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Modeling Linear Dynamical Systems By Continuous-Valued Cellular Automata

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Listed:
  • JUAN CARLOS SECK TUOH MORA

    (Centro de Investigación Avanzada en Ingeniería Industrial, Universidad Autónoma del Estado de Hidalgo, Carr. Pachuca-Tulancingo Km 4.5, Pachuca Hidalgo 42080, México)

  • MANUEL GONZALEZ HERNANDEZ

    (Centro de Investigación Avanzada en Ingeniería Industrial, Universidad Autónoma del Estado de Hidalgo, Carr. Pachuca-Tulancingo Km 4.5, Pachuca Hidalgo 42080, México)

  • NORBERTO HERNANDEZ ROMERO

    (Centro de Investigación Avanzada en Ingeniería Industrial, Universidad Autónoma del Estado de Hidalgo, Carr. Pachuca-Tulancingo Km 4.5, Pachuca Hidalgo 42080, México)

  • AARON RODRIGUEZ TREJO

    (Centro de Investigación Avanzada en Ingeniería Industrial, Universidad Autónoma del Estado de Hidalgo, Carr. Pachuca-Tulancingo Km 4.5, Pachuca Hidalgo 42080, México)

  • SERGIO V. CHAPA VERGARA

    (Departamento de Ingeniería Eléctrica, Sección Computación, Centro de Investigación y de Estudios Avanzados, Instituto Politécnico Nacional, Av. IPN 2508, Col. San Pedro Ticomán, México D.F. 05760, México)

Abstract

This paper exposes a procedure for modeling and solving linear systems using continuous-valued cellular automata. The original part of this work consists on showing how the cells in the automaton may contain both real values and operators for carrying out numerical calculations and solve a desired problem. In this sense the automaton acts as a program, where data and operators are mixed in the evolution space for obtaining the correct calculations. As an example, Euler's integration method is implemented in the configuration space in order to achieve an approximated solution for a dynamical system. Three examples showing linear behaviors are presented.

Suggested Citation

  • Juan Carlos Seck Tuoh Mora & Manuel Gonzalez Hernandez & Norberto Hernandez Romero & Aaron Rodriguez Trejo & Sergio V. Chapa Vergara, 2007. "Modeling Linear Dynamical Systems By Continuous-Valued Cellular Automata," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 833-848.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:05:n:s0129183107010589
    DOI: 10.1142/S0129183107010589
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    1. Woodman, Harold D., 1986. "Black Masters: A Free Family of Color in the Old South. By Michael P. Johnson and James L. Roark. (New York: W. W. Norton & Company, 1984. xvi + 422 pp. $22.50.)," Business History Review, Cambridge University Press, vol. 60(2), pages 300-301, July.
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