• DocumentCode
    1465829
  • Title

    Chaotic Dynamics in Social Foraging Swarms—An Analysis

  • Author

    Das, Swagatam ; Halder, Udit ; Maity, Dipankar

  • Author_Institution
    Indian Stat. Inst., Kolkata, India
  • Volume
    42
  • Issue
    4
  • fYear
    2012
  • Firstpage
    1288
  • Lastpage
    1293
  • Abstract
    This paper investigates the chaotic characteristics in the dynamics of an aggregating swarm model. The range of the parameters of the swarm model is determined for which chaos exists in the dynamics. The trajectories of the individuals are simulated, and the stable, limit cyclic, and chaotic behaviors are demonstrated. The existence of chaos in the swarm is determined by the maximum Lyapunov exponent. The computer simulation supports the results obtained by theoretical analysis.
  • Keywords
    Lyapunov methods; chaos; limit cycles; social sciences; chaos; chaotic behaviors; chaotic dynamics; limit cycle; maximum Lyapunov exponent; social foraging swarms; swarm model; Biological system modeling; Chaotic communication; Cybernetics; Mathematical model; Stability analysis; Vehicle dynamics; Aggregation; Lyapunov exponent; attraction; chaos; continuous time swarm; repulsion;
  • fLanguage
    English
  • Journal_Title
    Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1083-4419
  • Type

    jour

  • DOI
    10.1109/TSMCB.2012.2186799
  • Filename
    6166349