The paper argues that network structure cannot be fully inferred from dynamics: fast global dynamics hides local node roles, and fast local dynamics hides global distances, an uncertainty-like tradeoff.
Metaplex networks: influence of the exo-endo structure of complex systems on diffusion
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abstract
In a complex system the interplay between the internal structure of its entities and their interconnection may play a fundamental role in the global functioning of the system. Here, we define the concept of metaplex, which describes such trade-off between internal structure of entities and their interconnections. We then define a dynamical system on a metaplex and study diffusive processes on them. We provide analytical and computational evidences about the role played by the size of the nodes, the location of the internal coupling areas, and the strength and range of the coupling between the nodes on the global dynamics of metaplexes. Finally, we extend our analysis to two real-world metaplexes: a landscape and a brain metaplex. We corroborate that the internal structure of the nodes in a metaplex may dominate the global dynamics (brain metaplex) or play a regulatory role (landscape metaplex) to the influence of the interconnection between nodes.
fields
physics.soc-ph 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Indetermination of networks structure from the dynamics perspective
The paper argues that network structure cannot be fully inferred from dynamics: fast global dynamics hides local node roles, and fast local dynamics hides global distances, an uncertainty-like tradeoff.