The `Ermakov - Lewis' invariants for coupled linear oscillators
作者： Karl-Erik Thylwe , H Jürgen Korsch
DOI: 10.1088/0305-4470/31/14/002
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摘要: We consider N coupled linear oscillators with time-dependent coefficients. An exact complex amplitude-real phase decomposition of the oscillatory motion is constructed. This further used to derive constants which generalize so-called Ermakov-Lewis invariant a single oscillator. In Floquet problem periodic oscillator coefficients we discuss existence amplitude functions in terms existing solutions.
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