20 November 2001 Equilibria in transition
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We investigate the motion of a single particle in transition from one equilibrium state to another via time-frequency analysis. Between quasi-stationary regimes a sudden change of state occurs, and we show that the Cohen-Lee local variance tracks well this highly nonstationary, sudden transient motion. In the quasi-stationary regime, instantaneous equilibria yield simple harmonic motion when the amplitude of oscillation is sufficiently small. Nonlinear effects induce harmonic generation for larger amplitude oscillations.
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David H. Hughes, David H. Hughes, Robert A. Hedges, Robert A. Hedges, Bruce W. Suter, Bruce W. Suter, "Equilibria in transition", Proc. SPIE 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI, (20 November 2001); doi: 10.1117/12.448689; https://doi.org/10.1117/12.448689

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