Abstract
Different model parameters have different influences on the stability and convergence performance of the pigeon collective behavior. In this paper, the dynamic characteristics of pigeon aggregation and dispersion based on the potential field force under different parameters are considered. The self-organization response characteristics of the pigeon group under different form influences of time delay are also analyzed. Based on the Lyapunov function and the Lagrangian multiplier method, the finite element boundary of the delay parameter of the pigeon group is given. The convergence condition of the pigeon group related to the time delay parameter is also given. In this research, computer simulation is used to study the behavior of pigeon group under different parameters. The influence of topological network and attracting-repulsive function on the aggregation-separation performance of pigeon is also analyzed.
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