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| Limit Cycles Bifurcating from a Quadratic ReversibleLotka-Volterra System with aCenter and Three Saddles? |
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Citation： |
Kuilin WU,Haihua LIANG.Limit Cycles Bifurcating from a Quadratic ReversibleLotka-Volterra System with aCenter and Three Saddles?[J].Chinese Annals of Mathematics B,2014,35(1):25~32 |
| Page view： 1684
Net amount： 1367 |
Authors： |
Kuilin WU; Haihua LIANG; |
Foundation： |
National Natural Science Foundation of China (Nos. 11226152, 11201086),the Science and Technology Foundation of Guizhou Province (No. [2012]2167), the Foundation forDistinguished Young Talents in Higher Education of Guangdong (No. 2012LYM 0087) and the TalentProject Foundation of Guizhou University (No. 201104). |
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| Abstract： |
This paper is concerned with limit cycles which bifurcate from a period annulus
of a quadratic reversible Lotka-Volterra system with sextic orbits. The authors apply the
property of an extended complete Chebyshev system and prove that the cyclicity of the
period annulus under quadratic perturbations is equal to two. |
Keywords： |
Reversible Lotka-Volterra systems, Abelian integrals, Limit cycles |
Classification： |
34C05, 34C07 |
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