Reconstruction of Phase Space

  • Henry D. I. Abarbanel
Part of the Institute for Nonlinear Science book series (INLS)


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.


Phase Space Lyapunov Exponent Sine Wave Phase Space Structure Quasiperiodic Motion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Henry D. I. Abarbanel
    • 1
  1. 1.Institute for Nonlinear ScienceUniversity of California—San DiegoLa JollaUSA

Personalised recommendations