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Beyond Particle Systems: Operator Networks

Mauno Rönkkö, Marina Waldén, Ralph-Johan Back, Beyond Particle Systems: Operator Networks. Simulation Modelling Practice and Theory , 2008.

Abstract:

Particle systems are used for simulating non-linear dynamics of complex systems. They
are
computationally attractive, because the models are simple difference equations. The difference
equations, however, constitute a closed system lacking scalability and intentionality; it is hard to
"reverse engineer" the equations, to understand the relations of the variables and coefficients to
the dynamics displayed by the simulation. Consequently, much of the modeling work goes into
finding workarounds. In this paper, we study a potential solution. As the main contribution, we
formalize particle system computations as mathematical operator networks, to gain intentionality
and modularity. Operators also support the inclusion of processes outside the mathematical
domain of difference equations. We illustrate the use of operator networks by simulating the
construction and dynamics of an hourglass.

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BibTeX entry:

@ARTICLE{jRoWaBa08a,
  title = {Beyond Particle Systems: Operator Networks},
  author = {Rönkkö, Mauno and Waldén, Marina and Back, Ralph-Johan},
  journal = {Simulation Modelling Practice and Theory},
  year = {2008},
  keywords = {particle systems, operator networks, non-linear dynamics, complex systems},
}

Belongs to TUCS Research Unit(s): Distributed Systems Laboratory (DS Lab), Software Construction Laboratorium

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