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Abstract

A time series may be regarded as a structure (manifold) in a multi-dimensional space if delay co- ordinates are used. To such manifolds may be assigned a dimension (not necessarily an integer), a measure of the complexity of the signal, and Lyapunov exponents, which measure the rate at which successive oscillations become decorrelated. In addition a special co-ordinate system, which can help further unravel the complexity of the time series, may be constructed. Successful applications of the first two measures to data from the DITE Tokamak are described with an emphasis on issues such as signal-to- noise ratio and minimum sample size. The third technique when applied to DITE data, appears to be useful only as a method for quantifying and removing noise

Additional information

Authors: ARTER W, CULHAM LABORATORY, ABINGDON (UK);EDWARDS D N CULHAM LABORATORY, ABINGDON (UK), CULHAM LABORATORY, ABINGDON (UK)
Bibliographic Reference: WRITE TO THE LIBRARIAN, UKAEA, CULHAM LABORATORY, ABINGDON, OXON OX14 3DB (UK), MENTIONING REPORT CLM-R269, 1986
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