditions in terms of the initial system that generalize results obtained earlier for the case of a single negative stability coefficient. We also examine the action of dissipative forces. 
@article{CMA_2015_98_a2,
     author = {T. V. Muratova and S. A. Agafonov},
     title = {On stabilization of potential systems by circular forces},
     journal = {Contemporary Mathematics and Its Applications},
     pages = {17--21},
     publisher = {mathdoc},
     volume = {98},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMA_2015_98_a2/}
}
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T. V. Muratova; S. A. Agafonov. On stabilization of potential systems by circular forces. Contemporary Mathematics and Its Applications, Tome 98 (2015), pp. 17-21. http://geodesic.mathdoc.fr/item/CMA_2015_98_a2/