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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 5, Pages 982–991
DOI: https://doi.org/10.33048/smzh.2023.64.507 (Mi smj7809) 		 
Invariant algebraic manifolds for the Rucklidge model of double convection

M. V. Demina, D. O. Ilyukhin

Moscow Institute of Electronics and Mathematics — Higher School of Economics
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DOI: https://doi.org/10.33048/smzh.2023.64.507
Abstract: Invariant manifolds are important for describing the dynamics of systems of ODEs. In this article we classify invariant algebraic manifolds in the model of double convection given by a three-dimensional quadratic differential system. We find the explicit solutions to this system whose trajectories lie on invariant manifolds.
Keywords: invariant manifold, Puiseux series, algebraic invariants.
Funding agency Grant number
HSE Basic Research Program
Received: 14.03.2023
Revised: 11.07.2023
Accepted: 02.08.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 5, Pages 1145–1152
DOI: https://doi.org/10.1134/S0037446623050075
Document Type: Article
UDC: 517.912+517.925
MSC: 35R30
Language: Russian
Citation: M. V. Demina, D. O. Ilyukhin, “Invariant algebraic manifolds for the Rucklidge model of double convection”, Sibirsk. Mat. Zh., 64:5 (2023), 982–991; Siberian Math. J., 64:5 (2023), 1145–1152
Citation in format AMSBIB
\Bibitem{DemIly23}
\by M.~V.~Demina, D.~O.~Ilyukhin
\paper Invariant algebraic manifolds for the Rucklidge model of double convection
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 5
\pages 982--991
\mathnet{http://mi.mathnet.ru/smj7809}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 5
\pages 1145--1152
\crossref{https://doi.org/10.1134/S0037446623050075}
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