Entropy principle of extremality as a driving force in the discrete dynamics of complex and living systems

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    Abstract

    An approach to the modeling of the dynamics of complex and living systems is presented, which puts forward the necessity for the introduction of new principles and mathematical models. Systems of nonlinear difference equations constructed from the mechanism of chemical transformations should be considered as a new calculus specially directed for the description of the dynamics of living systems. The approach is free of contradictions between differential equations and computer and mathematical modeling of chaotic regimes and living systems. A formalism is proposed which clarifies the concept of evolutionary dynamic behavior in complex and living systems. The model can be used to describe the dynamics of various complex systems.

    Original languageEnglish
    Pages (from-to)231-236
    Number of pages6
    JournalChaos, Solitons and Fractals
    Volume11
    Issue number1
    DOIs
    StatePublished - 1 Jan 2000
    EventProceedings of the 1997 Brussels Meeting II: Integrability and Chaos in Discrete Systems - Brussels, Belgium
    Duration: 2 Jul 19976 Jul 1997

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