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Simulation of spatial-temporal chaos: The simplest mathematical patterns and computer graphics

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Abstract

The article presents three scenarios of the evolution of spatial-temporal chaos and specifies the corresponding types of chaotic solutions to a certain nonlinear boundary-value problem for PDE. Analytic assertions are illustrated by numerical analysis and computer graphics.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    E. Yu. Romanenko & M. B. Vereikina

Authors
  1. E. Yu. Romanenko
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  2. M. B. Vereikina
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Additional information

Published in Ukrainski Matematicheskii Zhurnal, Vol. 45, No. 10, pp. 1398–1410, October, 1993.

This investigation was partially supported by the Ukrainian State Committee for Science and Technology.

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Romanenko, E.Y., Vereikina, M.B. Simulation of spatial-temporal chaos: The simplest mathematical patterns and computer graphics. Ukr Math J 45, 1569–1582 (1993). https://doi.org/10.1007/BF01571091

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  • DOI: https://doi.org/10.1007/BF01571091

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