中国物理B ›› 2011, Vol. 20 ›› Issue (9): 94701-094701.doi: 10.1088/1674-1056/20/9/094701
• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇 下一篇
黄琼伟, 唐驾时
Huang Qiong-Wei(黄琼伟)† and Tang Jia-Shi(唐驾时)
摘要: Under the periodic boundary condition, dynamic bifurcation and stability in the modified Kuramoto—Sivashinsky equation with a higher-order nonlinearity μ(ux)puxx are investigated by using the centre manifold reduction procedure. The result shows that as the control parameter crosses a critical value, the system undergoes a bifurcation from the trivial solution to produce a cycle consisting of locally asymptotically stable equilibrium points. Furthermore, for cases in which the distances to the bifurcation points are small enough, one-order approximations to the bifurcation solutions are obtained.
中图分类号: (Nonlinearity, bifurcation, and symmetry breaking)