Limit cycles bifurcated from some reversible quadratic centres with a non-algebraic first integral

作者：Liu, Changjian^*

来源：Nonlinearity, 2012, 25(6): 1653-1660.

DOI：10.1088/0951-7715/25/6/1653

• UNBOUNDED HETEROCLINIC LOOPS
• HAMILTONIAN-SYSTEMS
• HOMOCLINIC LOOP
• PERIOD ANNULUS
• PERTURBATIONS
• CYCLICITY

We study the cyclicity of period annuli of some reversible non-Hamiltonian quadratic systems under quadratic perturbations. In general, the first integral, which we study, is non-algebraic. Via estimating the number of zeros of the associated Abelian integral (first order Melnikov function), we show that the cyclicity is 2.

• 出版日期2012-6
• 单位苏州大学