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Event-based simulation of networks with pulse delayed coupling.

Vladimir Klinshov1, Vladimir Nekorkin1

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Chaos (Woodbury, N.Y.)
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We present a simulation framework for networks with pulse delayed coupling, a common interaction type. This framework introduces a discrete map and computation algorithm for analyzing network dynamics.

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Area of Science:

  • Complex systems
  • Network science
  • Computational modeling

Background:

  • Pulse-mediated interactions are prevalent across diverse natural networks.
  • Understanding the dynamics of these networks is crucial for various scientific disciplines.

Purpose of the Study:

  • To develop a general computational framework for simulating networks with pulse delayed coupling.
  • To introduce a discrete map that governs the dynamics of such networks.

Main Methods:

  • Development of a general simulation framework.
  • Introduction of a discrete map to model network dynamics.
  • Description of a computation algorithm for numerical simulation.

Main Results:

  • A novel framework for simulating pulse delayed coupled networks has been established.
  • The discrete map governing the network dynamics is defined.
  • An efficient computation algorithm for numerical simulation is presented.

Conclusions:

  • The developed framework provides a versatile tool for studying pulse delayed coupled networks.
  • The discrete map and algorithm facilitate the analysis of complex network behaviors.
  • This work contributes to the understanding of dynamic processes in networked systems.