Бурилко Олександр Андрійович
Публікації
1. O. Burylko, M. Wolfrum, S. Yanchuk, J. Kurths. Time-reversible dynamics in a system of two coupled active rotators. Proceedings of the Royal Society A, 479, 20230401 (2023)
https://doi.org/10.1098/rspa.2023.0401
pdf
2. O. Burylko, E. Martens, and C. Bick. Symmetry breaking yields chimeras in two small populations of kuramoto-type oscillators, Chaos, 32, 093109 (2022)
https://doi.org/10.1063/5.0088465
pdf
3. O. Burylko, Collective dynamics and bifurcations in symmetric networks of phase oscillators. II, Journal of Mathematical Sciences, 253(2), 204-229 (2021)
pdf
4. O. Burylko, Collective dynamics and bifurcations in symmetric networks of phase oscillators. I, Journal of Mathematical Sciences, 249(4), 573-600 (2020)
pdf
5. О. Бурилко, Колективна динаміка та біфуркації у симетричних мережах фазових осциляторів. II, Нелінійні Коливання, 22(3), 312-340 (2019)
pdf
6. О. Бурилко, Колективна динаміка та біфуркації у симетричних мережах фазових осциляторів. I, Нелінійні Коливання, 22(2), 165-195 (2019)
pdf
7. O. Burylko, A. Mielke, M. Wolfrum, and S. Yanchuk, Coexistence of Hamiltonian-like and dissipative dynamics in rings of coupled phase oscillators with skew-symmetric coupling, SIAM J. Appl. Dyn. Syst. 17 (3), 2076–2105 (2018)
https://epubs.siam.org/doi/abs/10.1137/17M1155685
pdf
8. O. Burylko, Y. Kazanovich, and R. Borisyuk, Winner-take-all in a phase oscillator system with adaptation, Scientific Reports, 8, 416 (2018)
https://epubs.siam.org/doi/abs/10.1137/17M1155685
pdf
9. P. Ashwin, C. Bick, and O. Burylko, Identical phase oscillator networks: bifurcations, symmetry and reversibility for generalized coupling, Frontiers in Applied Mathematics and Statistics, 2(7), (2016)
https://doi.org/10.3389/fams.2016.00007
pdf
10. P. Ashwin, and O. Burylko, Weak chimeras in minimal networks of coupled phase oscillators, Chaos, 25, 013106 (2015) pdf
11. O. Burylko, Y. Kazanovich, and R. Borisyuk, Bifurcation study of phase oscillator systems with attractive and repulsive interaction, Phys. Rev. E, 90, 022911 (2014) pdf
12. Y. Kazanovich, O. Burylko, and R. Borisyuk, Competition for Synchronization in a Phase Oscillator System, Physica D, 261, 114-124 (2013) pdf
13. R. Merrison, N. Yousif, F. Njap, U. Hofmann, O. Burylko, and R. Borisyuk, An interactive channel model of the Basal Ganglia: bifurcation analysis under healthy and parkinsonian conditions, The Journal of Mathematical Neuroscience, 3(1): 14, Doi:10.1186/2190-8567-3-14 (2013) pdf
14. O. Burylko, Y. Kazanovich, and R. Borisyuk, Bifurcations in phase oscillator networks with a central element, Physica D, 241, 1072-1089 (2012) pdf
15. O. Burylko, and A. Pikovsky, Desynchronization transitions in nonlinearly coupled phase oscillators, Physica D, 240, 1352-1361 (2011) pdf
16. P.Ashwin, O.Burylko, and Yu.Maistrenko, Bifurcation to heteroclinic cycles and sensitivity in three and four phase coupled oscillators. Physica D, 237, 454-466 (2008) pdf
17. Yu. Maistrenko, B. Lysyansky, C. Hauptmann, O. Burylko, and P.A. Tass, Multistability in the Kuramoto model with synaptic plasticity, Phys. Rev. E, 75, 066207 (2007) pdf
18. P.Ashwin, O.Burylko, Yu.Maistrenko, and O.Popovych, Extreme sensitivity to detuning for globally coupled phase oscillators, Phys. Rev. Lett., 96, 054102 (2006) pdf
19. Yu. Maistrenko, O. Popovych, O. Burylko, and P.A. Tass, Mechanism of Desynchronization in the Finite-Dimensional Kuramoto Model, Phys. Rev. Lett., 93, 084102 (2004) pdf
20. O. Burylko, and A. Davydenko, To the problem of complementability of periodic frame to a periodic basis, Nonlinear Oscillations, 4, 458-470 (2001)
pdf
21. O. Burylko, and A. Davydenko, To the problem of introduction of local coordinates in the neighbourhood of an invariant toroidal set, Nonlinear Oscillations, 4, 171-190 (2001)
22. O. Burylko, Green function of weakly regular systems of linear differential equations, Nonlinear Oscillations, 3, 315-322 (2000).
23. А. М. Самойленко, О. Бурилко, И. Грод. Модули непрерывности производных инвариантных торов линейных расширений динамических систем, Дифференциальные уравнения, 36, 103-113 (2000) pdf
24. A.M. Samoilenko, and O. Burylko, The problem of smoothness of the Green function of the problem about bounded invariant manifold, Ukrainian Mathematical Journal, 51, 570-584 (1998) pdf
25. O. Burylko, Separation of variables in linear extensions of dynamical systems on the torus, Ukrainian Mathematical Journal, 48, 146-150 (1996) pdf
https://doi.org/10.1098/rspa.2023.0401
2. O. Burylko, E. Martens, and C. Bick. Symmetry breaking yields chimeras in two small populations of kuramoto-type oscillators, Chaos, 32, 093109 (2022)
https://doi.org/10.1063/5.0088465
3. O. Burylko, Collective dynamics and bifurcations in symmetric networks of phase oscillators. II, Journal of Mathematical Sciences, 253(2), 204-229 (2021)
4. O. Burylko, Collective dynamics and bifurcations in symmetric networks of phase oscillators. I, Journal of Mathematical Sciences, 249(4), 573-600 (2020)
5. О. Бурилко, Колективна динаміка та біфуркації у симетричних мережах фазових осциляторів. II, Нелінійні Коливання, 22(3), 312-340 (2019)
6. О. Бурилко, Колективна динаміка та біфуркації у симетричних мережах фазових осциляторів. I, Нелінійні Коливання, 22(2), 165-195 (2019)
7. O. Burylko, A. Mielke, M. Wolfrum, and S. Yanchuk, Coexistence of Hamiltonian-like and dissipative dynamics in rings of coupled phase oscillators with skew-symmetric coupling, SIAM J. Appl. Dyn. Syst. 17 (3), 2076–2105 (2018)
https://epubs.siam.org/doi/abs/10.1137/17M1155685
8. O. Burylko, Y. Kazanovich, and R. Borisyuk, Winner-take-all in a phase oscillator system with adaptation, Scientific Reports, 8, 416 (2018)
https://epubs.siam.org/doi/abs/10.1137/17M1155685
9. P. Ashwin, C. Bick, and O. Burylko, Identical phase oscillator networks: bifurcations, symmetry and reversibility for generalized coupling, Frontiers in Applied Mathematics and Statistics, 2(7), (2016)
https://doi.org/10.3389/fams.2016.00007
10. P. Ashwin, and O. Burylko, Weak chimeras in minimal networks of coupled phase oscillators, Chaos, 25, 013106 (2015) pdf
11. O. Burylko, Y. Kazanovich, and R. Borisyuk, Bifurcation study of phase oscillator systems with attractive and repulsive interaction, Phys. Rev. E, 90, 022911 (2014) pdf
12. Y. Kazanovich, O. Burylko, and R. Borisyuk, Competition for Synchronization in a Phase Oscillator System, Physica D, 261, 114-124 (2013) pdf
13. R. Merrison, N. Yousif, F. Njap, U. Hofmann, O. Burylko, and R. Borisyuk, An interactive channel model of the Basal Ganglia: bifurcation analysis under healthy and parkinsonian conditions, The Journal of Mathematical Neuroscience, 3(1): 14, Doi:10.1186/2190-8567-3-14 (2013) pdf
14. O. Burylko, Y. Kazanovich, and R. Borisyuk, Bifurcations in phase oscillator networks with a central element, Physica D, 241, 1072-1089 (2012) pdf
15. O. Burylko, and A. Pikovsky, Desynchronization transitions in nonlinearly coupled phase oscillators, Physica D, 240, 1352-1361 (2011) pdf
16. P.Ashwin, O.Burylko, and Yu.Maistrenko, Bifurcation to heteroclinic cycles and sensitivity in three and four phase coupled oscillators. Physica D, 237, 454-466 (2008) pdf
17. Yu. Maistrenko, B. Lysyansky, C. Hauptmann, O. Burylko, and P.A. Tass, Multistability in the Kuramoto model with synaptic plasticity, Phys. Rev. E, 75, 066207 (2007) pdf
18. P.Ashwin, O.Burylko, Yu.Maistrenko, and O.Popovych, Extreme sensitivity to detuning for globally coupled phase oscillators, Phys. Rev. Lett., 96, 054102 (2006) pdf
19. Yu. Maistrenko, O. Popovych, O. Burylko, and P.A. Tass, Mechanism of Desynchronization in the Finite-Dimensional Kuramoto Model, Phys. Rev. Lett., 93, 084102 (2004) pdf
20. O. Burylko, and A. Davydenko, To the problem of complementability of periodic frame to a periodic basis, Nonlinear Oscillations, 4, 458-470 (2001)
21. O. Burylko, and A. Davydenko, To the problem of introduction of local coordinates in the neighbourhood of an invariant toroidal set, Nonlinear Oscillations, 4, 171-190 (2001)
22. O. Burylko, Green function of weakly regular systems of linear differential equations, Nonlinear Oscillations, 3, 315-322 (2000).
23. А. М. Самойленко, О. Бурилко, И. Грод. Модули непрерывности производных инвариантных торов линейных расширений динамических систем, Дифференциальные уравнения, 36, 103-113 (2000) pdf
24. A.M. Samoilenko, and O. Burylko, The problem of smoothness of the Green function of the problem about bounded invariant manifold, Ukrainian Mathematical Journal, 51, 570-584 (1998) pdf
25. O. Burylko, Separation of variables in linear extensions of dynamical systems on the torus, Ukrainian Mathematical Journal, 48, 146-150 (1996) pdf