Regular and singular periodic perturbations of an oscillator with cubic restoring force

DOI10.3103/S1063454110020044zbMath1266.34083MaRDI QIDQ1759549

A. A. Dorodenkov, V. R. Bukaty, Yuri N. Bibikov

Publication date: 21 November 2012

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

zbMATH Keywords

stabilitysingular perturbationregular perturbationinvariant torus

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Singular perturbations of ordinary differential equations (34D15) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

Cites Work

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• Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency
• Integral manifolds of perturbed differential systems

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