Krasnosel'skii, Alexander M. and Mennicken, Reinhard and Rachinskii, Dmitrii I. (2002) Small periodic solutions generated by sublinear terms. JOURNAL OF DIFFERENTIAL EQUATIONS, 179 (1). pp. 97-132. ISSN 0022-0396
Full text not available from this repository. (Request a copy)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, (C) 2002 Elsevier Science.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Hopf bifurcation; autonomous system; periodic oscillations |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Nov 2021 10:08 |
| Last Modified: | 09 Nov 2021 10:08 |
| URI: | https://pred.uni-regensburg.de/id/eprint/40599 |
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