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Perturbations of quadratic Hamiltonian two-saddle cycles

โœ Scribed by Gavrilov, Lubomir; Iliev, Iliya D.


Book ID
122283519
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
805 KB
Volume
32
Category
Article
ISSN
0294-1449

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This paper is concerned with degree n polynomial perturbations of a class of planar non-Hamiltonian reversible quadratic integrable system whose almost all orbits are cubics. We give an estimate of the number of limit cycles for such a system. If the first-order Melnikov function (Abelian integral)