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Summary and Conclusions

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

Abstract

The theme of this book has been the development of tools for the analysis of observed nonlinear systems. Primarily we have focused on ways to analyze chaotic motions of nonlinear systems as such motions are continuous, broadband spectrally and clearly require different tools for their analysis than linear systems operating in modes producing narrowband signals. Along the way we have pointed out places where the time domain, state space methods of analysis, especially those which are local in multivariate state space, have interesting applications to issues little connected to chaos. The modeling of inputs in terms of output phase space and the representation of one dynamical variable in terms of the reconstructed state space of another, are two examples of this.

Keywords

Phase Space Lyapunov Exponent Strange Attractor Average Mutual Information Phase Space Reconstruction 
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.

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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

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