Optimal Control of Oscillation Timing and Entrainment Using Large Magnitude Inputs: An Adaptive Phase-Amplitude-Coordinate-Based Approach

DOI10.1137/20M1373165zbMath1475.92021arXiv2102.04535OpenAlexW3201818010WikidataQ109040798 ScholiaQ109040798MaRDI QIDQ5164903

Dan Wilson

Publication date: 15 November 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04535

zbMATH Keywords

optimal controlentrainmentphase reductionisostable coordinatescircadian physiologydata-driven modeling

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Biological rhythms and synchronization (92B25)

Related Items (6)

Phase-amplitude coordinate-based neural networks for inferring oscillatory dynamics ⋮ Reduced Order Characterization of Nonlinear Oscillations Using an Adaptive Phase-Amplitude Coordinate Framework ⋮ A Reduced Order Modeling Framework for Strongly Perturbed Nonlinear Dynamical Systems Near Arbitrary Trajectory Sets ⋮ A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models ⋮ Data-driven model identification using forcing-induced limit cycles ⋮ An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs

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