Computing Arnol'd tongue scenarios

DOI10.1016/j.jcp.2006.05.041zbMath1114.37046OpenAlexW2023391060MaRDI QIDQ868253

Bruce B. Peckham, Frank Schilder

Publication date: 19 February 2007

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2006.05.041

zbMATH Keywords

coupled oscillatorstwo-point boundary value problembifurcation diagramsynchronisationinvariant torusArnol'd tonguecircle-mapsquasi-periodic arc

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems involving maps of the circle (37E10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) (n)-body problems (70F10) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

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Uses Software

• AUTO
• HomCont
• Torcont

Cites Work

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