Boundary layer solutions to singularly perturbed problems via the implicit function theorem. - Oleh E. Omel'chenko; Lutz Recke (Asymptot. Anal., 2009)

Stability of Spiral Chimera States on a Torus. - Oleh E. Omel'chenko; Matthias Wolfrum; Edgar Knobloch (SIAM J. Appl. Dyn. Syst., 2018)

Mathematical Framework for Breathing Chimera States. - Oleh E. Omel'chenko (J. Nonlinear Sci., 2022)

Periodic solutions in next generation neural field models. - Carlo R. Laing; Oleh E. Omel'chenko (Biol. Cybern., 2023)

Partially Coherent Twisted States in Two-Dimensional Arrays of Phase Oscillators: Interplay of Nonlocal Coupling and Heterogeneity. - Oleh E. Omel'chenko (J. Nonlinear Sci., 2025)