Analysis of the dynamic characteristics of firefly algorithm

Firefly algorithm is one of meta-heuristic algorithms. The fundamental principle of the firefly algorithm is based on the mimic of the characteristic of the blinking of natural fireflies. In this paper, we analyze the dynamics of the firefly algorithm. In order to analyze the dynamics rigorously, we apply a deterministic system that is removed the stochastic factors from the state update equation. The behavior of the individual deterministic firefly exhibits a chaotic behavior depending on the parameters. Therefore, we investigate relationship between the behavior of the firefly and the parameters. Also, we investigate the effect that the chaotic behavior influences the searching ability.