Dr. Oleksandr PopovychDr. Oleksandr Popovych
Post-Doc in MEG and Deep Brain Stimulation Lab

Institute of Neuroscience and Medicine
(INM-7, Neuromodulation)
Research Center Juelich
52425 Juelich

  +49-2461-61-6582
  +49-2461-61-1880
 o.popovych@fz-juelich.de



Research Interests and Projects
  • Modelling of deep brain stimulation and development of novel stimulation techniques
  • Analysis and control of collective dynamics in complex oscillatory networks
  • Synchronization of chaotic systems, clustering and pattern formation in high-dimensional systems and its application. Ensembles of coupled oscillators. Systems with time delay
  • Analytical and numerical methods at the investigations of nonlinear difference and differential equations. Bifurcations of regular and chaotic attractors in smooth and piecewise-linear dynamical systems
Scientific Curriculum
  • Post-Doc position, Institute of Medicine, Research Center Juelich (Germany), MEG group (Prof P.A. Tass) (since01/2003)
  • Research fellowship of the Alexander von Humboldt Foundation, Potsdam University (Germany), Group of Statistical Physics and Theory of Chaos (Prof. A. Pikovsky)
  • Scientific researcher of the research group "Investigations of mechanisms of bifurcations and chaos in 2D-maps", Institute of Mathematics National Academy of Sciences of Ukraine (Dr. Yu. Maistrenko) (1999-2000)
  • Academic degree of candidate of science in physics and mathematics (Ph.D.), Institute of Mathematics National Academy of Science of Ukraine (1999)
  • Guest researcher of several occasions at the Department of Physics, Technical University of Denmark (Prof E. Mosekilde) (1998-2000)
  • Scholarship of Swiss Federal Science Foundation, Swiss Federal Institute of Technology in Lausanne (EPFL, Schweiz), Laboratory of Nonlinear Systems (LANOS, Prof M. Hasler) (1997-1998)
  • Post-graduate student, Institute of Mathematics National Academy of Sciences of Ukraine. Scientific advisers: Dr. Yu Maistrenko and Prof. A. Samoilenko (1994-1998)
  • Student of mechanics-mathematics faculty, Kiev Taras Shevchenko University, Diploma in mathematics (master's degree, with excellence) (1987-1994)
Grants and Awards
  • Prize of the Competence Network NeuroNRW and NRW Academy of Sciences (Germany) "The best Neuro publication 2005" (2005)
  • Research Fellowship of the Volkswagen Foundation (Germany) (2002)
  • Research Fellowship of the Alexander von Humboldt Foundation (Germany) (2001-2002)
  • Prize for young scientists of the year 1999 of Kiev Mathematical Society and International Mathematical Union (1999) (Kiev, Ukraine)
  • Scholarship of Swiss Federal Science Foundation (Switzerland), Commission on Fellowships (1997-1998)
Professional Memberships

Peer reviewer of the following Journals
  • Physical Review Letters
  • Physical Review E
  • Physics Letters A
  • Physica D
  • Chaos
  • IEEE Transactions on Circuits and Systems II
Teaching
  • Responsible for organization of seminars in the MEG and Deep Brain Stimulation Lab, INB-3 (Medicine), Research Center Juelich, 2003-2007
  • Co-supervision of Ph.D. theses in the MEG and Deep Brain Stimulation Lab, INB-3 (Medicine), Research Center Juelich, 2003-2006
  • Calculus; Kiev University of Economics and Transport (Ukraine) (1997)
Publications


Author of 38 scientific papers (31 in refereed journals and 7 in conference proceedings) and 42 communications to scientific meetings (16 invited talks and lectures)

Hauptmann,C.; Popovych, O.; Tass, P.A.: Demand-controlled desynchronization of oscillatory networks by means of a multisite delayed feedback stimulation, Computing and Visualization in Science, DOI 10.1007/s00791-006-0034-9 (2007)

Popovych, O.V.; Hauptmann, C.; Tass, P.A.: Desynchronization and Decoupling of Interacting Oscillators by Nonlinear Delayed Feedback, Int. J. Bif. Chaos, 16(7), 1977-1987, 2006

Tass, P.A.; Hauptmann, C.; Popovych, O.V.: Development of Therapeutic Brain Stimulation Techniques with Methods from Nonlinear Dynamics and Statistical Physics, Int. J. Bif. Chaos, 16(7), 1889-1911, 2006

Krachkovskyi, V.; Popovych, O.V.; Tass, P.A.: Stimulus-locked responses of two phase oscillators coupled with delayed feedback, Phys. Rev. E, 73,066220, 2006

Popovych, O.V.; Hauptmann, C.; Tass, P.A.: Control of neuronal synchrony by nonlinear delayed feedback, Biol. Cybern., 95, 69-85, 2006

Ashwin, P.; Burylko, O.; Maistrenko, Y.; Popovych, O.: Extreme sensitivity to detuning for globally coupled phase oscillators, Phys. Rev. Lett., 96, 054102, 2006

Maistrenko, Y.L.; Popovych, O.V.; Tass, P.A.: Chaotic Attractor in the Kuramoto Model, Int. J. Bif. Chaos, 15 (11), 3457-3466, 2005

Popovych, O.V; Hauptmann, C.; Tass, P.A.: Demand-Controlled Desynchronization of Brain Rhythms by Means of Nonlinear Delayed Feedback, Proceedings of the 2005 IEEE Engineering in Medicine and Biology, 27th Annual Conference Shanghai, China, September 1-4,2005, pp. 7656-7659

Hauptmann, C.; Popovych, O.; Tass, P.A.: Effectively desynchronizing deep brain stimulation based on a coordinated delayed feedback stimulation via several sites: a computational study, Biol. Cybern., 93, 463-470, 2005

Hauptmann, C.; Popovych, O; Tass, P.A.: Multi-Site Coordinated Delayed Feedback for an Effective Desynchronization of Neuronal Networks, Stochastics and Dynamics, 5(2), 307-319, 2005

Popovych, O.V.; Maistrenko, Y.L.; Tass, P.A.: Phase Chaos in Coupled Oscillators, Phys. Rev. E, 71, 065201(R), 2005

Hauptmann, C.; Popovych, O.; Tass, P.A.: Delayed Feedback Control of Synchronization in Locally Coupled Neuronal Networks, Neurocomputing, 65-66, 759-767, 2005

Popovych, O.V.; Hauptmann, C.; Tass, P.A.: Effective Desynchronization by Nonlinear Delayed Feedback, Phys. Rev. Lett., 94, 164102, 2005

Maistrenko, Y.L.; Popovych, O.V.; Tass, P.A.: Desynchronization and Chaos in the Kuramoto Model, in: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems, Chazottes, J.-R. and Fernandez, B. (Eds.), Lecture Notes in Physics, Vol. 671, Springer, Berlin 2005, pp. 285-306

Maistrenko, Y.; Popovych, O.; Burylko, O.; Tass, P.A.: Mechanism of Desynchronization in the Finite-Dimensional Kuramoto Model, Phys. Rev. Lett. 93, 084102, 2004

Maistrenko, Y.L.; Popovych, O.; Yanchuk, S.: Synchronization and Clustering in Ensembles of Coupled Chaotic Oscillators, in: Synchronization: Theory and Application, Pikovsky A. and Maistrenko, Y.L.;(Eds.), Series II: Mathematics. Physics and Chemistry - Vol. 109, Kluwer Academic Publishers 2003, pp. 101-138

Popovych, O.; Krachkovskyi, V.; Tass, P.A.: Desynchronization Transitions in Coupled Phase Oscillator Systems with Delay, Proceedings of the 11th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems (NDES'2003), Scoul, Switzerland, May 18--23, 2003, pp. 197-200

Pikovsky, A.; Popovych, O.: Persistent Patterns in Deterministic Mixing Flows, Europhys. Lett. 61, 625-631, 2003

Popovych, O.; Maistrenko, Y.L.; Mosekilde, E.: Role of Asymmetric Clusters in Desynchronization of Coherent Motion. Physics Letters A 302,171-181,2002

Popovych, O.; Maistrenko, Y.L.; Pikovsky, A.: Cluster Adding via Transverse Period Doubling, Proceedings of the 10th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems (NDES'2002), Izmir, Turkey, June 21-23, 2002, pp. 4:25-4:28

Popovych, O.; Pikovsky, A.; Maistrenko, Y.L.: Cluster-Splitting Bifurcation in a System of Coupled Maps. Physica D 168-169, 106-125, 2002

Popovych, O.; Maistrenko, Y.L.; Mosekilde, E.: Cluster Formation and Cluster Splitting in a System of Globally Coupled Maps, in: Emergent Nature, M.M. Novak (Ed.), World Scientific 2002, 325-334

Popovych, O.; Maistrenko, Y.L.; Mosekilde, E.: Loss of Coherence in a System of Globally Coupled Maps. Phys. Rev. E 64, 026205, 2001

Pikovsky, A.; Popovych, O.; Maistrenko, Y.L.: Resolving Clusters in Chaotic Ensembles in Globally Coupled Identical Oscillators. Phys. Rev. Lett. 87, 044102, 2001

Popovych, O.; Maistrenko, Y.L.; Mosekilde, E.; Pikovsky, A..; Kurths, J.: Transcritical Riddling in a System of Coupled Maps. Phys. Rev. E 63, 036201, 2001

Popovych, O.; Maistrenko, Y.L.; Mosekilde, E.; Pikovsky, A.: and J. Kurths, Transcritical Loss of Synchronization in Coupled Chaotic Systems. Phys. Lett. A 275, 401-406, 2000

Maistrenko, Y.L.; Popovych, O.; Hasler, M.: On Strong and Weak Chaotic Partial Synchronization. Int. J. Bif. Chaos 10, 179-203, 2000

Hasler, M.; Popovych, O.; .Maistrenko, Y.: Different Synchronization Regimes in a System of Three Coupled 1-D Maps, European Control Conference (ECC'99), CD-ROM paper F1063-3, Karlsruhe, Germany, September 1999

Maistrenko, Y.L.; Maistrenko, V.; Popovych, O.; Mosekilde, E.: Unfolding of the Riddling Bifurcation. Phys. Lett. A 262, 355-360, 1999

Maistrenko, Y.L.; Maistrenko, V.; Popovych, O.; Mosekilde, E.: Desynchronization of Chaos in Coupled Logistic Maps. Phys. Rev. E 60, 2817-2830, 1999

Popovych, O.; Maistrenko, Y.L.; Hasler, M.: Partial Chaotic Synchronization in a System of Three Symmetrically Coupled Maps, Proceedings of the 7th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems (NDES'99), Rone (Bornholm), Denmark, July 15-17, 1999, 253-256

Hasler, M.; Maistrenko, Y.L.; Popovych, O.: Simple Example of Partial Synchronization of Chaotic Systems. Phys. Rev. E 58, 6843-6846, 1998

Maistrenko, Y.L.; Popovych, O.: Necessary Conditions for Chaotic Partial Synchronization, In: Nonlinear Boundary Problems of Mathematical Physics and Their Applications, Eds. A.M. Samoilenko and A.A. Beresovskyi (Kiev: Institute of Mathematics Press), 1998, 144-147

Hasler, M.; Maistrenko, Y.L.; Popovych, O.: Partial Synchronization in Coupled Map Systems, Proceedings of the International Symposium on Nonlinear Theory and its Applications (NOLTA'98), Crans-Montana, Switzerland, September 14-17, 1998, 327-330

Hasler, M.; Maistrenko, Y.L.; Popovych, O.: An Example of Partial Synchronization, Proceedings of the 6th International Specialist Workshop on Nonlinear Dynamics of Electronic Systems (NDES'98), Budapest, Hungary, 16-18 July, 1998, 241-244.

Maistrenko, Y.L.; Maistrenko, V.; Popovich., A.V.; Mosekilde, E.: Transverse Instability and Riddled Basins on a System of Two Coupled Logistic Maps. Phys. Rev. E 57, 2713-2724, 1998

Maistrenko, Y.L.; Maistrenko, V.L.; Popovich., A.V.; Mosekilde, E.: Role of the Absorbing Area in Chaotic Synchronization. Phys. Rev. Lett. 80, 1638-1641, 1998

Maistrenko, Y.L.;.Popovich, A.V.: Existence and Stability of Periodic Solutions of Coupled Map Lattices, Ukr. Math. J. 49, 943-950, 1997
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