On the stability of the equilibrium position in critical and near- critical cases

DOI10.1016/0021-8928(81)90083-6zbMath0511.34036OpenAlexW2010043157MaRDI QIDQ1839081

L. G. Khazin, Emmanuil E. Shnol

Publication date: 1981

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(81)90083-6

zbMATH Keywords

autonomous systemsescaping solutions

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

Related Items

Semi-invariant form of equilibrium stability criteria in critical cases, Algebraically and analytically solvable local problems in the theory of ordinary differential equations, Interaction of third-order resonances in problems of the stability of Hamiltonian systems

Cites Work

• Certain stability questions in the presence of resonances
• Stability theory by Liapunov's direct method
• Algebraic unsolvability of the problem of Lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations
• The stability of periodic motions
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