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Constructing Attractors of Nonlinear Dynamical Systems Fribourg, Laurent Kühne, Ulrich Soulat, Romain Control theory Hybrid Systems Nonlinear dynamical systems In a previous work, we have shown how to generate attractor sets of affine hybrid systems using a method of state space decomposition. We show here how to adapt the method to polynomial dynamics systems by approximating them as switched affine systems. We show the practical interest of the method on standard examples of the literature. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Laurent Fribourg and Ulrich Kühne and Romain Soulat 2013 Is Part Of OASIcs, Volume 31, 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/OASIcs.FSFMA.2013.53 urn:nbn:de:0030-drops-40885 https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.FSFMA.2013.53 eng https://creativecommons.org/licenses/by/3.0/legalcode