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An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity. (English) Zbl 0459.70024


MSC:

70K99 Nonlinear dynamics in mechanics
34A34 Nonlinear ordinary differential equations and systems
70F99 Dynamics of a system of particles, including celestial mechanics
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References:

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[2] DOI: 10.1063/1.1664532 · Zbl 0167.52501 · doi:10.1063/1.1664532
[3] DOI: 10.1063/1.1664532 · Zbl 0167.52501 · doi:10.1063/1.1664532
[4] DOI: 10.1063/1.1724285 · Zbl 0113.21201 · doi:10.1063/1.1724285
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[15] DOI: 10.1063/1.523935 · Zbl 0424.70025 · doi:10.1063/1.523935
[16] DOI: 10.1086/110172 · doi:10.1086/110172
[17] DOI: 10.1143/ptp/3.4.440 · doi:10.1143/ptp/3.4.440
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[19] DOI: 10.1063/1.523934 · Zbl 0424.70024 · doi:10.1063/1.523934
[20] DOI: 10.1088/0305-4470/11/2/005 · Zbl 0369.22020 · doi:10.1088/0305-4470/11/2/005
[21] DOI: 10.1088/0305-4470/9/4/007 · Zbl 0321.34034 · doi:10.1088/0305-4470/9/4/007
[22] DOI: 10.1088/0305-4470/9/4/007 · Zbl 0321.34034 · doi:10.1088/0305-4470/9/4/007
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