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Hopf bifurcation analysis in the system
- Source :
-
Nonlinear Analysis: Real World Applications . Feb2010, Vol. 11 Issue 1, p522-527. 6p. - Publication Year :
- 2010
-
Abstract
- Abstract: In this paper, a three dimensional autonomous nonlinear system called the system which has potential application in secure communications is considered. By choosing an appropriate bifurcation parameter, we prove that the system displays a Hopf bifurcation under certain conditions. By applying normal form theory, the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are presented. Finally, a numerical example is given to support the analytic results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 14681218
- Volume :
- 11
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis: Real World Applications
- Publication Type :
- Academic Journal
- Accession number :
- 45070152
- Full Text :
- https://doi.org/10.1016/j.nonrwa.2009.01.007