PERIODIC-SOLUTIONS AND BIFURCATION BEHAVIOR IN THE PARAMETRICALLY DAMPED 2-WELL DUFFING EQUATION

被引:8
|
作者
XIE, FG
HU, G
机构
[1] BEIJING NORMAL UNIV,DEPT PHYS,BEIJING 100875,PEOPLES R CHINA
[2] ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
来源
PHYSICAL REVIEW E | 1995年 / 51卷 / 04期
关键词
D O I
10.1103/PhysRevE.51.2773
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We determine the stability boundaries of the stationary solutions of the parametrically damped two-well Duffing equation in terms of Floquet theory. The bifurcation behavior at the stability boundaries is investigated in detail. Many low primitive periodic solutions and their bifurcation structures in the parameter plane have been found by numerical simulation. The coexisting attractors of this system are also discussed. © 1995 The American Physical Society.
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页码:2773 / 2778
页数:6
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