Local phase portraits through the Newton diagram of a vector field
Gespeichert in:
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)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3663-4 |2 doi |
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| 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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| 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 | ||