IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v30y2006i4p875-885.html
   My bibliography  Save this article

Complex emergent dynamics of anisotropic swarms: Convergence vs oscillation

Author

Listed:
  • Chu, Tianguang
  • Wang, Long
  • Chen, Tongwen
  • Mu, Shumei

Abstract

This paper considers an anisotropic swarm model with a simple attraction and repulsion function. It is shown that the members of a reciprocal swarm will aggregate and eventually form a cohesive cluster of finite size around the swarm center. Moreover, the swarm system is also completely stable, i.e., every solution converges to the set of equilibrium points of the system. These results are also valid for a class of non-reciprocal swarms under the detailed balance condition on coupling weights. For general non-reciprocal swarms, numerical simulations are worked out to demonstrate more complex oscillatory motions in the systems. The study provides further insight into the effect of the interaction pattern on the collective behavior of a swarm system.

Suggested Citation

  • Chu, Tianguang & Wang, Long & Chen, Tongwen & Mu, Shumei, 2006. "Complex emergent dynamics of anisotropic swarms: Convergence vs oscillation," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 875-885.
  • Handle: RePEc:eee:chsofr:v:30:y:2006:i:4:p:875-885
    DOI: 10.1016/j.chaos.2005.08.133
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905007770
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2005.08.133?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mu, Shumei & Chu, Tianguang & Wang, Long, 2005. "Coordinated collective motion in a motile particle group with a leader," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 211-226.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wu, Jianxin & Chen, Qingfei & Hong, Yiguang, 2009. "Striped attractor generation and synchronization analysis for coupled Rössler systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 322-331.
    2. Zhifu Chen & Tianguang Chu, 2013. "Multi-agent system model with mixed coupling topologies for pattern formation and formation splitting," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 19(4), pages 388-400.
    3. Liu, Bo & Chu, Tianguang & Wang, Long & Wang, Zhanfeng, 2008. "Collective motion of a class of social foraging swarms," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 277-292.
    4. Hongwei Jia & Jun Zhao, 2016. "Output regulation of switched linear multi-agent systems: an agent-dependent average dwell time method," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2510-2520, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shao, Zhi-Gang & Yang, Yan-Yan, 2015. "Effective strategies of collective evacuation from an enclosed space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 34-39.
    2. Liu, Bo & Chu, Tianguang & Wang, Long & Wang, Zhanfeng, 2008. "Collective motion of a class of social foraging swarms," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 277-292.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:30:y:2006:i:4:p:875-885. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.