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Experimental nonlinear physics
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DOI：10.1016/S0016-0032(97)00028-8.png)
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摘要
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This review gives an account of the historical development, the current state and possible future developments of experimental nonlinear physics, with emphasis on acoustics, hydrodynamics and optics. The concepts of nonlinear time-series analysis which are the basis of the analysis of experimental outcomes from nonlinear systems are explained and recent developments pertaining to such different fields as modeling, prediction, nonlinear noise reduction, detecting determinism, synchronization, and spatio-temporal time series are surveyed. An overview is given of experiments on acoustic cavitation, a field rich in nonlinear phenomena such as nonlinear oscillations, chaotic dynamics and structure formation, and one of the first physical systems to exhibit period-doubling and chaos in experiment. (C) 1997 The Franklin Institute. Published by Elsevier Science Ltd.
Keyword:
CHAOTIC TIME-SERIES
STATE-SPACE RECONSTRUCTION
LOW-DIMENSIONAL DYNAMICS
LYAPUNOV EXPONENTS
STRANGE ATTRACTORS
LIAPUNOV EXPONENTS
GENERALIZED SYNCHRONIZATION
SPATIOTEMPORAL DYNAMICS
THERMOACOUSTIC ENGINES
PHASE SYNCHRONIZATION
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