Corrections to "basins of attraction in fully asynchronous discrete-time discrete-state dynamic networks"

Jacques Bahi (1) , Sylvain Contassot-Vivier (2)

1 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)
2 ALGORILLE - Algorithms for the Grid

This comments paper brings a correction to the formulation of the basins of fixed point states of fully asynchronous discrete-time discrete-state dynamic networks presented in [1]. In our subsequent works on totally asynchronous systems, we have discovered that the formulation given in that previous paper lacks an additional condition. We present in this paper why the previous formulation is incomplete and give the correct formulation.

Mots clés: Dynamical systems; basins of attraction; formal description

Domaines: Calcul parallèle, distribué et partagé [cs.DC]

Jacques Bahi, Sylvain Contassot-Vivier. Corrections to "basins of attraction in fully asynchronous discrete-time discrete-state dynamic networks". IEEE Transactions on Neural Networks, 2009, 20 (8), pp.1372-1374. ⟨10.1109/TNN.2009.2027016⟩. ⟨inria-00430275⟩