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arXiv · 1206.4144

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

Pierre Sacré·Rodolphe Sepulchre
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Abstract

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 those models. The paper develops a sensitivity analysis for phase-response curves, a fundamental one-dimensional phase reduction of oscillator models. The proposed theoretical and numerical analysis tools are illustrated on several system-theoretic questions and models arising in the biology of cellular rhythms.

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Pierre Sacré, Rodolphe Sepulchre. 2012-06-19. Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems. https://doi.org/10.1109/mcs.2013.2295710

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