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| Ultima descărcare din IBN: 2022-11-25 10:34 |
 SM ISO690:2012NEAGU, Natalia, ORLOV, Victor, POPA, Mihail. Invariant conditions of stability of unperturbed motion described by cubic differential system with quadratic part of Darboux type. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 37-39. ISBN 978-9975-76-247-2. |
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| Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | |
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| Pag. 37-39 | |
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In [1] the center-a_ne invariant conditions of stability of unperturbed motion, described bycritical two-dimensional di_erential systems with quadratic nonlinearities s(1; 2), cubic nonlinearitiess(1; 3) and fourth-order nonlinearities s(1; 4), were obtained.We consider the two-dimensional cubic di_erential system s(1; 2; 3) of perturbed motion of theForm x_ j = aj _x_ + aj __x_x_ + aj __x_x_x _ X3 i=1 Pj i ; (j; _; _; = 1; 2); (1) where coe_cients aj __ and aj__ are symmetric tensors in lower indices in which the total convolutionis done. Coe_cients and variables in (1) are given over the _eld of real numbers.Let ' and be homogeneous comitants of degree _1 and _2 respectively of the phase variablesx = x1 and y = x2 of a two-dimensional polynomial di_erential system. Then by [2] the transvectant. |
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