Limit cycles bifurcating from a quadratic reversible Lotka-Volterra system with a center and three saddles

作者：Wu, Kuilin^*; Liang, Haihua

来源：Chinese Annals of Mathematics Series B, 2014, 35(1): 25-32.

DOI：10.1007/s11401-013-0818-4

• Reversible Lotka-Volterra systems
• Abelian integrals
• Limit cycles

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.

• 出版日期2014-1
• 单位贵州大学; 广东技术师范大学