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The inherent multidimensionality of temporal variability: how common and rare species shape stability patterns

Archive ouverte | Arnoldi, Jean-François | CCSD

International audience. Empirical knowledge of diversity–stability relationships is mostly based on the analysis of temporal variability. Variability, however, often depends on external factors that act as disturban...

Resilience, reactivity and variability: A mathematical comparison of ecological stability measures

Archive ouverte | Arnoldi, Jean-François | CCSD

International audience. In theoretical studies, the most commonly used measure of ecological stability is resilience: ecosystems asymptotic rate of return to equilibrium after a pulse-perturbation -or shock. A compl...

Unifying dynamical and structural stability of equilibria

Archive ouverte | Arnoldi, Jean-François | CCSD

International audience. We exhibit a fundamental relationship between measures of dynamical and structural stability of linear dynamical systems—e.g. linearized models in the vicinity of equilibria. We show that dyn...

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