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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2012
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1206.4144 |
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| _version_ | 1866909186528378880 |
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| author | Sacré, Pierre Sepulchre, Rodolphe |
| author_facet | Sacré, Pierre Sepulchre, Rodolphe |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1206_4144 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems Sacré, Pierre Sepulchre, Rodolphe Dynamical Systems 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. |
| title | Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/1206.4144 |