Exact and approximate solutions for the anti-symmetric quadratic truly nonlinear oscillator

DOI10.1016/J.AMC.2014.08.005zbMath1338.34077OpenAlexW2015621490MaRDI QIDQ295209

F. Blanchet-Sadri, M. Dambrine

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10045/39980

zbMATH Keywords

nonlinear oscillatorsapproximate solutionssymbolic computationconservative systemsFourier series expansiontruly oscillators

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for ordinary differential equations (65L99)

Cites Work

• Oscillator with a sum of noninteger-order nonlinearities
• A finite extensibility nonlinear oscillator
• Rational harmonic balance-based approximate solutions to nonlinear single-degree-of-freedom oscillator equations
• Analytical approximate solutions for conservative nonlinear oscillators by modified rational harmonic balance method
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