Further study on Horozov-Iliev's method of estimating the number of limit cycles

作     者：Xiaoyan Chen Maoan Han 

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.