Abstract
For a two-dimensional oscillatory system with imaginary characteristic roots of linearized equations, a method is proposed that simplifies calculations and does not require the analyticity of the right-hand sides of the equations. The method is based on the decomposition of the vector function of the right-hand sides of the equations into solenoidal and potential components. Integral estimates for the stability of the equilibrium position are obtained.
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Translated by Sh. Galyaltdinov
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Nesterov, S.V. On the One Method of Analyzing the Stability of Rest Points in Critical Cases. Mech. Solids 58, 2557–2562 (2023). https://doi.org/10.3103/S0025654423070166
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DOI: https://doi.org/10.3103/S0025654423070166