Stabilizing Stuart-Landau oscillators via time-varying networks
arXiv:1912.00939 · doi:10.1016/j.chaos.2019.109587
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.
References in corpus (9)
- Synchronization in complex networks
- Synchronization in small-world systems
- Synchronization in Complex Oscillator Networks and Smart Grids
- The theory of Turing patterns on time varying networks
- Strong Effects of Network Architecture in the Entrainment of Coupled Oscillator Systems
- Benjamin-Feir instabilities on directed networks
- Desynchronization induced by time-varying network
- Long-range Response in AC Electricity Grids
- Global topological control for synchronized dynamics on networks