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

Authors:
Alfons G. Hoekstra;Eric Lorenz;Jean-Luc Falcone;Bastien Chopard
Affiliations:
Section Computational Science, Faculty of Science, University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam, The Netherlands;Section Computational Science, Faculty of Science, University of Amsterdam, Kruislaan 403, 1098 SJ Amsterdam, The Netherlands;Department of Computer Science, University of Geneva, 24, Rue du Général Dufour, 1211 Geneva 4, Switzerland;Department of Computer Science, University of Geneva, 24, Rue du Général Dufour, 1211 Geneva 4, Switzerland
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Year:
2007

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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.