Connectance and stability of linear differential systems.

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

Numerical experiments allow the study of the local stability of dynamical systems as a function of their connectance: when this connectance is high, this local stability is improbable. Effects of substitutability versus complementarity are also studied. Moreover, as shown by the diagonal dominance theorem, the situation is quite different for some systems resulting from economic models.

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