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Ermakov invariant and the general solution for a damped harmonic oscillator with a force quadratic in velocity

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Publication:2757880
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DOI10.1088/0305-4470/34/27/311zbMath1003.70017OpenAlexW1968979536MaRDI QIDQ2757880

Zhiyu Gu, Bowen Huang, Shangwu Qian

Publication date: 5 December 2001

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

Full work available at URL: https://doi.org/10.1088/0305-4470/34/27/311


zbMATH Keywords

variable massvariable frequencyErmakov invriantforce quadratic in velocitygeneralized Ermakov systemtime-dependent damped harmonic oscillator


Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Variable mass, rockets (70P05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)


Related Items (1)

APPLICATIONS OF LIE SYSTEMS IN DISSIPATIVE MILNE–PINNEY EQUATIONS




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