An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs

DOI10.1137/21M1391791zbMath1490.34045arXiv2011.10410OpenAlexW3108772450MaRDI QIDQ5024518

Dan Wilson

Publication date: 26 January 2022

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

Full work available at URL: https://arxiv.org/abs/2011.10410

zbMATH Keywords

coupled oscillatorslimit cycleFloquet theoryphase reductionisostable coordinatesphase-amplitude reduction

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Biological rhythms and synchronization (92B25) Synchronization of solutions to ordinary differential equations (34D06)

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