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A Propositional Lattice for the Logic of Temporal Predictions

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Solitons and Chaos

Part of the book series: Research Reports in Physics ((RESREPORTS))

Abstract

The concept of chaos, apart from its significance with respect to the modelling of specific complex systems and the prediction of their behavior, bears important implications for our general understanding of nature and the natural sciences. One of the central quantities characterizing chaotic systems is the dynamical entropy K. It can be interpreted as a temporal rate of internal information production of a system due to the specific dynamical laws governing its evolution. These laws can be formalized in different ways, using different types of operators acting on a phase space distribution function. Two respective operator formalisms refer to the Liouville operator L and to an information (or entropy) operator M. Both are incommensurable in the sense of a non-vanishing commutator given by K (Sec.2).

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Author information

Authors and Affiliations

  1. Max Planck Institut für Extraterrestrische Physik, D-8046, Garching, Germany

    H. Atmanspacher

Authors
  1. H. Atmanspacher
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Editor information

Editors and Affiliations

  1. Dienst Theoretische Natuurkunde (TENA), Vrije Universiteit Brussel, 2, Pleinlaan, B-1050, Brussels, Belgium

    Ioannis Antoniou  & Franklin J. Lambert  & 

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© 1991 Springer-Verlag Berlin Heidelberg

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Atmanspacher, H. (1991). A Propositional Lattice for the Logic of Temporal Predictions. In: Antoniou, I., Lambert, F.J. (eds) Solitons and Chaos. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84570-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-84570-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54389-3

  • Online ISBN: 978-3-642-84570-3

  • eBook Packages: Springer Book Archive

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