Reconstruction of Phase Space
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Chaos comprises a class of signals intermediate between regular sinusoidal or quasiperiodic motions and unpredictable, truly stochastic behavior. It has long been seen as a form of “noise” because the tools for its analysis were couched in a language tuned to linear processes. The main such tool is Fourier analysis which is precisely designed to extract the composition of sines and cosines found in an observation s(t). Indeed, to a Fourier analyst, chaos is little more than “noise”. It is broadband spectrally, but continuous broadband rather than just occupying a broad band of frequency space with a lot of sharp narrowband lines.
KeywordsPhase Space Lyapunov Exponent Sine Wave Phase Space Structure Quasiperiodic Motion
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