439 citations · 769 across the 19 of their papers we have counts for
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nlin.PS2026
Dynamic solutions of next generation neural field models with delays
Oleh E. Omel'chenko, Carlo R. Laing
We study networks of theta neurons arranged on a ring with delayed interactions. In the continuum limit the systems are described by next generation neural field models with delays…
nlin.PS2025
Inverse problems for dynamic patterns in coupled oscillator networks: When larger networks are simpler
Oleh E. Omel'chenko
Networks of coupled phase oscillators are one of the most studied dynamical systems with numerous applications in physics, chemistry, biology, and engineering. Their behaviour is o…
nlin.PS2021
Bumps, chimera states, and Turing patterns in systems of coupled active rotators
Igor Franović, Oleh E. Omel'chenko, Matthias Wolfrum
Self-organized coherence-incoherence patterns, called chimera states, have first been reported in systems of Kuramoto oscillators. For coupled excitable units similar patterns, whe…