Deterministic models are used to explain and predict the dynamics of ecosystems featuring cyclic competition schemes. The models are systems of reaction-diffusion partialdifferential equations that account for species mobility via Fickian diffusion and interspecies interactions according to the competition scheme. Length and temporal scales are
chosen to be appropriate for...
There is a rich history on the study of the interplay between symmetry and synchronization in networks. At the most fundamental level, many synchronization patterns are induced by underlying network symmetries. However, when stability is taken into account, the relation between symmetry and synchronization is far from monotonic. In this...