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SM ISO690:2012 LE, Van-Linh, SADOVSKII, Artiom. The centre-focus problem for analytical systems of Lienard form in degenerate case. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 2(42), pp. 37-50. ISSN 1024-7696. |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 2(42) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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Pag. 37-50 | ||||||
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For analytical systems of Lienard form in the case of zero eigenvalues
of its linear part is obtained the algebraic criterion of the centre existence, which is
analogous to the Cherkas’s criterion for systems with imaginary eigenvalues of linear
part. We give the solution of centre-focus problem for one class of cubic systems. |
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