English

Stabilizing Stuart-Landau oscillators via time-varying networks

Adaptation and Self-Organizing Systems 2020-02-19 v1 Statistical Mechanics Pattern Formation and Solitons Neurons and Cognition

Abstract

A procedure is developed and tested to enforce synchronicity in a family of Stuart-Landau oscillators, coupled through a symmetric network. The proposed method exploits network plasticity, as an inherent non autonomous drive. More specifically, we assume that the system is initially confined on a network which turns the underlying homogeneous synchronous state unstable. A properly engineered network can be always generated, which links the same set of nodes, and allows for synchronicity to be eventually restored, upon performing continuously swappings, at a sufficient rate, between the two aforementioned networks. The result is cast in rigorous terms, as follows an application of the average theorem and the critical swapping rate determined analytically.

Keywords

Cite

@article{arxiv.1912.00939,
  title  = {Stabilizing Stuart-Landau oscillators via time-varying networks},
  author = {Claudio Pereti and Duccio Fanelli},
  journal= {arXiv preprint arXiv:1912.00939},
  year   = {2020}
}
R2 v1 2026-06-23T12:33:23.752Z