Rotating Waves of Nonlocally Coupled Oscillators on the Annulus

DOI10.1137/21M1452202zbMath1501.70007OpenAlexW4289639109MaRDI QIDQ5095759

Yujie Ding, Bard Ermentrout

Publication date: 10 August 2022

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

Full work available at URL: https://doi.org/10.1137/21m1452202

zbMATH Keywords

rotating wavesnonlocal phase modelsspiral chimeras

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Uses Software

• XPPAUT

Cites Work

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• Mathematical frameworks for oscillatory network dynamics in neuroscience
• Pulse coupled oscillators and the phase resetting curve
• Mathematical foundations of neuroscience
• The behavior of rings of coupled oscillators
• The role of axonal delay in the synchronization of networks of coupled cortical oscillators
• Rotating wave solutions to lattice dynamical systems I: the anti-continuum limit
• Rotating wave solutions to lattice dynamical systems II: persistence results
• Spiral wave chimera in two-dimensional nonlocally coupled FitzHugh-Nagumo systems
• Traveling waves in non-local pulse-coupled networks
• Simulating, Analyzing, and Animating Dynamical Systems
• 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
• PDE Methods for Nonlocal Models
• The mathematics behind chimera states
• Spiral Waves in Reaction-Diffusion Equations
• Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit
• CHIMERA STATES IN A RING OF NONLOCALLY COUPLED OSCILLATORS

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