Asymptotic stability at 1:3 resonance

DOI10.1016/0021-8928(96)00004-4zbMath0878.34049OpenAlexW2075430875MaRDI QIDQ1361937

P. S. Krasil'nikov

Publication date: 15 January 1998

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(96)00004-4

zbMATH Keywords

critical caseLyapunov functionasymptotic stabilityalgebraic criteriasubmanifold of positive measure of parameter space

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (3)

Asymptotic stability at 1:3 resonance ⋮ The resonance stabilization of a class of unstable systems ⋮ Asymptotic decay of solutions to an essentially nonlinear system with two-frequency resonances

Cites Work

• The stability of multidimensional Hamiltonian systems
• On the asymptotic stability of resonance systems
• On stability of mechanical systems under the action of position forces
• Asymptotic stability at 1:3 resonance
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