Synchronization of weakly nonlinear oscillators with Huygens' coupling

DOI10.1063/1.4816360zbMath1323.34047OpenAlexW2100020507WikidataQ86439778 ScholiaQ86439778MaRDI QIDQ3193345

R. H. B. Fey, Jonatan Pena Ramirez, Henk Nijmeijer

Publication date: 28 October 2015

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

Full work available at URL: https://research.tue.nl/nl/publications/aebca685-48c5-4f7d-bd7c-008d8c8bcb2c

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (5)

A concept of coupled chaotic synchronous observers for nonlinear and adaptive observers-based chaos synchronization ⋮ The Poincaré method: A powerful tool for analyzing synchronization of coupled oscillators ⋮ Enforcing synchronization in oscillators with Huygens' coupling via feed-forward control ⋮ Multi-headed loop chimera states in coupled oscillators ⋮ Synchronization of clocks and metronomes: A perturbation analysis based on multiple timescales

Cites Work

• Nonlinear differential equations and dynamical systems
• A Study of Huijgens’ Synchronization: Experimental Results
• Limit cycle analysis of the verge and foliot clock escapement using impulsive differential equations and Poincaré maps
• Huygens's clocks
• Huygens (and others) revisited
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