| Bifurcation from two equilibria of steady state solutions for non-reversible amplitude equations |
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| 作者姓名： | Yancong Xu Rui Xu Yu Yang |
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| 作者单位： | Department of Mathematics, Hangzhou Normal University, No. 16, Xuelin Street, Hangzhou, China,Department of Mathematics, Hangzhou Normal University, No. 16, Xuelin Street, Hangzhou, China,School of Science and Technology, Zhejiang International Studies University, No. 140, Wensan Road, Hangzhou, China |
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| 摘 要： |
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| 收稿时间： | 2016/9/24 0:00:00 |
| 修稿时间： | 2016/9/24 0:00:00 |
Bifurcation from two equilibria of steady state solutions for non-reversible amplitude equations |
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| Yancong Xu,Rui Xu,Yu Yang.Bifurcation from two equilibria of steady state solutions for non-reversible amplitude equations[J].Journal of Applied Analysis & Computation,2017,7(4):1448-1462. |
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| Authors: | Yancong Xu Rui Xu and Yu Yang |
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| Institution: | Department of Mathematics, Hangzhou Normal University, No. 16, Xuelin Street, Hangzhou, China,Department of Mathematics, Hangzhou Normal University, No. 16, Xuelin Street, Hangzhou, China and School of Science and Technology, Zhejiang International Studies University, No. 140, Wensan Road, Hangzhou, China |
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| Abstract: | In this paper, bifurcation and stability of two kinds of constant stationary solutions for non-reversible amplitude equations on a bounded domain with Neumann boundary conditions are investigated by using the perturbation theory and weak nonlinear analysis. The asymptotic behaviors and local properties of two explicit steady state solutions, and pitch-fork bifurcations are also obtained if the bounded domain is regarded as a parameter. In addition, the stability of a new increasing or decaying local steady state solution with oscillations are analyzed. |
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| Keywords: | Bifurcation stability perturbed amplitude equations eigenvalue problems |
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