From bacteria aggregation to Rubik’s cube aggregation

Thời gian: 14h00-14h45, thứ 5 ngày 16 tháng 4 năm 2026

Địa điểm: Phòng 507 nhà A6, Viện Toán học

Tóm tắt: The terminology “synchronization" denotes the adjustment of rhythms via weak interactions in an ensemble of oscillators, and it is one of collective phenomena appearing in oscillatory systems. Despite of its ubiquitous presence in our nature, it became a scientific subject only after Huygen's observation on the asynchronous dynamics of two pendulum clocks in the middle of the seventeenth century. Moreover, its systematic theoretical study based on mathematical models has been done only in a half century ago by two pioneers Arthur Winfree and Yoshiki Kuramoto. In particular, the Kuramoto model has been extensively used as a prototype model for synchronization. In this talk, we provide a brief overview on Kuramoto’s hierarchy for tensor aggregation consisting of four distinct aggregation models such as the Kuramoto model, the swarm sphere model, the Lohe matrix model and the Lohe tensor model, and discuss inclusive relations between them.