The approximate solution of a classical quartic anharmonic oscillator with periodic force: a simple analytical approach

DOI10.1016/j.cnsns.2003.06.001zbMath1062.34503OpenAlexW2085261683MaRDI QIDQ706808

Swapan Mandal

Publication date: 9 February 2005

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2003.06.001

zbMATH Keywords

Anharmonic oscillatorTucking-in technique

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Related Items (1)

Energy partition for anharmonic, undamped, classical oscillators

Cites Work

• Classical damped quartic anharmonic oscillator: a simple analytical approach
• An intuitive approach to the higher-order solutions for classical and quantum oscillators of quartic anharmonicity
• Resonances in a continuously forced anharmonic oscillator
• The generalized Duffing equation with large damping
• Methods of nonlinear analysis. Vol. 1
• Quantum oscillator of quartic anharmonicity
• Classical and quantum oscillators of quartic anharmonicities: second-order solution
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