Global phase-amplitude description of oscillatory dynamics via the parameterization method

DOI10.1063/5.0010149zbMath1455.34034arXiv2004.03647OpenAlexW3106179898WikidataQ98886618 ScholiaQ98886618MaRDI QIDQ5129869

Gemma Huguet, Alberto Pérez-Cervera, Teresa M. Seara

Publication date: 2 November 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03647

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) Invariant manifolds for ordinary differential equations (34C45)

Related Items (4)

Quantitative comparison of the mean-return-time phase and the stochastic asymptotic phase for noisy oscillators ⋮ High-Order Accuracy Computation of Coupling Functions for Strongly Coupled Oscillators ⋮ Shape versus Timing: Linear Responses of a Limit Cycle with Hard Boundaries under Instantaneous and Static Perturbation ⋮ An Adaptive Phase-Amplitude Reduction Framework without $\mathcal{O}(\epsilon)$ Constraints on Inputs

Uses Software

• Taylor

Cites Work

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