N. B. Medvedeva, “Monodromy criterion for a singular point of a plane vector field”, Algebra i Analiz, 13:2 (2001), 130–150; St. Petersburg Math. J., 13:2 (2002), 253

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Algebra i Analiz, 2001, Volume 13, Issue 2, Pages 130–150 (Mi aa929)

This article is cited in 13 scientific papers (total in 13 papers)

Research Papers

Monodromy criterion for a singular point of a plane vector field

N. B. Medvedeva

Chelyabinsk State University

Full-text PDF (1094 kB) Citations (13)

Received: 20.06.2000

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: N. B. Medvedeva, “Monodromy criterion for a singular point of a plane vector field”, Algebra i Analiz, 13:2 (2001), 130–150; St. Petersburg Math. J., 13:2 (2002), 253–268

Citation in format AMSBIB

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\by N.~B.~Medvedeva

\paper Monodromy criterion for a~singular point of a~plane vector field

\jour Algebra i Analiz

\yr 2001

\vol 13

\issue 2

\pages 130--150

\mathnet{http://mi.mathnet.ru/aa929}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1834863}

\zmath{https://zbmath.org/?q=an:1003.37014}

\transl

\jour St. Petersburg Math. J.

\yr 2002

\vol 13

\issue 2

\pages 253--268

Linking options:

https://www.mathnet.ru/eng/aa929

https://www.mathnet.ru/eng/aa/v13/i2/p130

Addendum

Additions to: N. B. Medvedeva, A monodromy criterion for a singular point of a vector field on the plane (Algebra i Analiz 13 (2001), no. 3, 240–240)
Algebra i Analiz, 2001, 13:3, 240

This publication is cited in the following 13 articles:

N. B. Medvedeva, “The problem of distinguishing between a centre and a focus in the space of vector fields with given Newton diagram”, Sb. Math., 211:10 (2020), 1399–1446
N. B. Medvedeva, V. A. Viktorova, “Priblizhennoe vychislenie integralov Adamara spetsialnogo vida”, Chelyab. fiz.-matem. zhurn., 4:4 (2019), 398–411
Algaba A., Gamer E., Garcia C., “the Center Problem. a View From the Normal Form Theory”, J. Math. Anal. Appl., 434:1 (2016), 680–697
Algaba A., Garcia C., Reyes M., “Monodromy of a Class of Analytic Generalized Nilpotent Systems Through Their Newton Diagram”, J. Comput. Appl. Math., 287 (2015), 78–87
Algaba A., Garcia C., Reyes M., “A New Algorithm For Determining the Monodromy of a Planar Differential System”, Appl. Math. Comput., 237 (2014), 419–429
A. S. Voronin, N. B. Medvedeva, “Asymptotics of the monodromy transformation in certain classes of monodromy germs”, Izv. Math., 77:2 (2013), 253–270
N. B. Medvedeva, “On analytic insolubility of the stability problem on the plane”, Russian Math. Surveys, 68:5 (2013), 923–949
Algaba A., Garcia C., Reyes M., “Characterization of a monodromic singular point of a planar vector field”, Nonlinear Analysis-Theory Methods & Applications, 74:16 (2011), 5402–5414
Algaba A., Freire E., Gamero E., Garcia C., “Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems”, Nonlinear Analysis-Theory Methods & Applications, 72:3–4 (2010), 1726–1736
N. B. Medvedeva, “On the Analytic Solvability of the Problem of Distinguishing between Center and Focus”, Proc. Steklov Inst. Math., 254 (2006), 7–93
Garcia I.A., Gine J., Grau M., “A necessary condition in the monodromy problem for analytic differential equations on the plane”, J Symbolic Comput, 41:9 (2006), 943–958
Medvedeva N.B., “On an analytic solvability of the center–focus problem”, Doklady Mathematics, 69:1 (2004), 120–122
N. B. Medvedeva, “Problema razlicheniya tsentra i fokusa v klasse rostkov s dvumya rebrami diagrammy Nyutona”, Vestnik ChelGU, 2003, no. 9, 86–110

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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