Differentiable rigidity and smooth conjugacy

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	Differentiable rigidity and smooth conjugacy
	Jiang, YP
	2005
发表期刊	ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
ISSN	1239-629X
卷号	30 期号:2 页码:361-383
摘要	We started a study of regularity of the conjugacy between two dynamical systems with singularities. We complete this study for quasi-hyperbolic maps. We prove that if the conjugacy between two quasi-hyperbolic maps is differentiable at one point with uniform bound, then it. is piecewise smooth. Furthermore, if the exponents of these two maps at all power law critical points are also the same, then the conjugacy is piecewise diffeomorphic. The degree of the smoothness of the conjugacy can be also calculated.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000232235200009
出版者	SUOMALAINEN TIEDEAKATEMIA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2289
专题	中国科学院数学与系统科学研究院
通讯作者	Jiang, YP
作者单位	1.CUNY Queens Coll, Dept Math, Flushing, NY 11367 USA 2.CUNY Grad Sch, Dept Math, New York, NY 10016 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Jiang, YP. Differentiable rigidity and smooth conjugacy[J]. ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA,2005,30(2):361-383.
APA	Jiang, YP.(2005).Differentiable rigidity and smooth conjugacy.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA,30(2),361-383.
MLA	Jiang, YP."Differentiable rigidity and smooth conjugacy".ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 30.2(2005):361-383.