On the frequency-amplitude formulation for nonlinear oscillators with general initial conditions

DOI10.1007/S40819-021-01046-XzbMath1492.34035OpenAlexW3165295014MaRDI QIDQ2114765

Yanyan Li

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01046-x

zbMATH Keywords

Hamiltonian approachnonlinear dynamicsancient Chinese mathematics

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

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Cites Work

• A gecko-like fractal receptor of a three-dimensional printing technology: a fractal oscillator
• Amplitude-frequency relationship for conservative nonlinear oscillators with odd nonlinearities
• FRACTAL OSCILLATION AND ITS FREQUENCY-AMPLITUDE PROPERTY
• LOW FREQUENCY PROPERTY OF A FRACTAL VIBRATION MODEL FOR A CONCRETE BEAM
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation

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