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Topological analysis and synthesis of chaotic time series
Journal article   Peer reviewed

Topological analysis and synthesis of chaotic time series

Gabriel M. Mindlin and R. Gilmore
Physica. D, v 58(1), pp 229-242
1992

Abstract

We have developed a topological procedure for analyzing chaotic time series which identifies the stretching and squeezing mechanisms responsible for chaotic behavior in low-dimensional dynamical systems. These mechanisms, quantitatively described by a “template” or “knot-holder”, can then be used to model the processes which generate the original chaotic data set.

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Web of Science research areas
Mathematics, Applied
Physics, Fluids & Plasmas
Physics, Mathematical
Physics, Multidisciplinary
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