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Testing for nonlinearity in time series: the method of surrogate data
TLDR
We describe a statistical approach for identifying nonlinearity in time series and illustrate aspects of the data which this approach identifies. Expand
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Geometry from a Time Series
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The immune system, adaptation, and machine learning
TLDR
We describe a dynamical model for the immune system that is based on the network hypothesis of Jerne, and is simple enough to simulate on a computer, and explore the analogy between the immune and classifier systems in detail. Expand
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Dimension of chaotic attractors
Dimension is perhaps the most basic property of an attractor. In this paper we discuss a variety of different definitions of dimension, compute their values for a typical example, and review previousExpand
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Spontaneous emergence of a metabolism
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The economy needs agent-based modelling
The leaders of the world are flying the economy by the seat of their pants, say J. Doyne Farmer and Duncan Foley. There is, however, a better way to help guide financial policies.
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Autocatalytic sets of proteins
  • S. Kauffman, J. Farmer
  • Computer Science, Medicine
  • Origins of life and evolution of the biosphere
  • 1 September 1986
TLDR
This article investigates the possibility that the emergence of reflexively autocatalytic sets of peptides and polypeptides may be an essentially inevitable collective property of critically complex protein systems in prebiotic evolution. Expand
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Chaotic attractors of an infinite-dimensional dynamical system
Abstract We study the chaotic attractors of a delay differential equation. The dimension of several attractors computed directly from the definition agrees to experimental resolution with theExpand
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An analytic approach to practical state space reconstruction
We study the three standard methods for reconstructing a state space from a time series: delays, derivatives, and principal components. We derive a closed-form solution to principal componentExpand
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