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Characterizing turbulence in globally coupled maps with stochastic finite automata |
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| Authors: | Jordi Delgado,Ricard V. Sol |
| Affiliation: | a Departament de Llenguatges i Sistemes Informatics, Universitat Politècnica de Catalunya, Campus Nord, Mòdul C6, 08034 Barcelona, Spain b Complex Systems Research Group, Department of Physics (FEN), Universitat Politècnica de Catalunya, Campus Nord, Mòdul B4, 08034 Barcelona, Spain |
| Abstract: | We describe a method to discriminate between ordered and turbulent behavior in a general class of collective systems known as Globally Coupled Maps (GCM). Our method is able to discover an unknown small ordered region inside the turbulent phase of GCM parameter space. The computational nature of the method is the main novelty of our approach; it is another example of how measures based on computational notions of structure may provide new information in the study of dynamical systems. |
| Keywords: | Statistical complexity Globally coupled maps Computational mechanics |
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