PHASE OSCILLATORS WITH SINUSOIDAL COUPLING INTERPRETED IN TERMS OF PROJECTIVE GEOMETRY

DOI10.1142/S0218127411029446zbMath1248.34045OpenAlexW2081398583MaRDI QIDQ3165799

I. N. Stewart

Publication date: 19 October 2012

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411029446

zbMATH Keywords

homogeneous coordinatesODEMöbius groupLie-theoretic interpretation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Global differential geometry (53C99)

Related Items (4)

Magnetization dynamics and geometry: coupled Möbius transformations ⋮ Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review ⋮ Modelling mean fields in networks of coupled oscillators ⋮ Generalized splay states in phase oscillator networks

Cites Work

• Averaging of globally coupled oscillators
• Constants of motion for superconducting Josephson arrays
• Comment on ``Constants of motion for superconductor arrays
• Dynamics of a globally coupled oscillator array
• Symmetry Groupoids and Patterns of Synchrony in Coupled Cell Networks
• Integrability of a globally coupled oscillator array
• Patterns of Synchrony in Coupled Cell Networks with Multiple Arrows

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