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

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.

References in corpus (3)

• Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics
• Kick synchronization versus diffusive synchronization
• Sensitivity analysis of circadian entrainment in the space of phase response curves

Cited by in corpus (9)

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• Phase diffusion and noise temperature of a microwave amplifier based on single unshunted Josephson junction
• Phase Reduction and Synchronization of Coupled Noisy Oscillators
• Rapid Circadian Entrainment in Models of Circadian Genes Regulation
• Extreme phase sensitivity in systems with fractal isochrons