Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Transactions of the Moscow Mathematical Society
Transactions of the Moscow Mathematical Society
ISSN 1547-738X(online) ISSN 0077-1554(print)

 

Analytic classification of saddle nodes


Authors: S. M. Voronin and Yu. I. Meshcheryakova
Translated by: G. G. Gould
Original publication: Trudy Moskovskogo Matematicheskogo Obshchestva, tom 66 (2005).
Journal: Trans. Moscow Math. Soc. 2005, 85-103
MSC (2000): Primary 82B44, 82C44, 60K35; Secondary 47N55, 47B80
Published electronically: November 9, 2005
MathSciNet review: 2193430
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Isolated degenerate elementary singular points (saddle nodes) of germs of holomorphic vector fields in $ (\mathbb{C}^2,0)$ are studied. An analytic classification of them is obtained; it is shown that the analytic classification has two times more moduli (numeric and functional) than the orbital analytic classification. A theorem on sectorial normalization is proved.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the Moscow Mathematical Society with MSC (2000): 82B44, 82C44, 60K35, 47N55, 47B80

Retrieve articles in all journals with MSC (2000): 82B44, 82C44, 60K35, 47N55, 47B80


Additional Information

S. M. Voronin
Affiliation: Chernigov State University, Chernigov, Ukraine
Email: ivanlosev@yandex.ru

Yu. I. Meshcheryakova
Affiliation: Chernigov State University, Chernigov, Ukraine

DOI: http://dx.doi.org/10.1090/S0077-1554-05-00151-2
PII: S 0077-1554(05)00151-2
Published electronically: November 9, 2005
Additional Notes: This work was carried out with the support of RFFI (Grant No. 03-01-00270), CDRF (Grant No. RM-1-2358-MO-02).
Article copyright: © Copyright 2005 American Mathematical Society