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Complex hopf bifurcation of integral surfaces

Complex hopf bifurcation of integral surfaces The existence of the Hopf bifurcation of a complex ordinary differential equation system in the complex domain is studied in this paper by using the complex qualitative theory. In the complex domain, we conclude that the Hopf bifurcation appears for both directions of the parameterμ. The formulae of the Hopf bifurcation are also given in this paper. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Complex hopf bifurcation of integral surfaces

Acta Mathematicae Applicatae Sinica , Volume 9 (4) – Jul 13, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1993 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/BF02005923
Publisher site
See Article on Publisher Site

Abstract

The existence of the Hopf bifurcation of a complex ordinary differential equation system in the complex domain is studied in this paper by using the complex qualitative theory. In the complex domain, we conclude that the Hopf bifurcation appears for both directions of the parameterμ. The formulae of the Hopf bifurcation are also given in this paper.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 13, 2005

References