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 SM ISO690:2012NEAGU, Natalia, POPA, Mihail. Stability conditions of unperturbed motion governed by critical three-dimensional differential system of Darboux type with cubic nonlinearities. In: Mathematics and IT: Research and Education, 1-3 iulie 2021, Chişinău. Chișinău, Republica Moldova: 2021, pp. 62-63. |
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| Mathematics and IT: Research and Education 2021 | ||||||
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Conferința "Mathematics and IT: Research and Education " Chişinău, Moldova, 1-3 iulie 2021 | ||||||
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| Pag. 62-63 | ||||||
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We examine the three-dimensional differential system with cubic nonlinearitiesformulawhere formula is symmetric tensor in the lower indices, by which a total convolution is carried out here. By a center-affine transformation, the system (1) can be brought to the critical Lyapunov form [1] and in the center-affine condition formula from [2], the system (1) becomes a critical of Darboux type, of the formformulaIn the last case, the unperturbed motion belongs to some continuous series of stabilized motions, and moreover this motion is asymptotically stable. |
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