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Oleksandr Burylko
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Year
Weak chimeras in minimal networks of coupled phase oscillators
P Ashwin, O Burylko
Chaos: An Interdisciplinary Journal of Nonlinear Science 25 (1), 2015
1972015
Multistability in the Kuramoto model with synaptic plasticity
YL Maistrenko, B Lysyansky, C Hauptmann, O Burylko, PA Tass
Physical Review E 75 (6), 066207, 2007
1412007
Mechanism of desynchronization in the finite-dimensional Kuramoto model
Y Maistrenko, O Popovych, O Burylko, PA Tass
Physical review letters 93 (8), 084102, 2004
1362004
Bifurcation to heteroclinic cycles and sensitivity in three and four coupled phase oscillators
P Ashwin, O Burylko, Y Maistrenko
Physica D: Nonlinear Phenomena 237 (4), 454-466, 2008
812008
Identical phase oscillator networks: Bifurcations, symmetry and reversibility for generalized coupling
P Ashwin, C Bick, O Burylko
Frontiers in Applied Mathematics and Statistics 2, 7, 2016
532016
Extreme sensitivity to detuning for globally coupled phase oscillators
P Ashwin, O Burylko, Y Maistrenko, O Popovych
Physical review letters 96 (5), 054102, 2006
302006
Bifurcation study of phase oscillator systems with attractive and repulsive interaction
O Burylko, Y Kazanovich, R Borisyuk
Physical Review E 90 (2), 022911, 2014
262014
An interactive channel model of the basal ganglia: bifurcation analysis under healthy and parkinsonian conditions
R Merrison-Hort, N Yousif, F Njap, UG Hofmann, O Burylko, R Borisyuk
The Journal of Mathematical Neuroscience 3, 1-29, 2013
212013
Desynchronization transitions in nonlinearly coupled phase oscillators
O Burylko, A Pikovsky
Physica D: Nonlinear Phenomena 240 (17), 1352-1361, 2011
212011
Bifurcations in phase oscillator networks with a central element
O Burylko, Y Kazanovich, R Borisyuk
Physica D: Nonlinear Phenomena 241 (12), 1072-1089, 2012
192012
Coexistence of Hamiltonian-like and dissipative dynamics in rings of coupled phase oscillators with skew-symmetric coupling
O Burylko, A Mielke, M Wolfrum, S Yanchuk
SIAM J. Appl. Dyn. Syst. 17 (3), 2076–2105, 2018
162018
Competition for synchronization in a phase oscillator system
Y Kazanovich, O Burylko, R Borisyuk
Physica D: Nonlinear Phenomena 261, 114-124, 2013
162013
Winner-take-all in a phase oscillator system with adaptation
O Burylko, Y Kazanovich, R Borisyuk
Scientific Reports 8 (1), 416, 2018
152018
Symmetry breaking yields chimeras in two small populations of Kuramoto-type
O Burylko, E Martens, C Bick
Chaos 32, 093109, 2022
12*2022
Collective dynamics and bifurcations in symmetric networks of phase oscillators. II
O Burylko
Journal of Mathematical Sciences 253 (2), 204–229, 2021
82021
Collective dynamics and bifurcations in symmetric networks of phase oscillators. I
O Burylko
Journal of Mathematical Sciences 249 (4), 573-600, 2020
82020
Competition and bifurcations in phase oscillator networks with positive and negative couplings
O Burylko
NDES 2012; Nonlinear Dynamics of Electronic System, 161-164, 2012
22012
Колективна динаміка та біфуркації у симетричних мережах фазових осциляторів. I
О Бурилко
Нелінійні Коливання 22 (2), 165-195, 2019
12019
Control of bursting activity by modulation of ionic currents
T Malashchenko, W Barnett, O Burylko, G Cymbalyuk
BMC Neuroscience 10, 1-1, 2009
12009
The problem of complementability of a periodic frame to a periodic basis
O Burylko, A Davydenko
Nonlinear Oscillations 4 (4), 458-470, 2001
12001
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Articles 1–20