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Hyperstructures and memory evolutive systems
Authors:Nils A. Baas  Andrée C. Ehresmann †  Jean-Paul Vanbremeersch
Affiliation:1. Department of Mathematical Sciences , The Norwegian University of Science and Technology , N-7491, Trondheim, Norway baas@math.ntnu.no;3. Faculté de Mathématiques et d'Informatique , 33 rue Saint-Leu, F 80039, Amiens, France
Abstract:The aim of the paper is to compare two different approaches to the modeling of complex natural systems, in particular of their hierarchical organization with higher-order structures and their emergence processes. These approaches are, respectively, the hyperstructures (HS) of Baas and the memory evolutive systems (MES) of Ehresmann and Vanbremeersch. The HS are “structural” while MES, based on category theory, take dynamics more into account. It is shown how the dynamical organization and mechanisms developed for MES rely on simple ideas of a philosophical nature, that might be disengaged from the categorical setting and extended to the general frame of HS.
Keywords:Structure  Hierarchy  Emergence  Category  Dynamics  Complexity
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