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W3099714760 abstract "The swinging spring, or elastic pendulum, has a 2:1:1 resonance arising at cubic order in its approximate Lagrangian. The corresponding modulation equations are the well-known three-wave equations that also apply, for example, in laser-matter interaction in a cavity. We use Hamiltonian reduction and pattern evocation techniques to derive a formula that describes the characteristic feature of this system's dynamics, namely, the stepwise precession of its azimuthal angle." @default.
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W3099714760 title "Stepwise Precession of the Resonant Swinging Spring" @default.
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W3099714760 doi "https://doi.org/10.1137/s1111111101388571" @default.
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