Connectivity and Synchronization in Bounded Confidence Kuramoto Oscillators

被引：1

作者：

Srivastava, Trisha ^{[1
]}

Bernardo, Carmela ^{[2
]}

Altafini, Claudio ^{[2
]}

Vasca, Francesco ^{[1
]}

机构：

[1] Univ Sannio, Dept Engn, I-82100 Benevento, Italy

[2] Linkoping Univ, Dept Elect Engn, SE-58183 Linkoping, Sweden

来源：

IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷

关键词：

Oscillators; Couplings; Synchronization; Frequency synchronization; Analytical models; Steady-state; Mathematical models; Kuramoto oscillators; networks; bounded confidence opinion dynamics; synchronization; clustering; HEGSELMANN-KRAUSE MODEL; STABILITY; DYNAMICS; NETWORKS;

D O I：

10.1109/LCSYS.2024.3405379

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Frequency synchronization of bounded confidence Kuramoto oscillators is analyzed. The dynamics of each oscillator is defined by the average of the phase differences with its neighbors, where any two oscillators are considered neighbors if their geodesic distance is less than a certain confidence threshold. A phase-dependent graph is defined whose nodes and edges represent the oscillators and their connections, respectively. It is studied how the connectivity of the graph influences steady-state behaviors of the oscillators. It is proved that the oscillators synchronize asymptotically if the subgraph of each partition, possibly not complete, eventually remains constant over time. Simulation results show the application of the theoretical findings also in the presence of oscillators having different natural frequencies.

引用

页码：874 / 879

页数：6

共 23 条

[1] The Kuramoto model:: A simple paradigm for synchronization phenomena [J].