北京师范大学学报（自然科学版）2023，Vol.59Issue(6)：992-1001,10.DOI:10.12202/j.0476-0301.2023198
复杂系统同步的自组织动力学与统计物理学
Self-organization dynamics and statistical physics of synchronization in complex systems
摘要
Abstract
Order-parameter theory of self-organized synchronization in complex systems is proposed.Low-dimensional dynamical equations of order parameters are derived in terms of dimension reduction schemes such as Ott-Antonsen ansatz.The mechanisms,forms,and manifestations of the emergence of synchronization are explored at both microscopic and macroscopic levels.Order parameter dynamics of synchronization in heterogeneously coupled oscillators are investigated.It is found that coupling heterogeneity may induce the Bellerophon state.Explosive desynchronization transitions are revealed in coupled oscillators with multiplex network topologies,and these transitions are irreversible.Synchronization dynamics is studied for oscillators with nonlinear couplings.Various transitions and scaling relations are investigated at the onset of synchronization.Three types of transitions(explosive,continuous and hybrid synchronizations)are identified.These studies shed light on both theoretical understandings and potential applications of collective behaviors in complex systems.关键词
复杂系统/同步/涌现/自组织/序参量Key words
complex systems/synchronization/emergence/self-organization/order parameter分类
数理科学引用本文复制引用
郑志刚..复杂系统同步的自组织动力学与统计物理学[J].北京师范大学学报（自然科学版）,2023,59(6):992-1001,10.基金项目
国家自然科学基金资助项目(11875135 （）
12375031) （）
