Economics, Econometrics and Finance
8 years ago

New research reveals optimal space for estimating correlation dimension in chaos theory.

International Journal of Bifurcation and Chaos
OPTIMAL RECONSTRUCTION SPACE FOR ESTIMATING CORRELATION DIMENSION
Robert C. Hilborn, Mingzhou Ding

Paper Summary

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The article explores how to find the best way to estimate the correlation dimension from chaotic time series data. By using a specific method called delay coordinates, researchers identified a reconstruction space that gives the most accurate results. They developed a theory that calculates the dimension of this optimal space based on certain dynamic properties of the system, like the largest Lyapunov exponent. This approach helps to improve the accuracy of estimating the correlation dimension from chaotic data.