How Can We Observe and Describe Chaos? View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2003-09

AUTHORS

Andrzej Kossakowski, Masanori Ohya, Yoshio Togawa

ABSTRACT

We propose a new approach to define chaos in dynamical systems from the point of view of Information Dynamics. Observation of chaos in reality depends upon how to observe it, for instance, how to take the scale in space and time. Therefore it is natural to abandon taking several mathematical limiting procedures. We take account of them, and chaos degree previously introduced is redefined in this paper. More... »

PAGES

221-233

References to SciGraph publications

  • 1996-03. Entropy functionals of Kolmogorov-Sinai type and their limit theorems in LETTERS IN MATHEMATICAL PHYSICS
  • 1997. Information Dynamics and Open Systems, Classical and Quantum Approach in NONE
  • 1997-02. Dynamical Entropy Through Quantum Markov Chains in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 1998-01. Complexities and Their Applications to Characterization of Chaos in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 1991. Information dynamics and its applications to optical communication processes in QUANTUM ASPECTS OF OPTICAL COMMUNICATIONS
  • 1993. Deterministic Chaos in Infinite Quantum Systems in NONE
  • 1995. State Change, Complexity and Fractal in Quantum Systems in QUANTUM COMMUNICATIONS AND MEASUREMENT
  • 1997-04. Complexity, Fractal Dimension for Quantum States in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • 1994-09. Defining quantum dynamical entropy in LETTERS IN MATHEMATICAL PHYSICS
  • 1993. Quantum Entropy and Its Use in NONE
  • 1997-11. Dynamical Formulation of Quantum Level Statistics in OPEN SYSTEMS AND INFORMATION DYNAMICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1023/a:1025123923519

    DOI

    http://dx.doi.org/10.1023/a:1025123923519

    DIMENSIONS

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