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Oscillator models are central to the study of system properties such asentrainment or synchronization. Due to their nonlinear nature, fewsystem-theoretic tools exist to analyze those models. The paper develops asensitivity analysis for phase-response curves, a fundamental one-dimensionalphase reduction of oscillator models. The proposed theoretical and numericalanalysis tools are illustrated on several system-theoretic questions and modelsarising in the biology of cellular rhythms.

Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems