Construction,sensitivity index, and synchronization speed of optimal networks

@article{Fish2017ConstructionsensitivityIA,
  title={Construction,sensitivity index, and synchronization speed of optimal networks},
  author={Jeremie Fish and Jie Sun},
  journal={arXiv: Chaotic Dynamics},
  year={2017},
  volume={5},
  pages={86-94}
}
The stability (or instability) of synchronization is important in a number of real world systems, including the power grid, the human brain and biological cells. For identical synchronization, the synchronizability of a network, which can be measured by the range of coupling strength that admits stable synchronization, can be optimized for a given number of nodes and links. Depending on the geometric degeneracy of the Laplacian eigenvectors, optimal networks can be classified into different… 

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The essential synchronization backbone problem.
TLDR
A new optimization goal is proposed in seeking the minimum subset of the edge set of the original network that enables the same essential ability to synchronize in that the synchronization manifolds have conjugate stability.
Non-normality, optimality and synchronization
Jeremie Fish∗ and Erik Bollt Clarkson University, Department of Electrical and Computer Engineering, Potsdam, NY, USA and Clarkson Center for Complex Systems Science, Potsdam, NY, USA (Dated:
Comment on"Synchronization dynamics in non-normal networks: the trade-off for optimality"
Reference [1] has been harshly criticized in [2]. However, [1] is one of the first papers to highlight the important connection between synchronization of networks of oscillators and non-normality of
Synchronization Dynamics in Non-Normal Networks: The Trade-Off for Optimality
TLDR
It is demonstrated that, due to a transient growth that is induced by the structure’s non-normality, the system might lose synchronization, contrary to the spectral prediction, leading to a trade-off between non- normality and directedness that should be properly considered when designing an optimal network.
Comment on"Synchronization dynamics in non-normal networks: the trade-off for optimality"
A recent paper by R. Muolo, T. Carletti, J. P. Gleeson, and M. Asllani [Entropy 23, 36 (2021)] presents a mainly numerical study on the role of non-normality in the synchronization of coupled

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