Local phase portraits through the Newton diagram of a vector field

Verfasser / Beitragende:
[Antonio Algaba, Isabel Checa, Cristóbal García, Manuel Reyes]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/6(2015-06-01), 1015-1034
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10114-015-3663-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3663-4 
245 0 0 |a Local phase portraits through the Newton diagram of a vector field  |h [Elektronische Daten]  |c [Antonio Algaba, Isabel Checa, Cristóbal García, Manuel Reyes] 
520 3 |a The Newton diagram and, in particular, the lowest-degree quasi-homogeneous terms of an analytic planar vector field allow us to determine the existence of characteristic orbits and separatrices of an isolated singular point. We give an easy algorithm for obtaining the local phase portrait near the origin of a bi-dimensional differential system and we provide several examples. 
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 Monodromy  |2 nationallicence 
690 7 |a separatrices  |2 nationallicence 
690 7 |a phase portraits  |2 nationallicence 
690 7 |a quasi-homogeneous vector field  |2 nationallicence 
700 1 |a Algaba  |D Antonio  |u Department of Mathematics, Faculty of Experimental Sciences, Avda. Tres de Marzo s/n, 21071, Huelva, Spain  |4 aut 
700 1 |a Checa  |D Isabel  |u Department of Mathematics, Faculty of Experimental Sciences, Avda. Tres de Marzo s/n, 21071, Huelva, Spain  |4 aut 
700 1 |a García  |D Cristóbal  |u Department of Mathematics, Faculty of Experimental Sciences, Avda. Tres de Marzo s/n, 21071, Huelva, Spain  |4 aut 
700 1 |a Reyes  |D Manuel  |u Department of Mathematics, Faculty of Experimental Sciences, Avda. Tres de Marzo s/n, 21071, Huelva, Spain  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/6(2015-06-01), 1015-1034  |x 1439-8516  |q 31:6<1015  |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 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-3663-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Algaba  |D Antonio  |u Department of Mathematics, Faculty of Experimental Sciences, Avda. Tres de Marzo s/n, 21071, Huelva, Spain  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Checa  |D Isabel  |u Department of Mathematics, Faculty of Experimental Sciences, Avda. Tres de Marzo s/n, 21071, Huelva, Spain  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a García  |D Cristóbal  |u Department of Mathematics, Faculty of Experimental Sciences, Avda. Tres de Marzo s/n, 21071, Huelva, Spain  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Reyes  |D Manuel  |u Department of Mathematics, Faculty of Experimental Sciences, Avda. Tres de Marzo s/n, 21071, Huelva, Spain  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/6(2015-06-01), 1015-1034  |x 1439-8516  |q 31:6<1015  |1 2015  |2 31  |o 10114