Stability criteria for reaction-diffusion systems with skew-gradient structure

doi:10.1080/03605300601188755

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	Stability criteria for reaction-diffusion systems with skew-gradient structure
	Chen, Chao-Nien 1; Hu, Xijun 2
	2008
发表期刊	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN	0360-5302
卷号	33 期号:2 页码:189-208
摘要	This paper deals with reaction-diffusion systems with skew-gradient structure. In connection with calculus of variations, we show that there is a close relation between the stability of a steady state and its relative Morse index. The stability criteria presented here were partially motivated by some recent works of Yanagida.
关键词	reaction-diffusion system relative Morse index skew-gradient structure stability
DOI	10.1080/03605300601188755
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000252933100002
出版者	TAYLOR & FRANCIS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6761
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, Chao-Nien
作者单位	1.Natl Changhua Univ Educ, Dept Math, Changhua, Taiwan 2.Chinese Acad Sci, AMSS, Inst Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Chen, Chao-Nien,Hu, Xijun. Stability criteria for reaction-diffusion systems with skew-gradient structure[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2008,33(2):189-208.
APA	Chen, Chao-Nien,&Hu, Xijun.(2008).Stability criteria for reaction-diffusion systems with skew-gradient structure.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,33(2),189-208.
MLA	Chen, Chao-Nien,et al."Stability criteria for reaction-diffusion systems with skew-gradient structure".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 33.2(2008):189-208.