
Scientific publications
 M. BatailleGonzalez, M. G. Clerc, E. Knobloch, and O. E. Omel'chenko
"Traveling spiral wave chimeras in coupled oscillator systems: emergence, dynamics, and transitions"
New J. Phys. (2023) OPEN ACCESS
 C. R. Laing and O. E. Omel'chenko
"Periodic solutions in next generation neural field models"
Biol. Cybern. (2023)
[preprint]
 E. S. Medeiros, O. Omel'chenko, and U. Feudel
"Transient chimera states emerging from dynamical trapping in chaotic saddles"
Chaos 33, 093130 (2023)
[preprint]
 O. E. Omel'chenko
"Periodic orbits in the OttAntonsen manifold"
Nonlinearity 36, 845861 (2023) OPEN ACCESS
 V. Butuzov, N. Nefedov, O. Omel'chenko, and L. Recke
"Boundary layer solutions to singularly perturbed quasilinear systems"
Discrete Contin. Dyn. Syst.  B 27, 42554283 (2022)
 O. Omel'chenko and C. R. Laing
"Collective states in a ring network of theta neurons"
Proc. R. Soc. A 478, 20210817 (2022) OPEN ACCESS
 O. E. Omel'chenko and T. Tél
"Focusing on transient chaos"
J. Phys. Complex. 3, 010201 (2022) OPEN ACCESS
 O. E. Omel'chenko
"Mathematical framework for breathing chimera states"
J. Nonlinear Sci. 32, 22 (2022)
[preprint]
 I. Franović, O. E. Omel'chenko, and M. Wolfrum
"Bumps, chimera states, and Turing patterns in systems of coupled active rotators"
Phys. Rev. E 104, L052201 (2021)
[preprint]
 M. BatailleGonzalez, M. G. Clerc, and O. E. Omel'chenko
"Moving spiral wave chimeras"
Phys. Rev. E 104, L022203 (2021)
 O. E. Omel'chenko, J. L. OcampoEspindola, and I. Z. Kiss
"Asymmetryinduced isolated fully synchronized state in coupled oscillator populations"
Phys. Rev. E 104, L022202 (2021)
 J. L. OcampoEspindola, O. E. Omel'chenko, and I. Z. Kiss
"Nonmonotonic transients to synchrony in Kuramoto networks and electrochemical oscillators"
J. Phys. Complex. 2, 015010 (2021) OPEN ACCESS
 C. R. Laing and O. E. Omel'chenko
"Moving bumps in theta neuron networks"
Chaos 30, 043117 (2020)
[preprint]
 O. E. Omel'chenko
"Nonstationary coherenceincoherence patterns in nonlocally coupled heterogeneous phase oscillators"
Chaos 30, 043103 (2020)
 O. E. Omel'chenko
"Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling"
Nonlinearity 33, 611642 (2020) OPEN ACCESS
 O. E. Omel'chenko and E. Knobloch
"Chimerapedia: Coherenceincoherence patterns in one, two and three dimensions"
New J. Phys. 21, 093034 (2019) OPEN ACCESS
 V. F. Butuzov, N. N. Nefedov, O. E. Omel'chenko, and L. Recke
"Partly dissipative system with multizonal initial and boundary layers"
J. Phys.: Conf. Ser. 1205, 012009 (2019) OPEN ACCESS
 O. E. Omel'chenko
"Traveling chimera states"
J. Phys. A: Math. Theor. 52, 104001 (2019)
 I. Franović, O. E. Omel'chenko, and M. Wolfrum
"Phasesensitive excitability of a limit cycle"
Chaos 28, 071105 (2018)
[preprint]
 O. E. Omel'chenko, M. Sebek, and I. Z. Kiss
"Universal relations of local order parameters for partially synchronized oscillators"
Phys. Rev. E 97, 062207 (2018)
 O. E. Omel'chenko
"The mathematics behind chimera states"
Nonlinearity 31, R121R164 (2018)
[preprint]
 I. Omelchenko, O. E. Omel'chenko, A. Zakharova, and E. Schöll
"Optimal design of tweezer control for chimera states"
Phys. Rev. E 97, 012216 (2018)
[preprint]
 O. E. Omel'chenko, M. Wolfrum, and E. Knobloch
"Stability of spiral chimera states on a torus"
SIAM J. Appl. Dyn. Syst. 17, 97127 (2018)
[preprint]
 A. P. Willis, Y. Duguet, O. Omel'chenko, and M. Wolfrum
"Surfing the edge: using feedback control to find nonlinear solutions"
J. Fluid Mech. 831, 579591 (2017)
[preprint]
 V. F. Butuzov, N. N. Nefedov, O. E. Omel'chenko, L. Recke, and K. R. Schneider
"An implicit function theorem and applications to nonsmooth boundary layers"
In: Gurevich P., Hell J., Sandstede B., Scheel A. (eds) Patterns of Dynamics. PaDy 2016.
Springer Proceedings in Mathematics & Statistics, Vol. 205, Springer, Cham,
pp. 111127 (2017)
 O. E. Omel'chenko, L. Recke, V. F. Butuzov, and N. N. Nefedov
"Timeperiodic boundary layer solutions to singularly perturbed parabolic problems"
J. Diff. Eq. 262, 48234862 (2017)
[preprint]
 O. E. Omel'chenko and M. Wolfrum
"Is there an impact of small phase lags in the Kuramoto model?"
Chaos 26, 094806 (2016)
[preprint]
 I. Omelchenko, O. E. Omel'chenko, A. Zakharova, M. Wolfrum, and E. Schöll
"Tweezers for chimeras in small networks"
Phys. Rev. Lett. 116, 114101 (2016)
[preprint]
 M. Wolfrum, S. V. Gurevich, and O. E. Omel'chenko
"Turbulence in the OttAntonsen equation for arrays of coupled phase oscillators"
Nonlinearity 29, 257270 (2016)
[preprint]
 M. Wolfrum, O. E. Omel'chenko, and J. Sieber
"Regular and irregular patterns of selflocalized excitation in arrays of coupled phase oscillators"
Chaos 25, 053113 (2015)
[preprint]
 O. E. Omel'chenko and L. Recke
"Existence, local uniqueness and asymptotic approximation of spike solutions to singularly perturbed elliptic problems"
Hiroshima Math. J. 45, 3589 (2015)
[preprint]
 O. E. Omel'chenko, M. Wolfrum, and C. R. Laing
"Partially coherent twisted states in arrays of coupled phase oscillators"
Chaos 24, 023102 (2014)
[preprint]
 J. Sieber, O. E. Omel'chenko, and M. Wolfrum
"Controlling unstable chaos: Stabilizing chimera states by feedback"
Phys. Rev. Lett. 112, 054102 (2014)
[preprint]
 O. E. Omel'chenko and M. Wolfrum
"Bifurcations in the SakaguchiKuramoto model"
Physica D 263, 7485 (2013)
[preprint]
 O. E. Omel'chenko
"Coherenceincoherence patterns in a ring of nonlocally coupled phase oscillators"
Nonlinearity 26, 24692498 (2013)
[preprint]
 I. Omelchenko, O. E. Omel'chenko, P. Hövel, and E. Schöll
"When nonlocal coupling between oscillators becomes stronger: Patched synchrony or multichimera states"
Phys. Rev. Lett. 110, 224101 (2013)
[preprint]
 O. E. Omel'chenko and M. Wolfrum
"Nonuniversal transitions to synchrony in the SakaguchiKuramoto model"
Phys. Rev. Lett. 109, 164101 (2012)
[preprint]
 O. E. Omel'chenko, M. Wolfrum, S. Yanchuk, Y. L. Maistrenko, and O. Sudakov
"Stationary patterns of coherence and incoherence in twodimensional arrays of nonlocallycoupled phase oscillators"
Phys. Rev. E 85, 036210 (2012)
[preprint]
 M. Wolfrum and O. E. Omel'chenko
"Chimera states are chaotic transients"
Phys. Rev. E 84, 015201 (2011)
[preprint]
 M. Wolfrum, O. E. Omel'chenko, S. Yanchuk, and Y. L. Maistrenko
"Spectral properties of chimera states"
Chaos 21, 013112 (2011)
[preprint]
 O. E. Omel'chenko, Y. L. Maistrenko, and P. A. Tass
"Chimera states induced by spatially modulated delayed feedback"
Phys. Rev. E 82, 066201 (2010)
 O. E. Omel'chenko, M. Wolfrum, and Y. L. Maistrenko
"Chimera states as chaotic spatiotemporal patterns"
Phys. Rev. E 81, 065201 (2010)
 O. E. Omel'chenko and L. Recke
"Boundary layer solutions to singularly perturbed problems via the implicit function theorem"
Asymptotic Analysis 62, 207225 (2009)
[preprint]
 L. Recke and O. E. Omel'chenko
"Boundary layer solutions to problems with infinitedimensional singular and regular perturbations"
J. Diff. Eq. 245, 38063822 (2008)
[preprint]
 O. E. Omel'chenko, C. Hauptmann, Y. L. Maistrenko, and P. A. Tass
"Collective dynamics of globally coupled phase oscillators under multisite delayed feedback stimulation"
Physica D 237, 365384 (2008)
 O. E. Omel'chenko, Y. L. Maistrenko, and P. A. Tass
"Chimera states: the Natural link between coherence and incoherence"
Phys. Rev. Lett. 100, 044105 (2008)
 C. Hauptmann, O. E. Omel'chenko, O. V. Popovych, Y. L. Maistrenko, and P. A. Tass
"Control of spatially patterned synchrony with multisite delayed feedback"
Phys. Rev. E 76, 066209 (2007)
 N. N. Nefedov, O. E. Omel'chenko, and L. Recke
"Stationary internal layers in a reactionadvectiondiffusion integrodifferential system"
Comp. Math. and Math. Phys. 46, 594615 (2006)
[preprint]
 O. E. Omel'chenko
"Periodic solutions to the Dirichlet boundary value problem for a quasilinear parabolic equation with low diffusivity"
Doklady Mathematics 72, 946948 (2005)
 O. E. Omel'chenko
"Periodic steplike contrast structures for a quasilinear parabolic equation with small diffusion coefficient"
Nonlinear Oscillations 8, 329350 (2005)
 O. E. Omel'chenko
"Steplike contrast structures for a secondorder singularly perturbed quasilinear differential equations in the critical case"
Comp. Math. and Math. Phys. 45, 454464 (2005)
 A. B. Vasil'eva and O. E. Omel'chenko
"Contrast structures of variable type in quasilinear parabolic equations"
Differential Equations 40, 14311448 (2004)
 A. B. Vasil'eva and O. E. Omel'chenko
"Alternating contrast structures in singularly perturbed quasilinear equations"
Doklady Mathematics 67, 346348 (2003)
 N. N. Nefedov and O. E. Omel'chenko
"Boundarylayer solutions to quasilinear integrodifferential equations of the second order"
Comp. Math. and Math. Phys. 42, 470482 (2002)
 A. B. Vasil'eva and O. E. Omel'chenko
"Periodic steplike contrast structures for a singularly perturbed parabolic equation"
Differential Equations 36, 236246 (2000)
 A. B. Vasil'eva and O. E. Omel'chenko
"Steplike contrast structures for a singularly perturbed elliptic equation in an annulus"
Comp. Math. and Math. Phys. 40, 118130 (2000)

