Work

Two-cluster synchronization in a fully coupled network of Mackey–Glass generators

Year: 2024

Type: article

Abstract: We study a fully connected network of Mackey–Glass generators, each described by the Mackey–Glass delay differential equation. This system can exhibit non-trivial behaviour over time. One interesting scenario of such behaviour is cluster synchronization—regimes in which all components are divided into several groups, each oscillating in the same mode. Cluster synchronization can appear in various systems, such as neural networks and biological systems. In this work, we investigate the case of two-cluster synchronization and prove the existence of such modes.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100930

Author: V. Alekseev

Institution: Yaroslavl State University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,230

Funder: Russian Science Foundation