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Theory of singular points of ordinary differential equations in complex domain

Theory of singular points of ordinary differential equations in complex domain In this paper, the topological of integral surfaces near certain of Lyapunov type singular points and certain type of nodes of ordinary differential equations in complex domain are studied. We introduce Briot-Bouquet transformation, in order to study the topological structure of integral surfaces near higher order singular points. At last we give an estimate of the maximum number of isolated limit integral surfaces passing through certain type of higher order singular points. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Theory of singular points of ordinary differential equations in complex domain

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Publisher
Springer Journals
Copyright
Copyright © 1992 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02006739
Publisher site
See Article on Publisher Site

Abstract

In this paper, the topological of integral surfaces near certain of Lyapunov type singular points and certain type of nodes of ordinary differential equations in complex domain are studied. We introduce Briot-Bouquet transformation, in order to study the topological structure of integral surfaces near higher order singular points. At last we give an estimate of the maximum number of isolated limit integral surfaces passing through certain type of higher order singular points.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References