A proof of the Jacobian conjecture on global asymptotic stability

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	A proof of the Jacobian conjecture on global asymptotic stability
	Chen, PN ; He, JX ; Qin, HS
	2001
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1000-9574
卷号	17 期号:1 页码:119-132
摘要	Let f is an element of C-1 (R-2, R-2), f(0) = 0. The Jacobian Conjecture states that if for any x is an element of R-2, the eigenvalues of the Jacobian matrix Df(x) have negative real parts, then the zero solution of the differential equation x (over dot) = f(x) is globally asymptotically stable. In this paper we prove that the conjecture is true.
关键词	plane differential equation global stability global injectivity
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000166696200010
出版者	SPRINGER-VERLAG SINGAPORE PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16720
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, PN
作者单位	1.China Inst Metrol, Div Mat, Hangzhou 310034, Peoples R China 2.Xiamen Univ, Dept Syst Sci, Xiamen 361005, Peoples R China 3.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, PN,He, JX,Qin, HS. A proof of the Jacobian conjecture on global asymptotic stability[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2001,17(1):119-132.
APA	Chen, PN,He, JX,&Qin, HS.(2001).A proof of the Jacobian conjecture on global asymptotic stability.ACTA MATHEMATICA SINICA-ENGLISH SERIES,17(1),119-132.
MLA	Chen, PN,et al."A proof of the Jacobian conjecture on global asymptotic stability".ACTA MATHEMATICA SINICA-ENGLISH SERIES 17.1(2001):119-132.