Conţinutul numărului revistei |
Articolul precedent |
Articolul urmator |
517 16 |
Ultima descărcare din IBN: 2024-04-25 14:54 |
Căutarea după subiecte similare conform CZU |
517.91/.517.93 (1) |
Analiză (301) |
SM ISO690:2012 BENADOUANE, Sabah, BERBACHE, Aziza, BENDJEDDOU, Ahmed. Upper Bounds for the Number of Limit Cycles for a Class of Polynomial Differential Systems Via The Averaging Method. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2021, nr. 3(97), pp. 72-87. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(97) / 2021 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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CZU: 517.91/.517.93 | ||||||
MSC 2010: 34C07, 34C23, 37G15. | ||||||
Pag. 72-87 | ||||||
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Rezumat | ||||||
In this paper, we study the number of limit cycles of polynomial differential systems of the form x˙ = y y˙ = −x − "(h1 (x) y2 + g1 (x) y2 +1 + f1 (x) y2 +2) − "2(h2 (x) y2 + g2 (x) y2 +1 + f2 (x) y2 +2) where m, n, k and are positive integers, hi, gi and fi have degree n,m and k, respectively for each i = 1, 2, and " is a small parameter. We use the averaging theory of first and second order to provide an accurate upper bound of the number of limit cycles that bifurcate from the periodic orbits of the linear center x˙ = y, y˙ = −x. We give an example for which this bound is reached. |
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Cuvinte-cheie limit cycles, averaging theory, Li´enard differential systems |
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