SAME DISTRIBUTION OF LIMIT CYCLES TO PERTURBED CUBIC HAMILTONIAN SYSTEMS WITH DIFFERENT PERTURBATIONS  

作　　者：Zhiyan Yang, Tao Jiang (School of Information, Beijing Wuzi University, Beijing 101149) 

出　　处：《Annals of Differential Equations》2011年第2期241-247,共7页微分方程年刊（英文版）

基　　金：supported by Funding Project for Base Construction of Scientific Research of Beijing Municipal Commission of Education (WYJD200902);Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdictition of Beijing Municipality (PHR200906210);the National Natural Science Foundation of China (10801135)

摘　　要：Using qualitative analysis, we study perturbed Hamiltonian systems with different n-th order polynomial as perturbation terms. By numerical simulation, we show that these perturbed systems have the same distribution of limit cycles. Our results imply that these perturbed systems are equivalent in the sense of distribution of limit cycles. This is useful for studying limit cycles of perturbed systems.Using qualitative analysis, we study perturbed Hamiltonian systems with different n-th order polynomial as perturbation terms. By numerical simulation, we show that these perturbed systems have the same distribution of limit cycles. Our results imply that these perturbed systems are equivalent in the sense of distribution of limit cycles. This is useful for studying limit cycles of perturbed systems.

关 键 词：limit cycles bifurcation 

分 类 号：O153.3[理学—数学]