Complete Phase Synchronization of Nonidentical High-Dimensional Kuramoto Model

被引：0
作者：
Yushi Shi
Ting Li
Jiandong Zhu
机构：
[1] Nanjing Normal University,School of Mathematical Sciences
[2] Nanjing University of Science and Technology,Zijin College
来源：
Journal of Statistical Physics | 2023年 / 190卷
关键词：
Complete phase synchronization; High-dimensional Kuramoto model; Nonidentical Oscillators; Digraph;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For original Kuramoto models with nonidentical oscillators, it is impossible to realize complete phase synchronization. However, this paper reveals that complete phase synchronization can be achieved for a large class of high-dimensional Kuramoto models with nonidentical oscillators. Under the topology of strongly connected digraphs, a necessary and sufficient condition for complete phase synchronization is proposed. Under the condition, an open set in the region of synchronization attraction is obtained, and the limit set of the system trajectories is derived. Finally, some simulations are provided to validate the obtained theoretic results.
引用
收藏
相关论文
共 81 条
  • [1] Bronski JC(2020)A matrix-valued Kuramoto model J. Stat. Phys. 178 595-624
  • [2] Carty TE(2014)Emergent behaviors of a holonomic particle system on a sphere J. Math. Phys. 55 052703-1441
  • [3] Simpson SE(2016)Practical quantum synchronization for the Schrödinger–Lohe system J. Phys. A 49 205203-972
  • [4] Chi D(2014)Complete entrainment of Lohe oscillators under attractive and repulsive couplings SIAM J. Appl. Dyn. Syst. 13 1417-846
  • [5] Choi S-H(2016)Emergence of flocking for a multi-agent system moving with constant speed Commun. Math. Sci. 14 953-196
  • [6] Ha S-Y(2022)Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling Chaos 32 013105-1642
  • [7] Choi S-H(2018)Synchronization: the key to effective communication in animal collectives Trends Cogn. Sci. 22 844-931
  • [8] Cho J(2007)Generalising the Kuramoto model for the study of neuronal synchronisation in the brain Physica D 226 181-807
  • [9] Ha S-Y(2012)Synchronization and transient stability in power networks and nonuniform Kuramoto oscillators SIAM J. Control. Optim. 50 1616-1292
  • [10] Choi S-H(2021)Optimally frequency-synchronized networks of nonidentical Kuramoto oscillators Phys. Rev. E 104 044211-307
123456789