Applications of Nearest Neighbours Statistics

نویسندگان

  • D. Wichard
  • Ulrich Parlitz
چکیده

Jorg D. Wichard, Ulrich Parlitz and Werner Lauterborn Drittes Physikalisches Institut, Georg-August-Universitat Gottingen, D-37073 Gottingen, Germany [email protected] Abstract| Based on an e cient method for nding nearest neighbours in the phase space of a dynamical system, several applications of nearest neighbour statistics are presented, including methods to detect nonstationarity in time series, to nd optimal reconstruction parameters for delay-embeddings and to estimate the largest Lyapunov exponent of chaotic systems.

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تاریخ انتشار 2008