Further study on Horozov-Iliev's method of estimating the number of limit cycles
Further study on Horozov-Iliev’s method of estimating the number of limit cycles作者机构:Department of Computer Science and MathematicsChangsha UniversityChangsha 410022China Department of MathematicsZhejiang Normal UniversityJinhua 321004China
出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))
年 卷 期:2022年第65卷第11期
页 面:2255-2270页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金:supported by National Natural Science Foundation of China(Grant Nos.11931016 and 11771296) Hunan Provincial Education Department(Grant No.19C1898)
主 题:near-Hamiltonian system piecewise smooth system Melnikov function limit cycle
摘 要:In the study of the number of limit cycles of near-Hamiltonian systems,the first order Melnikov function plays an important *** paper aims to generalize Horozov-Iliev’s method to estimate the upper bound of the number of zeros of the function.