Inertial manifolds and limit cycles of dynamical systems in Rn

Kondratieva Liudmila A. and Romanov Aleksandr V.: Inertial manifolds and limit cycles of dynamical systems in Rn. (2019)

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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

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