Title :
Chaotic Dynamics in Social Foraging Swarms—An Analysis
Author :
Das, Swagatam ; Halder, Udit ; Maity, Dipankar
Author_Institution :
Indian Stat. Inst., Kolkata, India
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;
Journal_Title :
Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMCB.2012.2186799
