The centre-focus problem for analytical systems of Lienard form in degenerate case
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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

The centre-focus problem for analytical systems of Lienard form in degenerate case

Pag. 37-50

Le Van-Linh, Sadovskii Artiom
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

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.