Localization of an unstable solution of a system of three nonlinear ordinary differential equations with a small parameter

DOI10.33048/sibjim.2021.25.417zbMath1545.34082MaRDI QIDQ6558791

Nataliya Alekseevna Chumakova, Gennadii A. Chumakov

Publication date: 21 June 2024

Published in: Sibirskiĭ Zhurnal Industrial'noĭ Matematiki (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionasymptotic expansionAndronov-Hopf bifurcationnonlinear ordinary differential equations (ODEs)ODEs with small parameter

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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