Point resonance in a system of two oscillators

DOI10.1016/0021-8928(82)90103-4zbMath0524.70029OpenAlexW2006346278MaRDI QIDQ584941

S. A. Lomov, Yu. P. Gubin, Valeriĭ Fedorovich Safonov

Publication date: 1982

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(82)90103-4

zbMATH Keywords

approximate solutionregularization methodinstantaneous frequencycoupling resonanceexternal resonanceresonance crossingsingular matching problem at internal boundary layer avoidedsingular transformationtwo scale method

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Asymptotic expansions of solutions to ordinary differential equations (34E05) Nonlinear resonances for nonlinear problems in mechanics (70K30) Asymptotic theory for ordinary differential equations (34E99)

Cites Work

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• Regularization method for systems with a weak nonlinearity in the resonance case
• Resonance in a Weakly Nonlinear System with Slowly Varying Parameters

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