BIFURCATIONS OF PERIODIC ORBITS IN THREE-WELL DUFFING SYSTEM WITH A PHASE SHIFT

作     者：Jicai HUANG Han ZHANG Jicai HUANG School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China. Han ZHANG College of Information Technical Science,Nankai University,Tianjin 300071,China.

作者机构：School of Mathematics and Statistics Central China Normal University Wuhan 430079 China College of Information Technical Science Nankai University Tianjin 300071 China. 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2011年第24卷第3期

页      面：519-531页

核心收录：

学科分类：0810[工学-信息与通信工程] 1205[管理学-图书情报与档案管理] 07[理学] 08[工学] 070201[理学-理论物理] 0811[工学-控制科学与工程] 080101[工学-一般力学与力学基础] 0812[工学-计算机科学与技术（可授工学、理学学位）] 0702[理学-物理学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China under Grant No.10726022 CCNU Project under Grant No.CCNU09A01003 Tianjin Fund for Natural Sciences "07JCYBJC14700" 

主　　题：Bifurcations Melnikov's method periodic orbits second-order averaging three-well Duffing system. 

摘      要：Bifurcations of periodic orbits of three-well Duffing system with a phase shift are investigated in detail. The conditions of the existence and bifurcations for harmonics, subharmonics （2-order, 3- order and m-order） and superharmonics under small perturbations are given by using second-order averaging method and Melnikov＇s method. The influence of the phase shift on the dynamics is also obtained.