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| Ultima descărcare din IBN: 2022-12-12 20:07 |
 SM ISO690:2012BONDAR, Y, SADOVSKII, Artiom. Variety of the center and limit cycles of a cubic system, which is reduced to Lienard form. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, nr. 3(46), pp. 71-90. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(46) / 2004 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 71-90 | ||||||
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| Rezumat | ||||||
In the present work for the system x˙ = y(1 Dx Px2), y˙ = −x Ax2
3Bxy Cy2 Kx3 3Lx2y Mxy2 Ny3 25 cases are given when the point O(0, 0) is a
center. We also consider a system of the form x˙ = yP0(x), y˙ = −x P2(x)y2 P3(x)y3,
for which 35 cases of a center are shown. We prove the existence of systems of the
form x˙ = y(1 Dx Px2), y˙ = −x λy Ax2 Cy2 Kx3 3Lx2y Mxy2 Ny3
with eight limit cycles in the neighborhood of the origin of coordinates. |
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| Cuvinte-cheie Center-focus problem, limit cycles, Lienard systems of differential equa- tions, cubic systems, Cherkas method |
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