Chaotification in the stretch-twist-fold (STF) flow  

作　　者：YUE BaoZeng AQEEL Muhammad 

机构地区：[1]Department of Mechanics, School of Aerospace Engineering, Beijing Institute of Technology [2]Department of Mathematics, COMSATS Institute of Information Technology

出　　处：《Chinese Science Bulletin》2013年第14期1655-1662,共8页

基　　金：supported by the National Natural Science Foundation of China (10772026, 11072030);the Ph.D. Programs Foundation of Ministry of Education of China (20080070011);the Scientific Research Foundation of Ministry of Education of China for Returned Scholars (20080732040);the Program of Beijing Municipal Key Discipline Construction

摘　　要：Chaotic behavior and detailed parameter analysis of stretch-twist-fold (STF) flow are investigated. STF flow is associated with fluid particle motion which naturally arises in the dynamo theory. It proposes a mechanism, by which a celestial bodies, such as earth and sun, can maintain and amplify the magnetic field continuously. Parameter analysis is performed using linearization theory for different choices of parameters. The existence of Heteroclinic trajectory of Sil'nikov type is proved using an undetermined coefficient method. It connects two non trivial equilibrium points. As a consequence, the Sil'nikov criterion guarantees that STF flow has Smale horseshoes chaos.Chaotic behavior and detailedparameter analysis of stretch-twist-fold（STF）flow are investigated.STF flow is associated with fluid particle motion which naturally arises in the dynamo theory.It proposes a mechanism,by which a celestial bodies,such as earth and sun,can maintain and amplify the magnetic field continuously.Parameter analysis is performed using linearization the＇ory for different choices of parameters.The existenceofHeteroclinic trajectory of Sil＇nikov type is proved using an undetermined coefficient method.It connects two non trivial equilibrium points.As flow has Smale horses hoeschaos.the Sil＇nikov criterion guarantees that STF

关 键 词：混沌行为 扭折 待定系数法 发电机理 SIL 线性化 平衡点 

分 类 号：P14[天文地球—天体物理]