Skip to main content

Collective Behavior of an Anisotropic Swarm Model Based on Unbounded Repulsion in Social Potential Fields

  • Conference paper
Computational Intelligence and Bioinformatics (ICIC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 4115))

Included in the following conference series:

Abstract

Swarm system with flexible structures adapts well to variable environment. In this article, we propose an anisotropic swarm model based on unbounded repulsion and social potential fields. The unbounded repulsion ensures the independence among autonomous agents in social potential fields, which consist of obstacles to avoid and targets to move towards. Simulation results show that the aggregating swarm can construct various formations by changing its anisotropy coefficient, and the collective behavior of mass individuals emerges from combination of the inter-individual interactions and the interaction of the individual with outer circumstances.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Grünbaum, D.: Schooling as A Strategy for Taxis in A Noisy Environment. Evolutionary Ecol. 12, 503–522 (1998)

    Article  Google Scholar 

  2. Giulietti, F., Pollini, L., Innocenti, M.: Autonomous Formation Flight. IEEE Control System Magazine 20, 34–44 (2000)

    Article  Google Scholar 

  3. Balch, T., Arkin, R.C.: Behavior-Based Formation Control for Multirobot Teams. IEEE Trans. Robot Automat. 14, 926–939 (1998)

    Article  Google Scholar 

  4. Desai, J.P., Ostrowski, J., Kumar, V.: Controlling Formations of Multiple Mobile Robots. In: Proc. of IEEE Int. Conf. Robotics Automation, pp. 2864–2869 (1998)

    Google Scholar 

  5. Suzuki, I., Yamashita, M.: Distributed Anonymous Mobile Robots: Formation of Geometric Patterns. SIAM J. Comput. 28(4), 1347–1363 (1998)

    Article  MathSciNet  Google Scholar 

  6. Egerstedt, M., Hu, X.: Formation Constrained Multi-Agent Control. IEEE Trans. Robot. Automat. 17, 947–951 (2001)

    Article  Google Scholar 

  7. Grünbaum, D., Okubo, A.: Modeling Social Animal Aggregations. In: Frontiers in Theoretical Biology, vol. 100, pp. 296–325. Springer, New York (1994)

    Google Scholar 

  8. Reynolds, C.: Flocks, Herds, and Schools: A Distributed Behavioral Model. Computer Graphics 21(4), 25–34 (1987)

    Article  MathSciNet  Google Scholar 

  9. Mogilner, A., Edelstein-Keshet, L.: A Non-Local Model for A Swarm. Journal of Mathematical Biology 38, 534–570 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  10. Czirok, A., Vicsek, T.: Collective Behavior of Interacting Self-Propelled Particles. Physica. A. 281, 17–29 (2000)

    Article  Google Scholar 

  11. Shimoyama, N., Sugawa, K., Mizuguchi, T., Hayakawa, Y., Sano, M.: Collective Motion in A System of Motile Elements. Phys. Rev. Lett. 76(20), 3870–3873 (1996)

    Article  Google Scholar 

  12. Warburton, K., Lazarus, J.: Tendency-Distance Models of Social Cohesion in Animal Groups. Journal of Theoretical Biology 150, 473–488 (1991)

    Article  Google Scholar 

  13. Gazi, V., Passino, K.M.: Stability Analysis of Swarms. IEEE Trans. Automat. Contr. 48, 692–697 (2003)

    Article  MathSciNet  Google Scholar 

  14. Chen, L., Xu, L.: An Aggregating Swarm Model Based on Unbounded Repulsion. Journal of Zhejiang University Engineering Science (accepted to appear, 2006)

    Google Scholar 

  15. Chu, T., Wang, L., Mu, S.: Collective Behavior Analysis of An Anisotropic Swarm Model. In: Proc. of the 16th International Symposium on Mathematical Theory of Networks and Systems (2004)

    Google Scholar 

  16. Reif, J.H., Wang, H.: Social Potential Fields: A Distributed Behavioral Control for Autonomous Robots. Robot. Auton. Syst. 27, 171–194 (1999)

    Article  Google Scholar 

  17. Rimon, E., Koditschek, D.E.: Exact Robot Navigation Using Artificial Potential Functions. IEEE Trans. Robot. Automat. 8, 501–518 (1992)

    Article  Google Scholar 

  18. Gazi, V., Passino, K.M.: Stability Analysis of Social Foraging Swarms. IEEE Trans. Systems, Man, and Cybernetics 34(1), 539–557 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chen, L., Xu, L. (2006). Collective Behavior of an Anisotropic Swarm Model Based on Unbounded Repulsion in Social Potential Fields. In: Huang, DS., Li, K., Irwin, G.W. (eds) Computational Intelligence and Bioinformatics. ICIC 2006. Lecture Notes in Computer Science(), vol 4115. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11816102_18

Download citation

  • DOI: https://doi.org/10.1007/11816102_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37277-6

  • Online ISBN: 978-3-540-37282-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics