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arXiv · 2003.10003

Emergent dynamics in excitable flow systems

Miguel Ruiz-Garcia·Eleni Katifori
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Abstract

Flow networks can describe many natural and artificial systems. We present a model for a flow system that allows for volume accumulation, includes conduits with a non-linear relation between current and pressure difference, and can be applied to networks of arbitrary topology. The model displays complex dynamics, including self-sustained oscillations in the absence of any dynamics in the inputs and outputs. In this work we analytically show the origin of self-sustained oscillations for the 1D case. We numerically study the behavior of systems of arbitrary topology under different conditions: we discuss their excitability, the effect of different boundary conditions and wave propagation when the network has regions of conduits with linear conductance.

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BibTeXRIS

Miguel Ruiz-Garcia, Eleni Katifori. 2020-03-22. Emergent dynamics in excitable flow systems. https://doi.org/10.1103/physreve.103.062301

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