Information and Complexity Measures in Dynamical Systems View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1991

AUTHORS

Peter Grassberger

ABSTRACT

These lectures deal with a number of information related concepts in dynamical systems. After a short general overview, emphasis is put on practical problems in numerical estimates of dynamical entropies and of attractor dimensions, and on the information dynamics of spatially extended systems. Regarding the latter, the possibility of measuring dimension densities and spatial information flow is discussed. In the last part, we investigate the relationship between chaos and (structured) complexity in chaotic dynamical systems, and in particular in systems showing emergent complexity. More... »

PAGES

15-33

References to SciGraph publications

  • 1986-10. Long-range effects in an elementary cellular automaton in JOURNAL OF STATISTICAL PHYSICS
  • 1986-09. Toward a quantitative theory of self-generated complexity in INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • 1985. Liapounov exponents for the Kuramoto-Sivashinsky model in MACROSCOPIC MODELLING OF TURBULENT FLOWS
  • 1984-03. Computation theory of cellular automata in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1984-10. Intrinsic stochasticity with many degrees of freedom in JOURNAL OF STATISTICAL PHYSICS
  • 1985-09. Statistical description of chaotic attractors: The dimension function in JOURNAL OF STATISTICAL PHYSICS
  • 1982-06. Large volume limit of the distribution of characteristic exponents in turbulence in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Book

    TITLE

    Information Dynamics

    ISBN

    978-1-4899-2307-3
    978-1-4899-2305-9

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-1-4899-2305-9_2

    DOI

    http://dx.doi.org/10.1007/978-1-4899-2305-9_2

    DIMENSIONS

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