Singular hyperbolicity of star flows on surfaces

Verfasser / Beitragende:
[Sheng Zhu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/9(2015-09-01), 1415-1423
Format:
Artikel (online)
ID: 605461236
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024 7 0 |a 10.1007/s10114-015-4709-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4709-3 
100 1 |a Zhu  |D Sheng  |u School of Science, Beijing Jiaotong University, 100044, Beijing, P. R. China  |4 aut 
245 1 0 |a Singular hyperbolicity of star flows on surfaces  |h [Elektronische Daten]  |c [Sheng Zhu] 
520 3 |a In this paper, we prove that every star flow on the closed surface has finitely many chain recurrent classes. Furthermore, it is singular hyperbolic if every non-trivial singular chain component is a graph. As a consequence, every star flow on the 2-sphere or the projective plane is singular hyperbolic. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Star flow  |2 nationallicence 
690 7 |a singular hyperbolicity  |2 nationallicence 
690 7 |a chain recurrent class  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/9(2015-09-01), 1415-1423  |x 1439-8516  |q 31:9<1415  |1 2015  |2 31  |o 10114 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Zhu  |D Sheng  |u School of Science, Beijing Jiaotong University, 100044, Beijing, P. R. China  |4 aut 
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