Kondratieva Liudmila A. and Romanov Aleksandr V.: Inertial manifolds and limit cycles of dynamical systems in Rn. (2019)
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Abstract
We show that the presence of a two-dimensional inertial manifold for an ordinary differential equation in Rn permits reducing the problem of determining asymptotically orbitally stable limit cycles to the Poincaré–Bendixson theory. In the case n = 3 we implement such a scenario for a model of a satellite rotation around a celestial body of small mass and for a biochemical model.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 96 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-11 |
| DOI: | 10.14232/ejqtde.2019.1.96 |
| Uncontrolled Keywords: | Differenciálegyenlet - közönséges |
| Additional Information: | Bibliogr.: 11. p. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Jan. 28. 08:34 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/66363 |
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