Constructing Attractors of Nonlinear Dynamical Systems

Fribourg, Laurent; Kühne, Ulrich; Soulat, Romain

doi:10.4230/OASIcs.FSFMA.2013.53

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Constructing Attractors of Nonlinear Dynamical Systems

Authors Laurent Fribourg, Ulrich Kühne, Romain Soulat

Part of: Volume: 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013)
Part of: Series: Open Access Series in Informatics (OASIcs)
License: Creative Commons Attribution 3.0 Unported license
Publication Date: 2013-07-14

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Document Identifiers

DOI: 10.4230/OASIcs.FSFMA.2013.53
URN: urn:nbn:de:0030-drops-40885

Subject Classification

Keywords

Control theory
Hybrid Systems
Nonlinear dynamical systems

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Abstract

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.

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Laurent Fribourg, Ulrich Kühne, and Romain Soulat. Constructing Attractors of Nonlinear Dynamical Systems. In 1st French Singaporean Workshop on Formal Methods and Applications (FSFMA 2013). Open Access Series in Informatics (OASIcs), Volume 31, pp. 53-60, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013) https://doi.org/10.4230/OASIcs.FSFMA.2013.53

Author Details

Laurent Fribourg

Ulrich Kühne

Romain Soulat

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