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Vulnerability and Protector Control: Cellular Automata Approach

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Cellular Automata (ACRI 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8751))

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Abstract

In this work we consider the protector control problem using cellular automata approach. We give some definitions and characterizations of vulnerable zones and protector control for a cellular automaton model. We illustrate this notion through a fire forest example using a developed application with JAVA environment.

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References

  1. Bernoussi, A.: Spreadability and vulnerability of distributed parameter systems. International Journal of Systems Science 38(4), 305–317 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  2. Bernoussi, A.: Spreadability, vulnerability and protector control. Mathematical Modelling of Natural Phenomena 5(7), 145–150 (2010)

    Article  MathSciNet  Google Scholar 

  3. Chopard, B., Droz, M.: Cellular automata Modelling of Physical Systems. Cambridge University Press, Cambridge (1998)

    Book  Google Scholar 

  4. Deutsch, A., Dormann, S.: Cellular automaton modeling of biological pattern formation (2005)

    Google Scholar 

  5. El Yacoubi, S., El Jai, A.: Cellular automata and spreadability. International Journal of Mathematical and Computer Modelling 36, 1059–1074 (2002)

    Article  MATH  Google Scholar 

  6. El Yacoubi, S.: A Mathematical method for control problems on Cellular Automata models. International Journal of Systems Sciences 39(5), 529–538 (2008)

    Article  MATH  Google Scholar 

  7. Greenberg, M.J., Hastings, S.P.: Spatial patterns for discrete models of diffusion in excitable media. SIAM Journal on Applied Mathematics 34(3), 515–523 (1978)

    Article  MATH  MathSciNet  Google Scholar 

  8. Karafyllidis, I., Thanailakis, A.: A model for predicting forest fire spreading using cellular automata. Ecological Modelling 99, 87–97 (1997)

    Article  Google Scholar 

  9. Progias, P., Sirakoulis, G.C.: An FPGA Processor for Modelling Wildfire Spread. Mathematical and Computer Modeling 57(5-6), 1436–1452 (2013)

    Article  MathSciNet  Google Scholar 

  10. Qaraai, Y., Bernoussi, A.: Protector control: Extension to a class of nonlinear distributed systems. International Journal of Applied Mathematics and Computer Science 20(3), 427–443 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  11. Slimi, R., El Yacoubi, S.: Spreadable Cellular Automata: Modelling and Simulation. International Journal of Systems Sciences 40(5), 507–520 (2009)

    Article  MATH  Google Scholar 

  12. Toffoli, T.: Cellular automata as an alternative to (rather than an approximation of) differential equations in modeling physics. Physica D: Nonlinear Phenomena 10(1), 117–127 (1984)

    Article  MathSciNet  Google Scholar 

  13. Trunfio, G.A.: Predicting Wildfire Spreading Through a Hexagonal Cellular Automata Model. In: Sloot, P.M.A., Chopard, B., Hoekstra, A.G. (eds.) ACRI 2004. LNCS, vol. 3305, pp. 385–394. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  14. Trunfio, G.A., D’Ambrosio, D., Rongo, R., Spataro, W., Di Gregorio, S.: A New Algorithm for Simulating Wildfire Spread Through Cellular Automata. ACM Transactions on Modeling and Computer Simulation 22, 6:1–6:26 (2011) ISSN: 1049-3301

    Google Scholar 

  15. Vichniac, G.Y.: Simulating physics with cellular automata. Physica D: Nonlinear Phenomena 10(1), 96–116 (1984)

    Article  MathSciNet  Google Scholar 

  16. Wolfram, S.: Cellular automata and complexity: collected papers, vol. 1. Addison-Wesley, Reading (1994)

    MATH  Google Scholar 

  17. Zapp, M.L., Green, M.R.: Sequence-specific RNA binding by the HIV-1 Rev protein. Nature 342(6250), 714–716 (1989)

    Article  Google Scholar 

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Jellouli, O., Bernoussi, A., Amharref, M., El Yacoubi, S. (2014). Vulnerability and Protector Control: Cellular Automata Approach. In: WÄ…s, J., Sirakoulis, G.C., Bandini, S. (eds) Cellular Automata. ACRI 2014. Lecture Notes in Computer Science, vol 8751. Springer, Cham. https://doi.org/10.1007/978-3-319-11520-7_23

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  • DOI: https://doi.org/10.1007/978-3-319-11520-7_23

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11519-1

  • Online ISBN: 978-3-319-11520-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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