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Small Periodic Solutions Generated by Sublinear Terms
- Source :
-
Journal of Differential Equations . 2002, Vol. 179 Issue 1, p97. 36p. - Publication Year :
- 2002
-
Abstract
- The paper is concerned with Hopf bifurcations in systems of autonomous ordinary differential equations with a parameter. The principal distinction between usual theorems on Hopf bifurcations and our results is that here the linearized equation is degenerate and independent of the parameter. We present sufficient conditions for a parameter value to be a bifurcation point and analyze properties of small cycles arising in the vicinity of the equilibrium. Sublinear nonlinearities play the main role in the results obtained. [Copyright &y& Elsevier]
- Subjects :
- *DIFFERENTIAL equations
*BIFURCATION theory
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 179
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 8495667
- Full Text :
- https://doi.org/10.1006/jdeq.2000.4005