Skip to main content

Evolutionary Graph Models with Dynamic Topologies on the Ubichip

  • Conference paper
Book cover Evolvable Systems: From Biology to Hardware (ICES 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5216))

Included in the following conference series:

Abstract

The ubichip is a reconfigurable digital circuit with special reconfiguration mechanisms, such as dynamic routing and self-replication, for supporting the implementation of bio-inspired hardware systems. The dynamic routing mechanism allows to create and destroy interconnections between remote units in a distributed fashion, thus proving useful for implementing cellular systems featuring dynamic topologies. Evolutionary graph theory investigates genetic and cultural evolution processes using the mathematical formalism of both evolutionary game and graph theory. Populations are embedded in graphs representing interaction and imitation links. Payoffs are assigned and successful individuals are imitated with high probability. This paper describes the hardware implementation of a general evolutionary graph model in which the imitation network changes over time by exploiting the dynamic routing capabilities of the ubichip. As a particular example, we analyze the case of a coordination game played by agents arranged in a cycle in which imitation links are randomly created so as to simulate dynamic small-world networks.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Sanchez, E., Perez-Uribe, A., Upegui, A., Thoma, Y., Moreno, J., Villa, A., Volken, H., Napieralski, A., Sassatelli, G., Lavarec, E.: PERPLEXUS: Pervasive computing framework for modeling complex virtually-unbounded systems. In: Arslan, T., et al. (eds.) AHS 2007 - Proceedings of the 2nd NASA/ESA Conference on Adaptive Hardware and Systems, pp. 587–591. IEEE Computer Society Press, Los Alamitos (2007)

    Chapter  Google Scholar 

  2. Upegui, A., Thoma, Y., Sanchez, E., Perez-Uribe, A., Moreno, J.M., Madrenas, J.: The Perplexus bio-inspired reconfigurable circuit. In: Arslan, T., et al. (eds.) Proceedings of the 2nd NASA/ESA Conference on Adaptive Hardware and Systems, pp. 600–605. IEEE Computer Society Press, Los Alamitos (2007)

    Chapter  Google Scholar 

  3. Upegui, A., Thoma, Y., Perez-Uribe, A., Sanchez, E.: Dynamic routing on the ubichip: Toward synaptogenetic neural networks. In: AHS 2008 - Proceedings of the 3rd NASA/ESA Conference on Adaptive Hardware and Systems, pp. 228–235. IEEE Computer Society Press, Los Alamitos (2008)

    Chapter  Google Scholar 

  4. Gintis, H.: Game theory evolving. Princeton University Press, Princeton (2000)

    Google Scholar 

  5. Maynard Smith, J.: Evolution and the Theory of Games. Cambridge Univ. Press, Cambridge (1982)

    MATH  Google Scholar 

  6. Boyd, R., Richerson, P.J.: Culture and the evolutionary process. University of Chicago Press, Chicago (1985)

    Google Scholar 

  7. Szabo, G., Fath, G.: Evolutionary games on graphs. Physics Reports 446(4-6), 97–216 (2007)

    Article  MathSciNet  Google Scholar 

  8. Nowak, M.A., May, R.M.: Evolutionary games and spatial chaos. Nature 359(6398), 826–829 (1992)

    Article  Google Scholar 

  9. Thoma, Y., Upegui, A., Perez-Uribe, A., Sanchez, E.: Self-replication mechanism by means of self-reconfiguration. In: Platzner, M., Grosspietsch, K.E., Hochberger, C., Koch, A. (eds.) ARCS 2007. LNCS, vol. 4415, pp. 105–112. Springer, Heidelberg (2007)

    Google Scholar 

  10. Thoma, Y., Sanchez, E.: An adaptive FPGA and its distributed routing. In: Proc. ReCoSoc 2005 Reconfigurable Communication-centric SoC, Montpellier - France, June 2005, pp. 43–51 (2005)

    Google Scholar 

  11. Ohtsuki, H., Pacheco, J.M., Nowak, M.A.: Evolutionary graph theory: Breaking the symmetry between interaction and replacement. Journal of Theoretical Biology 246(4), 681–694 (2007)

    Article  MathSciNet  Google Scholar 

  12. Thoma, Y., Upegui, A.: Ubimanager: a software tool for managing ubichips. In: AHS 2008 - Proceedings of the 3rd NASA/ESA Conference on Adaptive Hardware and Systems, pp. 213–219. IEEE Computer Society Press, Los Alamitos (2008)

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Peña, J.C., Peña, J., Upegui, A. (2008). Evolutionary Graph Models with Dynamic Topologies on the Ubichip. In: Hornby, G.S., Sekanina, L., Haddow, P.C. (eds) Evolvable Systems: From Biology to Hardware. ICES 2008. Lecture Notes in Computer Science, vol 5216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85857-7_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-85857-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85856-0

  • Online ISBN: 978-3-540-85857-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics