The joining of local expansions in the theory of nonlinear oscillations

DOI10.1016/0021-8928(85)90072-3zbMath0614.70020OpenAlexW1972829460MaRDI QIDQ1819962

Yanyan Li

Publication date: 1985

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(85)90072-3

zbMATH Keywords

configuration spacesmall amplitudenormal oscillationsfinite number of degrees of freedomlocal expansionsnonlinear conservative systemsnormal modes of oscillationquasi-linear expansionrational- fractional Padé representations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Free motions in linear vibration theory (70J30) Dynamical systems and ergodic theory (37-XX)

Cites Work

• Unnamed Item
• Stability and branching of normal oscillation forms of nonlinear systems
• On periodic solutions close to rectilinear normal vibration modes
• On the existence of normal mode of vibrations of nonlinear systems with two degrees of freedom

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