Summary
Some characteristics of the bi-orthogonal-decomposition method are rigorously described and compared to those of the empirical-orthogonal-function analysis (EOFA). We suggest the extension of some properties of such method to EOFA to obtain a useful tool in detecting bifurcations for time series. Some peculiar limits are also illustrated by analytical results and simple applications.
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Brini, F. Linear embedding of attractors by bi-orthogonal decomposition and empirical orthogonal functions. Nuov Cim B 110, 955–966 (1995). https://doi.org/10.1007/BF02722863
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DOI: https://doi.org/10.1007/BF02722863