On the structure of integral surfaces near a higher order focus and saddle
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Abstract
In this paper the structure of integral surfaces near a higher order focus and saddle, of ordinary differential equations in complex domain is studied by reducing to the normal form system. The formulae of the normal form system are also given.
Keywords
Differential Equation Ordinary Differential Equation Normal Form Form System Math Application
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References
- [1]Qin, Y.X., The Integral Surface Defined by Ordinary Differential Equations (in Chinese), North-West University Press, Xi'an, China, 1985.Google Scholar
- [2]Qin, Y.X., New Progress on The Integral Surfaces Theory Defined by Ordinary Differential Equations,Chinese Science Bulletin,33 (1988), 1361–1363.Google Scholar
- [3]Qin, Y.X., Zhao, H.Z., Theory of Singular Points of Ordinary Differential Equations in Complex Domain,Acta Mathematicae Applicatae Sinica (English Series),8(4) (1992), 298–317.Google Scholar
Copyright information
© Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A. 1993