Variation Principle in Informational Macrodynamics

  • Vladimir S. Lerner

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

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Vladimir S. Lerner
    Pages 1-98
  3. Vladimir S. Lerner
    Pages 201-255
  4. Back Matter
    Pages 257-266

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), with a restoration of the model during the objectobservations.


Information Technology (IT) Mathematica algorithms communication complexity computer computer science entropy evolution information information system intelligent systems mathematics modeling optimal code

Authors and affiliations

  • Vladimir S. Lerner
    • 1
    • 2
    • 3
  1. 1.California University at Los AngelesUSA
  2. 2.West Coast UniversityUSA
  3. 3.National UniversityUSA

Bibliographic information

  • DOI
  • Copyright Information Kluwer Academic Publishers 2003
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-5058-3
  • Online ISBN 978-1-4615-0401-6
  • Series Print ISSN 0893-3405
  • Buy this book on publisher's site