Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems
Dynamical Systems
2024-05-03 v3
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.
Cite
@article{arxiv.1206.4144,
title = {Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems},
author = {Pierre Sacré and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:1206.4144},
year = {2024}
}