Rotating waves in rings of coupled oscillators

DOI10.1080/02681119808806267zbMath0934.34029OpenAlexW2093066866MaRDI QIDQ4258126

Carlo R. Laing

Publication date: 10 April 2000

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02681119808806267

zbMATH Keywords

periodic solutionsdynamical systemsbifurcationoscillatorsquadratic and cubic nonlinearitiesstable rotating waves

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (4)

Cluster solutions in networks of weakly coupled oscillators on a 2D square torus ⋮ Symmetry-Breaking Bifurcations and Patterns of Oscillations in Rings of Crystal Oscillators ⋮ Inter-layer synchronization of periodic solutions in two coupled rings with time delay ⋮ Periodically-forced finite networks of heterogeneous globally-coupled oscillators: a low-di\-men\-sion\-al approach

Cites Work

• The behavior of rings of coupled oscillators
• Global bifurcations of phase-locked oscillators
• Singularities and groups in bifurcation theory. Volume II
• Mutually synchronized relaxation oscillators as prototypes of oscillating systems in biology
• A group-theoretic approach to rings of coupled biological oscillators
• Unidirectional waves on rings: Models for chiral preference of circumnutating plants
• The dynamics of \(n\) weakly coupled identical oscillators
• The chemical basis of morphogenesis

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