Krasnosel'skii, Alexander and Mennicken, Reinhard and Rachinskii, Dmitrii (2002) Cycle stability for Hopf bifurcation generated by sublinear terms. MATHEMATISCHE NACHRICHTEN, 233. pp. 171-195. ISSN 0025-584X
Full text not available from this repository. (Request a copy)Abstract
The paper is concerned with the study of small stable cycles of autonomous quasilinear systems depending on a parameter. Sufficient conditions are presented for the existence of such cycles for control theory equations with scalar nonlinearities. The principal distinction of the case considered from usual results on Hopf bifurcations is that the linear part of the problem is degenerate for all the parameter values (not only at a bifurcation point). Small sublinear nonlinearities play the main role in our results. The proofs are based on the theory of monotone operators.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; Hopf bifurcation; orbitally stable oscillations; partial ordering; monotone operator |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Nov 2021 15:49 |
| Last Modified: | 17 Nov 2021 15:49 |
| URI: | https://pred.uni-regensburg.de/id/eprint/40791 |
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