Synchrony-optimized networks of non-identical Kuramoto oscillators

摘要: In this Letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with heterogeneous distribution native frequencies. The allows us to relate the properties network its synchronizability. These relations were previously only established from linear stability analysis identical oscillator case. We further demonstrate that heterogeneity in population produces optimal as well. Two rules enhancing synchronizability given by suitable placement are given: (i) frequencies adjacent must be anti-correlated and (ii) frequency magnitudes should positively correlate degree node they placed at.