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- W2053173645 abstract "The time delay reconstruction of the state space of a system from observed scalar data requires a time lag and an integer embedding dimension. The minimum necessary global embedding dimension ${mathit{d}}_{mathit{E}}$ may still be larger than the actual dimension of the underlying dynamics ${mathit{d}}_{mathit{L}}$. The embedding theorem only guarantees that the attractor of the system is fully unfolded using ${mathit{d}}_{mathit{E}}$ greater than 2${mathit{d}}_{mathit{A}}$, with ${mathit{d}}_{mathit{A}}$ the fractal attractor dimension. Using the idea of local false nearest neighbors, we discuss methods for determining the integer-valued ${mathit{d}}_{mathit{L}}$." @default.
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- W2053173645 date "1993-05-01" @default.
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- W2053173645 title "Local false nearest neighbors and dynamical dimensions from observed chaotic data" @default.
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- W2053173645 doi "https://doi.org/10.1103/physreve.47.3057" @default.
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