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Variation Principle in Informational Macrodynamics

  • Book
  • © 2003

Overview

Authors:
  1. Vladimir S. Lerner

    1. California University at Los Angeles, USA
      West Coast University, USA
      National University, USA

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Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 736)

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Table of contents (3 chapters)

  1. Front Matter

    Pages I-XIII
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  2. The IMD Essence and Concepts

    • Vladimir S. Lerner
    Pages 1-98

  3. Mathematical Foundations of Informational Macrodynamics

    • Vladimir S. Lerner
    Pages 99-200

  4. Applications

    • Vladimir S. Lerner
    Pages 201-255

  5. Back Matter

    Pages 257-266
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Keywords

About this book

Information Macrodynamics (IMD) belong to an interdisciplinary science that represents a new theoretical and computer-based methodology for a system informational descriptionand improvement,including various activities in such areas as thinking, intelligent processes, communications, management, and other nonphysical subjects with their mutual interactions, informational superimposition, and theinformation transferredbetweeninteractions. The IMD is based on the implementation of a single concept by a unique mathematical principle and formalism, rather than on an artificial combination of many arbitrary, auxiliary concepts and/or postulates and different mathematical subjects, such as the game, automata, catastrophe, logical operations theories, etc. This concept is explored mathematically using classical mathematics as calculus of variation and the probability theory, which are potent enough, without needing to developnew,specifiedmathematical systemicmethods. The formal IMD model automatically includes the related results from other fields, such as linear, nonlinear, collective and chaotic dynamics, stability theory, theory of information, physical analogies of classical and quantum mechanics, irreversible thermodynamics, andkinetics. The main IMD goal is to reveal the information regularities, mathematically expressed by the considered variation principle (VP), as a mathematical tool to extractthe regularities and define the model, whichdescribes theregularities. The IMD regularities and mechanisms are the results of the analytical solutions and are not retained by logical argumentation, rational introduction, and a reasonable discussion. The IMD's information computer modeling formalism includes a human being (as an observer, carrier and producer ofinformation), witha restoration of the model during the objectobservations.

Authors and Affiliations

  • California University at Los Angeles, USA

    Vladimir S. Lerner

  • West Coast University, USA

    Vladimir S. Lerner

  • National University, USA

    Vladimir S. Lerner

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