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Exact solutions for oscillators with quadratic damping and mixed-parity nonlinearity

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Publication:2890899
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DOI10.1088/0031-8949/85/04/045006zbMath1310.34046OpenAlexW1981209705MaRDI QIDQ2890899

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Publication date: 12 June 2012

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0031-8949/85/04/045006



Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)


Related Items (6)

Oscillators with symmetric and asymmetric quadratic nonlinearity ⋮ Equilibrium configurations of the noncircular cross-section elastic rod model with the elliptic KB method ⋮ Liouvillian integrability and the Poincaré problem for nonlinear oscillators with quadratic damping and polynomial forces ⋮ Truly nonlinear oscillator with limit cycles and harmonic solutions ⋮ The frequency estimation for non‐conservative nonlinear oscillation ⋮ Closed-form exact solutions for the unforced quintic nonlinear oscillator







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