The Spiral Optimization and its stability analysis

This paper first completes Spiral Optimization (SPO), which is a new metaheuristics method proposed by the authors based on analogy of spiral phenomena in nature, by refining our previous studies and adding some new matters. Secondary, we point out that the SPO model has a dynamic equilibrium point and strictly analyze its asymptotic stability and ε-stability. In addition, the stability analysis results are applied to a simple setting method for a parameter of SPO. Finally, we evaluate the effectiveness and peculiarity of SPO through numerical experiments for some benchmark problems and comparing other representative methods PSO and DE.