一类具有四条分界射线的近哈密顿系统的极限环分支（英文）

Limit Cycles by Perturbing a Piecewise Near-Hamiltonian System with 4 Switching Lines

应用分片光滑近哈密顿系统一阶Melnikov函数方法,研究一类由四个角形区域合成的全局中心的极限环扰动分支.当扰动项为n次多项式时,给出由中心分支出来的极限环的个数的上下界.

By using the first order Melnikov function method for piecewise near- Hamiltonian systems, we study limit cycle bifurcations by perturbing a compound global center with 4 regions. When the perturbed terms are polynomials with degree n;we give the number of limit cycles bifurcated from the center.