Speed of complex network synchronization

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times for directed networks with topologies ranging from completely ordered, grid-like, to completely disordered, random, including intermediate, partially disordered topologies. We extend the approach of master stability functions to quantify synchronization times. We find that the synchronization times strongly and systematically depend on the network topology. In particular, at fixed in-degree, stronger topological randomness induces faster synchronization, whereas at fixed path length, synchronization is slowest for intermediate randomness in the small-world regime. Randomly rewiring real-world neural, social and transport networks confirms this picture

Моделирование механических характеристик гранулята, испытуемого в условиях двухосного нагружения

The mechanical characteristics of granular matter tested under biaxial loading are studied by numerical simulation. The stress-strain process, volume strain, coordination number, and shear zone are analyzed. The results indicate that the shear zone develops along with the coordination number and volume strain. With an increase in strain, the shear zone is centralized gradually. Moreover, the force transfer in the granular matter is also discussed.Выполнено численное моделирование механических характеристик гранулята, испытуемого в условиях двухосного нагружения. Анализируются зависимость деформации от напряжения, объемная деформация, координационное число и область пластического сдвига. Результаты показывают, что с ростом координационного числа и объемной деформации расширяется область пластического сдвига. С увеличением деформации область пластического сдвига постепенно смещается к центру. Кроме того, обсуждена передача усилия в грануляте.This work has been supported by Chinese Postdoctoral Science Foundation (2014M550358)