报告人:邹为(华南师范大学)
报告时间:2026年10月17日(星期六)8:00-11:00
报告地点:腾讯会议:717 308 576
报告摘要:In this work, we focus on examining the phase transition to synchronization in four-dimensional (4D) Kuramoto model with isoclinic rotation. We uncover that the synchronization transition is continuous as increasing the strength of coupling. Surprisingly, we find that the uniformly incoherent state loses its stability via a Hopf bifurcation at the critical coupling strength. Subsequently, a time-dependent rhythmic state appears as further increasing the coupling strength,which is found to exist for a pronounced interval of coupling strength. For a sufficiently large coupling strength, the system transits to partially locked states, whereas the rhythmic state no longer exist. We provide the analytic description of the onset of the rhythmic state by performing the linear stability of incoherence. We also obtain a self-consistency equation for the order parameter, which theoretically predicts the degree of coherence of the partially locked sates for the sufficiently large coupling strength.
报告人简介:邹为,华南师范大学教授、博士生导师,2010年于中国科学院武汉物理与数学研究所获应用数学博士学位,博士论文获2011年度中国科学院优秀博士论文奖。先后获得德国洪堡学者、香港香江学者、广东省青年珠江学者。长期致力于复杂系统、非线性科学理论研究,在复杂耦合非线性系统的集体动力学行为研究问题上取得系列成果。现任中国物理学会Chin. Phys. Lett.、Chin. Phys. B、物理学报和物理四刊联合青年编委。
邀请人:胡鹏