On the stability of the zero solution of a periodic reversible second-order differential equation

DOI10.1134/S1063454122030062OpenAlexW4294958049WikidataQ114075014 ScholiaQ114075014MaRDI QIDQ2103884

Yuri N. Bibikov

Publication date: 9 December 2022

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454122030062

zbMATH Keywords

stabilityoscillatorsecond-order differential equationstranscendencereversibilityperiodic perturbations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Stability of solutions to ordinary differential equations (34D20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifolds for ordinary differential equations (34C45) Nonautonomous smooth dynamical systems (37C60)

Cites Work

• Periodic perturbations of a nonconservative center
• On the stability of the nonlinear center under quasi-periodic perturbations
• Convergent series expansions for quasi-periodic motions
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