The Poincaré method: A powerful tool for analyzing synchronization of coupled oscillators

DOI10.1016/j.indag.2015.11.008zbMath1385.34040OpenAlexW2182721682MaRDI QIDQ344725

Jonatan Pena Ramirez, Henk Nijmeijer

Publication date: 24 November 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.11.008

zbMATH Keywords

time-delaysynchronizationcoupled systemsPoincaré method

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (4)

Enforcing synchronization in oscillators with Huygens' coupling via feed-forward control ⋮ Huygens' clocks: ‘sympathy’ and resonance ⋮ Synchronization of asymmetrically coupled systems ⋮ Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales

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• Synchronization of weakly nonlinear oscillators with Huygens' coupling
• A New Sufficient Condition for Periodic Solutions of Weakly Nonlinear Differential Systems
• The geometry of resonance tongues: a singularity theory approach

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