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International Journal for Multiscale Computational Engineering

Impact factor: 1.103

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v5.i6.60
pages 491-502

Toward a Complex Automata Formalism for MultiScale Modeling

Alfons G. Hoekstra
Section Computational Science, Faculty of Science, University of Amsterdam, The Netherlands
Eric Lorenz
Section Computational Science, Faculty of Science, University of Amsterdam, The Netherlands
Jean-Luc Falcone
Department of Computer Science, University of Geneva, Switzerland
Bastien Chopard
Computer Science Department, University of Geneva, 1211 Geneva 4, Switzerland

ABSTRACT

Complex Automata were recently proposed as a paradigm to model multiscale 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 multiscale modeling paradigm. By introducing a generic submodel execution loop we identify multiscale coupling templates for each of the five regions. We show the relation between these templates and some multiscale models reported in the literature. Finally, a number of canonical examples are briefly discussed.