Chapter

Computational Science – ICCS 2007

Volume 4487 of the series Lecture Notes in Computer Science pp 922-930

Towards a Complex Automata Framework for Multi-scale Modeling: Formalism and the Scale Separation Map

  • Alfons G. HoekstraAffiliated withSection Computational Science, Faculty of Science, University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam
  • , Eric LorenzAffiliated withSection Computational Science, Faculty of Science, University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam
  • , Jean-Luc FalconeAffiliated withDepartment of Computer Science, University of Geneva, 24, Rue du Général Dufour, 1211 Geneva 4
  • , Bastien ChopardAffiliated withDepartment of Computer Science, University of Geneva, 24, Rue du Général Dufour, 1211 Geneva 4

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Abstract

Complex Automata were recently proposed as a paradigm to model multi-scale complex systems. The concept is formalized and the scale separation map is further investigated in relation with its capability to specify the components of Complex Automata. Five classes of scale separation are identified, each potentially giving rise to a specific multi-scale modeling paradigm. A number of canonical examples are briefly discussed.

Keywords

Complex Automata Cellular Automata Multi-Scale Modeling Scale Separation Map