On exact solutions for damped anharmonic oscillators

DOI10.1088/0305-4470/22/6/002zbMath0677.34037OpenAlexW2064478815MaRDI QIDQ3832879

K. Cyrus, Willi-Hans Steeb, Norbert Euler

Publication date: 1989

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/22/6/002

zbMATH Keywords

anharmonic oscillatorconstraintPainlevé test

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Free motions in linear vibration theory (70J30)

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A new exact solution of a damped quadratic non-linear oscillator ⋮ Lyapunov exponents for a Duffing oscillator ⋮ Parametrically driven pendulum and exact solutions ⋮ Partial integrability of the anharmonic oscillator ⋮ Reconstruction of \(f(R)\) Lagrangian from a massive scalar field ⋮ Invertible point transformations, Painlevé test, and the second Painlevé transcendent

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