Skip to main content
Log in

Modeling Chaotic Series by Simple Eco-Grammar Systems with Reproduction, Death and Maturation of Agents

  • Published:
Grammars

Abstract

Grammar systems are abstract models of computation, in the field of Formal Language Theory, created to study the agent systems proposed by Artificial Intelligence. Eco-Grammar or EG systems are grammatical models of ecosystems. Simple Eco-Grammar Systems or SEG systems are a sub-class of EG. In this work we propose a model of SEG systems whose agents have capabilities ofReproduction, Death and Maturation, called SEG[RDM]. They are able to represent the dynamics of the Logistic equation developed by May in 1973, which is one of the main references in the study of chaos in the dynamics of populations in ecosystems. This work is going on the direction of approaching Artificial Intelligence, Theoretical Computer Sciences and Complex Systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Alfonseca, M., A. Ortega and A. Suárez. Cellular Automata and Probabilistic L Systems, In Grammars and Automata for String Processing: From Mathematics and Computer Science to Biology, and Back. Taylor and Francis, London, 2003.

    Google Scholar 

  • Anchorena S. and B. Cases. Eco-Grammars to Model Biological Systems: Adding Probabilities to Agents. Proceedings of the European Conference on Artificial Life. ECAL 2001: Springer, Berlin, pp. 66'75, 2001.

    Google Scholar 

  • Cases, B. and M. Alfonseca. Eco-Grammar Systems applied to the analysis of the dynamics of populations in artificial worlds, In Proceedings of the International Workship on Grammar Systems 2000. Silesian University, Opava, pp. 265'281, 2000.

    Google Scholar 

  • Csuhaj-VarjÚ, E., J. Dassow, J. Kelemen and G. Paaun. Grammar Systems. A Grammatical Approach to Distribution and Cooperation, Gordon and Breach, London, 1994.

    Google Scholar 

  • Csuhaj-VarjÚ, J. Kelemen, A. Kelemenová and G. Paaun. Eco-Grammar Systems: A Grammatical Framework for Life-Like Interactions, Artificial Life, 3(1): 1'28, 1997.

    Google Scholar 

  • Dassow, J., G. Paaun and G. Rozenberg, Grammar Systems, In Handbook of Formal Languages. G. Rozenberg and A. Salomaa (eds.), vol. 2, pp. 155'210, Springer, Berlin, 1997.

    Google Scholar 

  • Freund, R. and A. Kelemenová eds., Proceedings of the International Workshop on Grammar Systems 2000, Silesian University, Opava, 2000.

    Google Scholar 

  • Martín-Vide, C. and V. Mitrana. Grammars and Automata for String Processing: From Mathematics and Computer Science to Biology, and Back. Taylor and Francis, London, 2003.

    Google Scholar 

  • Minsky, M. La Sociedad de la Mente. La Inteligencia Humana a la Luz de la Inteligencia Artificial; Galápago, Argentina, 1986.

    Google Scholar 

  • Montero, M. and F. Morán. Biofísica: Procesos de Auto-organización en Biología. Eudema Universidad, Madrid, 1992.

    Google Scholar 

  • Paaun, G. ed., Artificial Life: Grammatical Models, Black Sea University Press, Bucharest, 1995.

    Google Scholar 

  • Pollack, J.B. Connectionism: past, present, and future, Artificial Intelligence Review, 3, 1989.

  • Rozenberg, G. and A. Salomaa. eds., Handbook of Formal Languages, 3 vols. Springer, Berlin, 1997.

    Google Scholar 

  • Salomaa, A. Developmental Models for Artificial Life: Basics of L Systems. In Artificial Life: Grammatical Models, G. Paaun, ed., Black Sea University, pp. 22'31, Bucharest, 1995.

  • Solé, R. and S. Manrubia. Orden y Caos en Sistemas Complejos, Edicions UPC, Barcelona, 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anchorena, S., Cases, B. Modeling Chaotic Series by Simple Eco-Grammar Systems with Reproduction, Death and Maturation of Agents. Grammars 6, 155–168 (2003). https://doi.org/10.1023/B:GRAM.0000016620.93796.11

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:GRAM.0000016620.93796.11

Navigation