Edit Profile (opens in new tab) Omel’chenko, Oleh E. Co-Author Distance Author ID: omelchenko.oleh-e Published as: Omel’chenko, O. E.; Omel’chenko, Oleh E.; Omel’chenko, Oleh; Omelchenko, O. E.; Omel’Chenko, O. more...less Homepage: http://www.stat.physik.uni-potsdam.de/~omelchenko/ External Links: ORCID · Google Scholar · dblp Documents Indexed: 37 Publications since 2000, including 2 Additional arXiv Preprints Reviewing Activity: 47 Reviews Co-Authors: 22 Co-Authors with 27 Joint Publications 749 Co-Co-Authors all top 5 Co-Authors 10 single-authored 10 Wolfrum, Matthias 6 Recke, Lutz 4 Nefedov, Nikolaĭ Nikolaevich 4 Vasil’eva, Adelaida Borisovna 3 Laing, Carlo R. 2 Butuzov, Valentin Fëdorovich 2 Knobloch, Edgar 2 Maistrenko, Yuri L. 2 Sieber, Jan 1 Bataille-Gonzalez, M. 1 Bick, Christian 1 Böhle, Tobias 1 Clerc, Marcel G. 1 Duguet, Yohann 1 Feudel, Ulrike 1 Franović, Igor 1 Gurevich, Svetlana V. 1 Hauptmann, Christian 1 Medeiros, Everton S. 1 Tass, Peter Alexander 1 Willis, Ashley P. 1 Yanchuk, Sergiĭ Volodymyrovych all top 5 Serials 8 Chaos 5 Nonlinearity 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Differential Equations 2 Physica D 2 Doklady Mathematics 2 Differential Equations 1 Biological Cybernetics 1 Journal of Fluid Mechanics 1 Hiroshima Mathematical Journal 1 Asymptotic Analysis 1 Computational Mathematics and Mathematical Physics 1 Journal of Nonlinear Science 1 New Journal of Physics 1 Neliniĭni Kolyvannya 1 Discrete and Continuous Dynamical Systems. Series B 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 21 Ordinary differential equations (34-XX) 15 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral equations (45-XX) 4 Biology and other natural sciences (92-XX) 2 Fluid mechanics (76-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 358 times in 221 Documents Cited by ▼ Year ▼ The mathematics behind Chimera states. Zbl 1395.34045 Omel’chenko, O. E. 66 2018 Spectral properties of Chimera states. Zbl 1345.34067 Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L. 53 2011 Coherence-incoherence patterns in a ring of non-locally coupled phase oscillators. Zbl 1281.34051 Omel’chenko, O. E. 48 2013 Partially coherent twisted states in arrays of coupled phase oscillators. Zbl 1345.34061 Omel’chenko, Oleh E.; Wolfrum, Matthias; Laing, Carlo R. 28 2014 Bifurcations in the Sakaguchi-Kuramoto model. Zbl 1292.34046 Omel’chenko, Oleh E.; Wolfrum, Matthias 19 2013 Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Zbl 1362.35031 Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. 15 2017 Traveling Chimera states. Zbl 1507.35068 Omel’chenko, O. E. 13 2019 Moving bumps in theta neuron networks. Zbl 1437.92006 Laing, Carlo R.; Omel’chenko, Oleh 12 2020 Turbulence in the Ott-Antonsen equation for arrays of coupled phase oscillators. Zbl 1338.34080 Wolfrum, M.; Gurevich, S. V.; Omel’chenko, O. E. 11 2016 Stability of spiral chimera states on a torus. Zbl 1386.37047 Omel’chenko, Oleh E.; Wolfrum, Matthias; Knobloch, Edgar 10 2018 Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations. Zbl 1165.34033 Recke, L.; Omel’chenko, O. E. 9 2008 Phase-sensitive excitability of a limit cycle. Zbl 1396.34028 Franović, Igor; Omel’chenko, Oleh E.; Wolfrum, Matthias 9 2018 Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators. Zbl 1374.34125 Wolfrum, Matthias; Omel’chenko, Oleh E.; Sieber, Jan 9 2015 Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling. Zbl 1431.34048 Omel’chenko, O. E. 8 2020 Boundary layer solutions to singularly perturbed problems via the implicit function theorem. Zbl 1163.34320 Omel’chenko, Oleh; Recke, Lutz 7 2009 Existence, local uniqueness and asymptotic approximation of spike solutions to singularly perturbed elliptic problems. Zbl 1329.35038 Omel’chenko, Oleh; Recke, Lutz 6 2015 Boundary-layer solutions to quasilinear integro-differential equations of the second order. Zbl 1054.47035 Nefedov, N. N.; Omelchenko, O. E. 5 2002 Collective dynamics of globally coupled phase oscillators under multisite delayed feedback stimulation. Zbl 1154.34018 Omel’chenko, O. E.; Hauptmann, C.; Maistrenko, Yu. L.; Tass, P. A. 5 2008 Mathematical framework for breathing Chimera states. Zbl 1489.34059 Omel’chenko, O. E. 5 2022 Surfing the edge: using feedback control to find nonlinear solutions. Zbl 1421.76105 Willis, A. P.; Duguet, Y.; Omel’Chenko, O.; Wolfrum, M. 4 2017 Nonstationary coherence-incoherence patterns in nonlocally coupled heterogeneous phase oscillators. Zbl 1437.34045 Omel’chenko, Oleh E. 4 2020 Boundary layer solutions to singularly perturbed quasilinear systems. Zbl 1507.34063 Butuzov, Valentin; Nefedov, Nikolay; Omel’chenko, Oleh; Recke, Lutz 4 2022 Is there an impact of small phase lags in the Kuramoto model? Zbl 1382.34045 Omel’chenko, Oleh E.; Wolfrum, Matthias 3 2016 Periodic orbits in the Ott-Antonsen manifold. Zbl 1514.34063 Omel’chenko, O. E. 3 2023 Periodic step-like contrast structures for a singularly perturbed parabolic equation. Zbl 0983.35016 Vasil’eva, A. B.; Omel’chenko, O. E. 1 2000 Traveling spiral wave chimeras in coupled oscillator systems: emergence, dynamics, and transitions. Zbl 07869258 Bataille-Gonzalez, M.; Clerc, M. G.; Knobloch, E.; Omel’chenko, O. E. 1 2023 Periodic orbits in the Ott-Antonsen manifold. Zbl 1514.34063 Omel’chenko, O. E. 3 2023 Traveling spiral wave chimeras in coupled oscillator systems: emergence, dynamics, and transitions. Zbl 07869258 Bataille-Gonzalez, M.; Clerc, M. G.; Knobloch, E.; Omel’chenko, O. E. 1 2023 Mathematical framework for breathing Chimera states. Zbl 1489.34059 Omel’chenko, O. E. 5 2022 Boundary layer solutions to singularly perturbed quasilinear systems. Zbl 1507.34063 Butuzov, Valentin; Nefedov, Nikolay; Omel’chenko, Oleh; Recke, Lutz 4 2022 Moving bumps in theta neuron networks. Zbl 1437.92006 Laing, Carlo R.; Omel’chenko, Oleh 12 2020 Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling. Zbl 1431.34048 Omel’chenko, O. E. 8 2020 Nonstationary coherence-incoherence patterns in nonlocally coupled heterogeneous phase oscillators. Zbl 1437.34045 Omel’chenko, Oleh E. 4 2020 Traveling Chimera states. Zbl 1507.35068 Omel’chenko, O. E. 13 2019 The mathematics behind Chimera states. Zbl 1395.34045 Omel’chenko, O. E. 66 2018 Stability of spiral chimera states on a torus. Zbl 1386.37047 Omel’chenko, Oleh E.; Wolfrum, Matthias; Knobloch, Edgar 10 2018 Phase-sensitive excitability of a limit cycle. Zbl 1396.34028 Franović, Igor; Omel’chenko, Oleh E.; Wolfrum, Matthias 9 2018 Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Zbl 1362.35031 Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. 15 2017 Surfing the edge: using feedback control to find nonlinear solutions. Zbl 1421.76105 Willis, A. P.; Duguet, Y.; Omel’Chenko, O.; Wolfrum, M. 4 2017 Turbulence in the Ott-Antonsen equation for arrays of coupled phase oscillators. Zbl 1338.34080 Wolfrum, M.; Gurevich, S. V.; Omel’chenko, O. E. 11 2016 Is there an impact of small phase lags in the Kuramoto model? Zbl 1382.34045 Omel’chenko, Oleh E.; Wolfrum, Matthias 3 2016 Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators. Zbl 1374.34125 Wolfrum, Matthias; Omel’chenko, Oleh E.; Sieber, Jan 9 2015 Existence, local uniqueness and asymptotic approximation of spike solutions to singularly perturbed elliptic problems. Zbl 1329.35038 Omel’chenko, Oleh; Recke, Lutz 6 2015 Partially coherent twisted states in arrays of coupled phase oscillators. Zbl 1345.34061 Omel’chenko, Oleh E.; Wolfrum, Matthias; Laing, Carlo R. 28 2014 Coherence-incoherence patterns in a ring of non-locally coupled phase oscillators. Zbl 1281.34051 Omel’chenko, O. E. 48 2013 Bifurcations in the Sakaguchi-Kuramoto model. Zbl 1292.34046 Omel’chenko, Oleh E.; Wolfrum, Matthias 19 2013 Spectral properties of Chimera states. Zbl 1345.34067 Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L. 53 2011 Boundary layer solutions to singularly perturbed problems via the implicit function theorem. Zbl 1163.34320 Omel’chenko, Oleh; Recke, Lutz 7 2009 Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations. Zbl 1165.34033 Recke, L.; Omel’chenko, O. E. 9 2008 Collective dynamics of globally coupled phase oscillators under multisite delayed feedback stimulation. Zbl 1154.34018 Omel’chenko, O. E.; Hauptmann, C.; Maistrenko, Yu. L.; Tass, P. A. 5 2008 Boundary-layer solutions to quasilinear integro-differential equations of the second order. Zbl 1054.47035 Nefedov, N. N.; Omelchenko, O. E. 5 2002 Periodic step-like contrast structures for a singularly perturbed parabolic equation. Zbl 0983.35016 Vasil’eva, A. B.; Omel’chenko, O. E. 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 355 Authors 17 Omel’chenko, Oleh E. 14 Laing, Carlo R. 11 Bick, Christian 9 Wolfrum, Matthias 8 Recke, Lutz 8 Zakharova, Anna 7 Medvedev, Georgi S. 7 Nefedov, Nikolaĭ Nikolaevich 6 Clerc, Marcel G. 6 Jafari, Sajad 6 Osipov, Grigory V. 6 Pikovsky, Arkady S. 6 Schöll, Eckehard 6 Yanchuk, Sergiĭ Volodymyrovych 5 Anishchenko, Vadim Semenovich 5 Choe, Chol-Ung 5 Kim, Ryong-Son 5 Krischer, Katharina 5 Martens, Erik Andreas 4 Franović, Igor 4 Ghosh, Dibakar 4 Gupta, Shamik 4 Mizuhara, Matthew S. 4 Montaseri, Ghazal 4 Ni, Mingkang 4 Parastesh, Fatemeh 4 Shepelev, Igor’ Aleksandrovich 4 Smirnov, Lev A. 4 Strelkova, Galina Ivanova 4 Xu, Can 4 Yazdanpanah, Mohammad Javad 3 Andrzejak, Ralph G. 3 Ashwin, Peter 3 Batista, Carlos A. S. 3 Berner, Rico 3 Bolotov, Maxim I. 3 Burylko, Oleksandr 3 Butuzov, Valentin Fëdorovich 3 Chandrasekar, V. K. 3 Chiba, Hayato 3 Duguet, Yohann 3 Eydam, Sebastian 3 Ferré, Michel A. 3 Goldobin, Denis S. 3 Jalan, Sarika 3 Kmit, Irina 3 Kurths, Jürgen 3 Maistrenko, Yuri L. 3 Nikulin, E. I. 3 Ruzzene, Giulia 3 Rybalova, Elena V. 3 Semenova, Nadezhda Igorevna 3 Sourdis, Christos 3 Viana, Ricardo Luiz 3 Yang, Qian 3 Zheng, Zhigang 2 Adhami-Mirhosseini, Aras 2 Alvarez-Socorro, Alejandro J. 2 Bačić, Iva 2 Belykh, Igor V. 2 Belykh, Vladimir Nikolaevich 2 Coulibaly, Saliya 2 DeVille, Lee 2 D’Huys, Otti 2 Dietert, Helge 2 Ding, Yujie 2 Ermentrout, Bard G. 2 Faghani, Zahra 2 Fernandez, Bastien 2 Gottwald, Georg A. 2 Grines, Evgeny A. 2 Gupte, Neelima 2 Herrmann, Michael 2 Kapitaniak, Tomasz 2 Kashchenko, Sergeĭ Aleksandrovich 2 Knobloch, Edgar 2 Kühn, Christian 2 Maistrenko, Volodymyr L. 2 Malvestio, Irene 2 Matthies, Karsten 2 Muni, Sishu Shankar 2 Nag Chowdhury, Sayantan 2 Omelchenko, Iryna 2 Panaggio, Mark J. 2 Perc, Matjaž 2 Pietras, Bastian 2 Provata, Astero 2 Rosenblum, Michael G. 2 Ryashko, Lev Borisovich 2 Senthilkumar, Dharmapuri Vijayan 2 Singha, Joydeep 2 Sudakov, Oleksandr 2 Tang, Xuezhi 2 Vadivasova, Tatiana E. 1 A. V., Bukh 1 Abu Omar, Mohammed 1 Abud, C. V. 1 Afraimovich, Valentin S. 1 An, Yong-Hyok 1 Anesiadis, K. ...and 255 more Authors all top 5 Cited in 52 Serials 80 Chaos 9 Communications in Nonlinear Science and Numerical Simulation 9 SIAM Journal on Applied Dynamical Systems 8 Chaos, Solitons and Fractals 8 Journal of Nonlinear Science 8 Journal of Physics A: Mathematical and Theoretical 7 Nonlinearity 7 Physica D 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Journal of Fluid Mechanics 4 Journal of Statistical Physics 4 Journal of Differential Equations 3 Biological Cybernetics 3 Physica A 3 Physics Reports 3 Computational Mathematics and Mathematical Physics 3 SIAM Review 3 Nonlinear Dynamics 3 Regular and Chaotic Dynamics 3 Differential Equations 2 Mathematical Notes 2 Physics Letters. A 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 New Journal of Physics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Applied Analysis and Computation 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Neural Networks 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 Doklady Mathematics 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Networks and Heterogeneous Media 1 Chinese Journal of Physics (Taipei) 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Biomathematics 1 Science China. Mathematics 1 The Journal of Mathematical Neuroscience 1 Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bollettino dell’Unione Matematica Italiana 1 SN Partial Differential Equations and Applications all top 5 Cited in 30 Fields 152 Ordinary differential equations (34-XX) 54 Dynamical systems and ergodic theory (37-XX) 44 Biology and other natural sciences (92-XX) 36 Partial differential equations (35-XX) 22 Statistical mechanics, structure of matter (82-XX) 11 Integral equations (45-XX) 7 Operator theory (47-XX) 6 Numerical analysis (65-XX) 6 Mechanics of particles and systems (70-XX) 6 Fluid mechanics (76-XX) 6 Systems theory; control (93-XX) 5 Quantum theory (81-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Optics, electromagnetic theory (78-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year