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: 32 Publications since 2000 Reviewing Activity: 47 Reviews Co-Authors: 16 Co-Authors with 22 Joint Publications 530 Co-Co-Authors all top 5 Co-Authors 10 single-authored 9 Wolfrum, Matthias 6 Recke, Lutz 4 Nefedov, Nikolaĭ Nikolaevich 4 Vasil’eva, Adelaida Borisovna 2 Butuzov, Valentin Fëdorovich 2 Laing, Carlo R. 2 Maistrenko, Yuri L. 1 Duguet, Yohann 1 Franović, Igor 1 Gurevich, Svetlana V. 1 Hauptmann, Christian 1 Knobloch, Edgar 1 Sieber, Jan 1 Tass, Peter Alexander 1 Willis, Ashley P. 1 Yanchuk, Sergiĭ Volodymyrovych all top 5 Serials 7 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 Journal of Fluid Mechanics 1 Hiroshima Mathematical Journal 1 Asymptotic Analysis 1 Computational Mathematics and Mathematical Physics 1 Journal of Nonlinear Science 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 20 Ordinary differential equations (34-XX) 14 Partial differential equations (35-XX) 4 Integral equations (45-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 224 times in 151 Documents Cited by ▼ Year ▼ Spectral properties of Chimera states. Zbl 1345.34067Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L. 44 2011 The mathematics behind Chimera states. Zbl 1395.34045Omel’chenko, O. E. 35 2018 Coherence-incoherence patterns in a ring of non-locally coupled phase oscillators. Zbl 1281.34051Omel’chenko, O. E. 34 2013 Partially coherent twisted states in arrays of coupled phase oscillators. Zbl 1345.34061Omel’chenko, Oleh E.; Wolfrum, Matthias; Laing, Carlo R. 19 2014 Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Zbl 1362.35031Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. 12 2017 Bifurcations in the Sakaguchi-Kuramoto model. Zbl 1292.34046Omel’chenko, Oleh E.; Wolfrum, Matthias 11 2013 Stability of spiral chimera states on a torus. Zbl 1386.37047Omel’chenko, Oleh E.; Wolfrum, Matthias; Knobloch, Edgar 9 2018 Turbulence in the Ott-Antonsen equation for arrays of coupled phase oscillators. Zbl 1338.34080Wolfrum, M.; Gurevich, S. V.; Omel’chenko, O. E. 8 2016 Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations. Zbl 1165.34033Recke, L.; Omel’chenko, O. E. 8 2008 Boundary layer solutions to singularly perturbed problems via the implicit function theorem. Zbl 1163.34320Omel’chenko, Oleh; Recke, Lutz 6 2009 Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators. Zbl 1374.34125Wolfrum, Matthias; Omel’chenko, Oleh E.; Sieber, Jan 6 2015 Traveling Chimera states. Zbl 1507.35068Omel’chenko, O. E. 6 2019 Collective dynamics of globally coupled phase oscillators under multisite delayed feedback stimulation. Zbl 1154.34018Omel’chenko, O. E.; Hauptmann, C.; Maistrenko, Yu. L.; Tass, P. A. 5 2008 Existence, local uniqueness and asymptotic approximation of spike solutions to singularly perturbed elliptic problems. Zbl 1329.35038Omel’chenko, Oleh; Recke, Lutz 4 2015 Phase-sensitive excitability of a limit cycle. Zbl 1396.34028Franović, Igor; Omel’chenko, Oleh E.; Wolfrum, Matthias 4 2018 Boundary-layer solutions to quasilinear integro-differential equations of the second order. Zbl 1054.47035Nefedov, N. N.; Omelchenko, O. E. 3 2002 Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling. Zbl 1431.34048Omel’chenko, O. E. 3 2020 Surfing the edge: using feedback control to find nonlinear solutions. Zbl 1421.76105Willis, A. P.; Duguet, Y.; Omel’Chenko, O.; Wolfrum, M. 3 2017 Periodic step-like contrast structures for a singularly perturbed parabolic equation. Zbl 0983.35016Vasil’eva, A. B.; Omel’chenko, O. E. 1 2000 Is there an impact of small phase lags in the Kuramoto model? Zbl 1382.34045Omel’chenko, Oleh E.; Wolfrum, Matthias 1 2016 Nonstationary coherence-incoherence patterns in nonlocally coupled heterogeneous phase oscillators. Zbl 1437.34045Omel’chenko, Oleh E. 1 2020 Moving bumps in theta neuron networks. Zbl 1437.92006Laing, Carlo R.; Omel’chenko, Oleh 1 2020 Travelling chimera states in systems of phase oscillators with asymmetric nonlocal coupling. Zbl 1431.34048Omel’chenko, O. E. 3 2020 Nonstationary coherence-incoherence patterns in nonlocally coupled heterogeneous phase oscillators. Zbl 1437.34045Omel’chenko, Oleh E. 1 2020 Moving bumps in theta neuron networks. Zbl 1437.92006Laing, Carlo R.; Omel’chenko, Oleh 1 2020 Traveling Chimera states. Zbl 1507.35068Omel’chenko, O. E. 6 2019 The mathematics behind Chimera states. Zbl 1395.34045Omel’chenko, O. E. 35 2018 Stability of spiral chimera states on a torus. Zbl 1386.37047Omel’chenko, Oleh E.; Wolfrum, Matthias; Knobloch, Edgar 9 2018 Phase-sensitive excitability of a limit cycle. Zbl 1396.34028Franović, Igor; Omel’chenko, Oleh E.; Wolfrum, Matthias 4 2018 Time-periodic boundary layer solutions to singularly perturbed parabolic problems. Zbl 1362.35031Omel’chenko, O. E.; Recke, L.; Butuzov, V. F.; Nefedov, N. N. 12 2017 Surfing the edge: using feedback control to find nonlinear solutions. Zbl 1421.76105Willis, A. P.; Duguet, Y.; Omel’Chenko, O.; Wolfrum, M. 3 2017 Turbulence in the Ott-Antonsen equation for arrays of coupled phase oscillators. Zbl 1338.34080Wolfrum, M.; Gurevich, S. V.; Omel’chenko, O. E. 8 2016 Is there an impact of small phase lags in the Kuramoto model? Zbl 1382.34045Omel’chenko, Oleh E.; Wolfrum, Matthias 1 2016 Regular and irregular patterns of self-localized excitation in arrays of coupled phase oscillators. Zbl 1374.34125Wolfrum, Matthias; Omel’chenko, Oleh E.; Sieber, Jan 6 2015 Existence, local uniqueness and asymptotic approximation of spike solutions to singularly perturbed elliptic problems. Zbl 1329.35038Omel’chenko, Oleh; Recke, Lutz 4 2015 Partially coherent twisted states in arrays of coupled phase oscillators. Zbl 1345.34061Omel’chenko, Oleh E.; Wolfrum, Matthias; Laing, Carlo R. 19 2014 Coherence-incoherence patterns in a ring of non-locally coupled phase oscillators. Zbl 1281.34051Omel’chenko, O. E. 34 2013 Bifurcations in the Sakaguchi-Kuramoto model. Zbl 1292.34046Omel’chenko, Oleh E.; Wolfrum, Matthias 11 2013 Spectral properties of Chimera states. Zbl 1345.34067Wolfrum, M.; Omel’chenko, O. E.; Yanchuk, S.; Maistrenko, Y. L. 44 2011 Boundary layer solutions to singularly perturbed problems via the implicit function theorem. Zbl 1163.34320Omel’chenko, Oleh; Recke, Lutz 6 2009 Boundary layer solutions to problems with infinite-dimensional singular and regular perturbations. Zbl 1165.34033Recke, L.; Omel’chenko, O. E. 8 2008 Collective dynamics of globally coupled phase oscillators under multisite delayed feedback stimulation. Zbl 1154.34018Omel’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 1054.47035Nefedov, N. N.; Omelchenko, O. E. 3 2002 Periodic step-like contrast structures for a singularly perturbed parabolic equation. Zbl 0983.35016Vasil’eva, A. B.; Omel’chenko, O. E. 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 247 Authors 13 Omel’chenko, Oleh E. 10 Bick, Christian 9 Laing, Carlo R. 9 Wolfrum, Matthias 7 Recke, Lutz 6 Medvedev, Georgi S. 6 Nefedov, Nikolaĭ Nikolaevich 6 Yanchuk, Sergiĭ Volodymyrovych 6 Zakharova, Anna 5 Clerc, Marcel G. 5 Pikovsky, Arkady S. 5 Schöll, Eckehard 4 Anishchenko, Vadim Semenovich 4 Choe, Chol-Ung 4 Jafari, Sajad 4 Kim, Ryong-Son 4 Martens, Erik Andreas 4 Montaseri, Ghazal 4 Osipov, Grigory V. 4 Smirnov, Lev A. 4 Yazdanpanah, Mohammad Javad 3 Andrzejak, Ralph G. 3 Ashwin, Peter 3 Bolotov, Maxim I. 3 Butuzov, Valentin Fëdorovich 3 Chiba, Hayato 3 Duguet, Yohann 3 Ferré, Michel A. 3 Kmit, Irina 3 Kurths, Jürgen 3 Maistrenko, Yuri L. 3 Nikulin, E. I. 3 Parastesh, Fatemeh 3 Ruzzene, Giulia 3 Sourdis, Christos 2 Adhami-Mirhosseini, Aras 2 Alvarez-Socorro, Alejandro J. 2 Bačić, Iva 2 Batista, Carlos A. S. 2 Berner, Rico 2 Burylko, Oleksandr 2 Coulibaly, Saliya 2 DeVille, Lee 2 D’Huys, Otti 2 Ding, Yujie 2 Ermentrout, Bard G. 2 Franović, Igor 2 Ghosh, Dibakar 2 Goldobin, Denis S. 2 Gupte, Neelima 2 Herrmann, Michael 2 Jalan, Sarika 2 Kapitaniak, Tomasz 2 Kühn, Christian 2 Maistrenko, Volodymyr L. 2 Malvestio, Irene 2 Matthies, Karsten 2 Mizuhara, Matthew S. 2 Nag Chowdhury, Sayantan 2 Ni, Mingkang 2 Omelchenko, Iryna 2 Panaggio, Mark J. 2 Perc, Matjaž 2 Ryashko, Lev Borisovich 2 Rybalova, Elena V. 2 Semenova, Nadezhda Igorevna 2 Shepelev, Igor’ Aleksandrovich 2 Singha, Joydeep 2 Strelkova, Galina Ivanova 2 Sudakov, Oleksandr 2 Tang, Xuezhi 2 Viana, Ricardo Luiz 2 Xu, Can 1 A. V., Bukh 1 Afraimovich, Valentin S. 1 Arab, Zahra 1 Azarnoush, Hamed 1 Bahrami, Fariba 1 Bashkirtseva, Irina Adol’fovna 1 Beims, Marcus W. 1 Belykh, Igor V. 1 Belykh, Vladimir Nikitich 1 Bobodzhanov, Abdukhafiz Abdurasulovich 1 Boccaletti, Stefano 1 Bódai, Tamás 1 Bogomolov, Sergey A. 1 Böhle, Tobias 1 Bolotov, Dmitriĭ Valer’evich 1 Brister, Barrett N. 1 Bronski, Jared C. 1 Cabanas, Ana M. 1 Cai, Zongkai 1 Çakır, Musa 1 Carty, Thomas E. 1 Chaillet, Antoine 1 Chandrasekar, V. K. 1 Chartrand, Thomas 1 Choe, Seon 1 Cimen, Erkan 1 Crnkić, Aladin ...and 147 more Authors all top 5 Cited in 45 Serials 42 Chaos 9 SIAM Journal on Applied Dynamical Systems 7 Chaos, Solitons and Fractals 7 Journal of Nonlinear Science 7 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinearity 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Physica D 4 Journal of Fluid Mechanics 4 Journal of Statistical Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Physics Reports 3 Journal of Differential Equations 3 Nonlinear Dynamics 2 Biological Cybernetics 2 Mathematical Notes 2 Physica A 2 Physics Letters. A 2 Computational Mathematics and Mathematical Physics 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Regular and Chaotic Dynamics 2 Differential Equations 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Systems & Control Letters 1 Neural Networks 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 Calculus of Variations and Partial Differential Equations 1 Russian Journal of Mathematical Physics 1 New Journal of Physics 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Networks and Heterogeneous Media 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Biomathematics 1 Science China. Mathematics 1 The Journal of Mathematical Neuroscience 1 Journal of Applied Analysis and Computation 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 27 Fields 99 Ordinary differential equations (34-XX) 31 Dynamical systems and ergodic theory (37-XX) 27 Partial differential equations (35-XX) 27 Biology and other natural sciences (92-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Integral equations (45-XX) 6 Operator theory (47-XX) 6 Systems theory; control (93-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 3 Combinatorics (05-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year