Desynchronization in Oscillatory Networks Based on Yakubovich Oscillatority
Sergei A. Plotnikov, Alexander L. Fradkov
TL;DR
This paper introduces a new concept of desynchronization in oscillatory networks using Yakubovich oscillatority, providing conditions and inequalities for desynchronization, validated through simulations on FitzHugh-Nagumo systems.
Contribution
It proposes a novel desynchronization notion based on Yakubovich oscillatority and derives analytical conditions for desynchronization in oscillatory networks.
Findings
Derived a simple inequality guaranteeing network desynchronization.
Validated analytical results with simulation of FitzHugh-Nagumo networks.
Introduced a new framework for analyzing desynchronization in oscillatory systems.
Abstract
The desynchronization problems in oscillatory networks is considered. A new desynchronization notion is introduced and desynchronization conditions are provided. The desynchronization notion is formulated in terms of Yakubovich oscillatority of the auxiliary synchronization error system. As an example, the network of diffusively coupled FitzHugh-Nagumo systems with undirected graph is considered. The simple inequality guaranteeing network desynchronization is derived. The simulation results confirm the validity of the obtained analytical results.
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