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Bibliographic Details
Main Authors: Sacré, Pierre, Sepulchre, Rodolphe
Format: Preprint
Published: 2012
Subjects:
Online Access:https://arxiv.org/abs/1206.4144
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Table of Contents:
  • 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.