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Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems

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  • V. Gontar

Abstract

A new theoretical foundation for the discrete dynamics of physicochemical systems is presented. Based on the analogy between the π -theorem of the theory of dimensionality, the second law of thermodynamics and the stoichiometry of complex physicochemical reactions, basic dynamic equations and an extreme principle were formulated. The meaning of discrete time and space in the proposed equations is discussed. Some results of numerical calculations are presented to demonstrate the potential of the proposed approach to the mathematical simulation of spatiotemporal physicochemical reaction dynamics.

Suggested Citation

  • V. Gontar, 1997. "Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 1, pages 1-13, January.
    • Handle: RePEc:hin:jnddns:439674
    DOI: 10.1155/S1026022697000058
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    Cited by:

    1. Kubany, Adam & Mhabary, Ziv & Gontar, Vladimir, 2011. "EEG simulation by 2D interconnected chaotic oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 1-8.

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