Waves and Patterns on Regular Graphs

DOI10.1137/140969488zbMath1325.34051OpenAlexW812457668MaRDI QIDQ5266252

G. Bard Ermentrout, Lawrence C. Udeigwe

Publication date: 30 July 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140969488

zbMATH Keywords

synchronizationgraphsoscillatorsrotating waves

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Biological rhythms and synchronization (92B25) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (6)

Global Stability of the Sync with Amplitude Effects ⋮ Phase-locked patterns of the Kuramoto model on 3-regular graphs ⋮ Rotating wave solutions to lattice dynamical systems I: the anti-continuum limit ⋮ Ultracontractive Properties for Directed Graph Semigroups with Applications to Coupled Oscillators ⋮ Stability of infinite systems of coupled oscillators via random walks on weighted graphs ⋮ Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit

Uses Software

• OEIS

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The geometry and motion of reaction-diffusion waves on closed two- dimensional manifolds
• Waves in a simple, excitable or oscillatory, reaction-diffusion model
• A heuristic description of spiral wave instability in discrete media
• Tutorials in mathematical biosciences. I: Mathematical neuroscience
• Synchronization of Pulse-Coupled Biological Oscillators
• Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I.
• The size of the sync basin
• Stable Periodic Solutions to Discrete and Continuum Arrays of Weakly Coupled Nonlinear Oscillators
• Stable Rotating Waves in Two-Dimensional Discrete Active Media

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