Dr. Oleh Omel'chenko

• Research interests

• Curriculum vitae

• Publications

• Contact

Scientific publications

• C. R. Laing and O. E. Omel'chenko
  "Periodic solutions in next generation neural field models"
  Biol. Cybern. 117, 259-274 (2023)    [preprint]


• M. Bataille-Gonzalez, 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. 25, 103023 (2023)   OPEN ACCESS


• 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 Ott-Antonsen manifold"
  Nonlinearity 36, 845-861 (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, 4255-4283 (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. Bataille-Gonzalez, M. G. Clerc, and O. E. Omel'chenko
  "Moving spiral wave chimeras"
  Phys. Rev. E 104, L022203 (2021)


• O. E. Omel'chenko, J. L. Ocampo-Espindola, and I. Z. Kiss
  "Asymmetry-induced isolated fully synchronized state in coupled oscillator populations"
  Phys. Rev. E 104, L022202 (2021)


• J. L. Ocampo-Espindola, O. E. Omel'chenko, and I. Z. Kiss
  "Non-monotonic 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 coherence-incoherence 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, 611-642 (2020)   OPEN ACCESS


• O. E. Omel'chenko and E. Knobloch
  "Chimerapedia: Coherence-incoherence 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
  "Phase-sensitive 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, R121-R164 (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, 97-127 (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, 579-591 (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. 111-127 (2017)


• O. E. Omel'chenko, L. Recke, V. F. Butuzov, and N. N. Nefedov
  "Time-periodic boundary layer solutions to singularly perturbed parabolic problems"
  J. Diff. Eq. 262, 4823-4862 (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 Ott-Antonsen equation for arrays of coupled phase oscillators"
  Nonlinearity 29, 257-270 (2016)    [preprint]


• M. Wolfrum, O. E. Omel'chenko, and J. Sieber
  "Regular and irregular patterns of self-localized 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, 35-89 (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 Sakaguchi-Kuramoto model"
  Physica D 263, 74-85 (2013)    [preprint]


• O. E. Omel'chenko
  "Coherence-incoherence patterns in a ring of non-locally coupled phase oscillators"
  Nonlinearity 26, 2469-2498 (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 Sakaguchi-Kuramoto 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 two-dimensional arrays of non-locally-coupled 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, 207-225 (2009)    [preprint]


• L. Recke and O. E. Omel'chenko
  "Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations"
  J. Diff. Eq. 245, 3806-3822 (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, 365-384 (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 reaction-advection-diffusion integro-differential system"
  Comp. Math. and Math. Phys. 46, 594-615 (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, 946-948 (2005)


• O. E. Omel'chenko
  "Periodic step-like contrast structures for a quasilinear parabolic equation with small diffusion coefficient"
  Nonlinear Oscillations 8, 329-350 (2005)


• O. E. Omel'chenko
  "Steplike contrast structures for a second-order singularly perturbed quasilinear differential equations in the critical case"
  Comp. Math. and Math. Phys. 45, 454-464 (2005)


• A. B. Vasil'eva and O. E. Omel'chenko
  "Contrast structures of variable type in quasilinear parabolic equations"
  Differential Equations 40, 1431-1448 (2004)


• A. B. Vasil'eva and O. E. Omel'chenko
  "Alternating contrast structures in singularly perturbed quasilinear equations"
  Doklady Mathematics 67, 346-348 (2003)


• N. N. Nefedov and O. E. Omel'chenko
  "Boundary-layer solutions to quasilinear integro-differential equations of the second order"
  Comp. Math. and Math. Phys. 42, 470-482 (2002)


• A. B. Vasil'eva and O. E. Omel'chenko
  "Periodic step-like contrast structures for a singularly perturbed parabolic equation"
  Differential Equations 36, 236-246 (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, 118-130 (2000)