Equilibria in transition

David H. Hughes; Robert A. Hedges; Bruce W. Suter

doi:10.1117/12.448689

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20 November 2001 Equilibria in transition

David H. Hughes, Robert A. Hedges, Bruce W. Suter

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Proceedings Volume 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI; (2001) https://doi.org/10.1117/12.448689
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

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, Robert A. Hedges, and Bruce W. Suter "Equilibria in transition", Proc. SPIE 4474, Advanced Signal Processing Algorithms, Architectures, and Implementations XI, (20 November 2001); https://doi.org/10.1117/12.448689

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