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Emergent dynamics in excitable flow systems.

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This study introduces a new flow network model capable of volume accumulation and complex dynamics. It analytically and numerically demonstrates the origin of self-sustained oscillations in these systems.

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Area of Science:

  • Physics
  • Applied Mathematics
  • Network Science

Background:

  • Flow networks model diverse natural and artificial systems.
  • Existing models often lack volume accumulation or nonlinear conduit properties.
  • Understanding complex dynamics in flow networks is crucial for system design.

Purpose of the Study:

  • To present a novel flow network model incorporating volume accumulation and nonlinear conduits.
  • To investigate the complex dynamics, including self-sustained oscillations, within these networks.
  • To analyze system behavior under various conditions and network topologies.

Main Methods:

  • Development of a mathematical model for flow systems with volume accumulation.
  • Analytical investigation of self-sustained oscillations in one-dimensional networks.
  • Numerical simulations to study network behavior, excitability, and wave propagation in arbitrary topologies.

Main Results:

  • The model successfully captures volume accumulation and nonlinear conduit behavior.
  • Self-sustained oscillations arise intrinsically within the network, independent of external dynamics.
  • Numerical studies reveal insights into excitability, boundary condition effects, and wave propagation.

Conclusions:

  • The proposed model offers a versatile framework for studying complex flow networks.
  • The findings elucidate the mechanisms behind self-sustained oscillations in such systems.
  • This work provides a foundation for analyzing and designing intricate flow systems.