Summary and Conclusions
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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.
KeywordsPhase Space Lyapunov Exponent Strange Attractor Average Mutual Information Phase Space Reconstruction
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