Recombining angles in Differential Evolution

In this paper we wish to investigate how optimization problems involving angles can best be handled when using Differential Evolution (DE) as the optimization technique. Specifically we state the hypothesis that angles should not be recombined naively. To investigate this hypothesis we define two simple optimization problems involving angles and investigate our hypothesis on these by creating two angle recombination strategies for the DE algorithm. Our hope is that real world problems containing angles can benefit from this study, and we therefore test our hypothesis on a problem from the field of computational chemistry.