On a new criterion for evaluating the stability of the limit cycles of perturbed duffing oscillators

DOI10.1080/02681119208806136zbMath0780.34030OpenAlexW2063383112MaRDI QIDQ4693287

S. Bravo Yuste

Publication date: 23 January 1994

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119208806136

zbMATH Keywords

Jacobi elliptic functionsstability of limit cyclesperturbed Duffing oscillatorsmethod of Krylov-Bogolyubov typePoincaré's criterion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• Construction of approximate analytical solutions to a new class of non-linear oscillator equations
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• Generalized fourier series for the study of limit cycles
• A generalized Galerkin method for cubic oscillators
• Improvement of a Krylov-Bogoliubov method that uses Jacobi elliptic functions
• Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis

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