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Emergence of Macro Spatial Structures in Dissipative Cellular Automata

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Cellular Automata (ACRI 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2493))

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Abstract

This paper describes the peculiar behavior observed in a class of cellular automata that we have defined as dissipative, i.e., cellular automata that are open and makes it possible for the environment to influence their evolution. Peculiar in the dynamic evolution of this class of cellular automata is that stable macro-level spatial structures emerge from local interactions among cells, a behavior that does not emerge when the cellular automaton is closed, i.e., when the state of a cell is not influenced by the external world. Moreover, we observed that Dissipative Cellular Automata (DCA) exhibit a behavior very similar to that of dissipative structures, as macro-level spatial structures emerge as soon as the external perturbation exceeds a threshold value and it stays below the “turbulence” limit. Finally, we discuss possible relations of the performed experiments with the area of open distributed computing, and in particular of agent-based distributed computing.

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References

  1. Y. Bar-Yam. Dynamics of Complex systems. Addison Wesley, 1997.

    Google Scholar 

  2. T.D. Barfoot and G.M.T. D’Eleuterio. Multiagent Coordination by Stochastic Cellular Automata. Proceeding of IJCAI 2001, Seattle, 2001.

    Google Scholar 

  3. J.P. Crutchfield. Discovering Coherent Structures in Nonlinear Spatial Systems. In Nonlinear Dynamics of Ocean Waves, 1992.

    Google Scholar 

  4. J.P. Crutchfield and J.E. Hanson. Turbulent Pattern Bases for Cellular Automata. Physica D 69:279–301, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  5. J.E. Hanson and J.P. Crutchfield. The Attractor-Basin Portrait of a Cellular Automaton. J. Statistical Physics 66:1415–1462, 1992.

    Article  MATH  MathSciNet  Google Scholar 

  6. T.E. Ingerson and R.L. Buvel. Structure in asynchronous cellular automata. Physica D, 10:59–68, 1984.

    Article  MathSciNet  Google Scholar 

  7. N.R. Jennings. On Agent-Based Software Engineering. Artificial Intelligence, 117(2), 2000.

    Google Scholar 

  8. T. Kuhn. The Structure of Scientific Revolutions. University of Chicago Press, 3rd Edition, Nov. 1996.

    Google Scholar 

  9. S.A. Kauffman. The origins of order. Oxford University Press, New York, 1993.

    Google Scholar 

  10. E.D. Lumer and G. Nicolis. Synchronous versus asynchronous dynamics in spatially distributed systems. Physica D, 71:440–452, 1994.

    Article  MATH  Google Scholar 

  11. G. Nicolis and I. Prigogine. Exploring Complexity: an Introduction W H. Freeman (NY), 1989.

    Google Scholar 

  12. V. Parunak and S. Bruekner. Entropy and Self-Organization in Agent Systems. 5th International Conference on Autonomous Agents, ACM Press, May 2001.

    Google Scholar 

  13. B. Schönfisch and A. de Roos. Synchronous and asynchronous updating in cellular automata. BioSystems, 51(3):123–143, 1999.

    Article  Google Scholar 

  14. B. Schönfisch and M.O. Vlad. Physical approach to the ergodic behavior of stochastic cellular automata with generalization to random processes with infinite memory. Physica A 229:273–294, 1996.

    Article  Google Scholar 

  15. D. Tennenhouse. Proactive Computing. Communications of the ACM, May 2000.

    Google Scholar 

  16. M. Sipper. The Emergence of Cellular Computing. IEEE Computer, 37(7):18–26, July 1999.

    Google Scholar 

  17. M. Sipper and M. Tomassini. Computation in artificially evolved, non-uniform cellular automata. Theoretical Computer Science, 217(1):81–98, March 1999.

    Google Scholar 

  18. D. Watts. Small-Worlds. Princeton University Press, 1999.

    Google Scholar 

  19. S. Wolfram. Cellular Automata and Complexity. Addison-Wesley, 1994.

    Google Scholar 

  20. S. Wolfram. A New Kind of Science. Wolfram Media Inc., 2002.

    Google Scholar 

  21. F. Zambonelli and H.V. Parunak. From Design to Intention: Signs of a Revolution. Proceedings of the 1st ACM Joint Conference on Autonomous Agents and Multi-Agent Systems, 2002.

    Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Roli, A., Zambonelli, F. (2002). Emergence of Macro Spatial Structures in Dissipative Cellular Automata. In: Bandini, S., Chopard, B., Tomassini, M. (eds) Cellular Automata. ACRI 2002. Lecture Notes in Computer Science, vol 2493. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45830-1_14

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  • DOI: https://doi.org/10.1007/3-540-45830-1_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44304-9

  • Online ISBN: 978-3-540-45830-2

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