Topological resilience in non-normal networked systems

Physical Review. E
Malbor Asllani, Timoteo Carletti

Abstract

The network of interactions in complex systems strongly influences their resilience and the system capability to resist external perturbations or structural damages and to promptly recover thereafter. The phenomenon manifests itself in different domains, e.g., parasitic species invasion in ecosystems or cascade failures in human-made networks. Understanding the topological features of the networks that affect the resilience phenomenon remains a challenging goal for the design of robust complex systems. We hereby introduce the concept of non-normal networks, namely networks whose adjacency matrices are non-normal, propose a generating model, and show that such a feature can drastically change the global dynamics through an amplification of the system response to exogenous disturbances and eventually impact the system resilience. This early stage transient period can induce the formation of inhomogeneous patterns, even in systems involving a single diffusing agent, providing thus a new kind of dynamical instability complementary to the Turing one. We provide, first, an illustrative application of this result to ecology by proposing a mechanism to mute the Allee effect and, second, we propose a model of virus spreading in a popula...Continue Reading

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Citations

Dec 14, 2018·Science Advances·Malbor AsllaniTimoteo Carletti
Mar 15, 2020·Physical Review. E·Yongtao ZhangJianxi Gao
Jun 11, 2020·Science Advances·Giacomo BaggioSandro Zampieri
Mar 11, 2020·Scientific Reports·Charlie PilgrimSamuel Johnson
Sep 17, 2020·Science Advances·Giacomo BaggioSandro Zampieri
Apr 16, 2021·Nature·Michel FruchartVincenzo Vitelli

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