Maxwell-Bloch方程的Hopf分叉研究  

Study on Hopf bifurcation for Maxwell-Bloch equation

作　　者：汪灵杰[1] 赵晓华[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2013年第1期37-44,共8页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(10872183;2269)

摘　　要：主要考虑了基于Maxwell-Bloch方程激光模型的动力学行为,分析了Maxwell-Bloch方程的平衡点稳定性和Hopf分叉行为,给出了相应的数值模拟及分叉图.The dynamic behavior of the laser model： the Maxwell-Bloch equations was studied. Stability of equilibrium, Hopf bifurcation behavior in this system were investigated in detail and the associated numerical simulation and bifurcation diagrams were also presented.

关 键 词：Maxwell-Bloch方程 中心流形 HOPF分叉 数值模拟 

分 类 号：O175.14[理学—数学]