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两分量Bose-Einstein凝聚态系统的混沌与分支
引用本文:李继彬,陈凤娟. 两分量Bose-Einstein凝聚态系统的混沌与分支[J]. 浙江师范大学学报(自然科学版), 2008, 31(1): 1-7
作者姓名:李继彬  陈凤娟
作者单位:浙江师范大学,数理与信息工程学院,浙江,金华,321004;昆明理工大学,非线性研究中心,云南,昆明,650093
摘    要:研究了两分量Bose-Einstein凝聚态的混沌性态;用Melnikov方法严格地证明了该系统的混沌解和各阶次调和解的存在性;并用数值计算结果验证了理论的正确性.

关 键 词:混沌性态  次调和解分支  Melnikov方法  参数强迫激励  椭圆积分
文章编号:1001-5051(2008)01-0001-07
收稿时间:2007-10-17
修稿时间:2007-11-04

Chaos and bifurcations for the two-component Bose-Einstein condensate system
LI Jibin,CHEN Fengjuan. Chaos and bifurcations for the two-component Bose-Einstein condensate system[J]. Journal of Zhejiang Normal University Natural Sciences, 2008, 31(1): 1-7
Authors:LI Jibin  CHEN Fengjuan
Affiliation:LI Jibin, CHEN Fengjuan (1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004, China; 2. Nonlinear Research Center, Kunming University of Science and Technology, Kunming Yunnan 650093, China)
Abstract:Chaotic behavior for a two-component Bose-Einstein condensate was considered. Under a properly given parameter conditions, the existence of chaos motions and all possible types of subharmonic solutions was established. Futhermore, some numerical results were given.
Keywords:chaotic behavior   subharmonic bifurcations   Melnikov method   parametric and forced excitation   elliptic integral
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