786 citations · 2.4k across the 106 of their papers we have counts for
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Sensitivity analysis of circadian entrainment in the space of phase response curves
Pierre Sacré, Rodolphe Sepulchre
Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundament…
Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems
Pierre Sacré, Rodolphe Sepulchre
Oscillator models are central to the study of system properties such as entrainment or synchronization. Due to their nonlinear nature, few system-theoretic tools exist to analyze t…
Contraction of monotone phase-coupled oscillators
Alexandre Mauroy, Rodolphe Sepulchre
This paper establishes a global contraction property for networks of phase-coupled oscillators characterized by a monotone coupling function. The contraction measure is a total var…
An organizing center in a planar model of neuronal excitability
Alessio Franci, Guillaume Drion, Rodolphe Sepulchre
The paper studies the excitability properties of a generalized FitzHugh-Nagumo model. The model differs from the purely competitive FitzHugh-Nagumo model in that it accounts for th…