Suche

zur Hauptseite

Institut für Neurowissenschaften und Medizin
(leer)

Navigation und Service


Publikationen



Artikel in referierten Journalen



Yu.L.Maistrenko and A.V.Popovich, Existence and Stability of Periodic Solutions of Coupled Map Lattices. Ukr. Math. J., Vol. 49, No. 7, 943-950 (1997).


Yu.L. Maistrenko, V.L. Maistrenko, A. Popovich, and E. Mosekilde, Role of the Absorbing Area in Chaotic Synchronization, Phys. Rev. Lett., Vol. 80, No. 8, 1638-1641 (1998).


Yu. Maistrenko, V. Maistrenko, A. Popovich, and E. Mosekilde, Transverse Instability and Riddled Basins in a System of Two Coupled Logistic Maps, Phys. Rev. E, Vol. 57, No. 3, 2713-2724 (1998).


M. Hasler, Yu. Maistrenko, and O. Popovych, Simple Example of Partial Synchronization of Chaotic Systems, Phys. Rev. E, Vol. 58, No. 5, 6843-6846 (1998).


Yu. Maistrenko, V. Maistrenko, O. Popovych, and E. Mosekilde, Desynchronization of Chaos in Coupled Logistic Maps, Phys. Rev. E, Vol. 60, No 3 (1999), 2817-2830.


Yu. Maistrenko, V.Maistrenko, O. Popovych, and E.Mosekilde, Unfolding of the Riddling Bifurcation, Phys. Lett. A, Vol. 262, No. 4–5 (1999), 355-360.


Yu. Maistrenko, O. Popovych, and M. Hasler, On Strong and Weak Chaotic Partial Synchronization, Int. J. Bif. Chaos, Vol. 10, No. 1 (2000), 179–203.


O. Popovych, Yu. Maistrenko, E. Mosekilde, A. Pikovsky, and J. Kurths, Transcritical Loss of Synchronization in Coupled Chaotic Systems, Phys. Lett. A, Vol. 275, No. 5–6 (2000), 401-406.


O. Popovych, Yu. Maistrenko, E. Mosekilde, A. Pikovsky, and J. Kurths, Transcritical Riddling in a System of Coupled Maps, Phys. Rev. E, Vol. 63, 036201 (2001), 15 pages.


A. Pikovsky, O. Popovych, and Yu. Maistrenko, Resolving Clusters in Chaotic Ensembles in Globally Coupled Identical Oscillators, Phys. Rev. Lett., Vol. 87, 044102 (2001), 4 pages.


O. Popovych, Yu. Maistrenko, and E. Mosekilde, Loss of Coherence in a System of Globally Coupled Maps, Phys. Rev. E, Vol. 64, 026205 (2001), 11 pages.


O. Popovych, A. Pikovsky, and Yu. Maistrenko, Cluster-Splitting Bifurcation in a System of Coupled Maps, Physica D, Vol. 168-169 (C) (2002), 106-125.


O. Popovych, Yu. Maistrenko, and E. Mosekilde, Role of Asymmetric Clusters in Desynchronization of Coherent Motion, Physics Letters A 302(4) (2002), 171-181.


A. Pikovsky and O. Popovych, Persistent Patterns in Deterministic Mixing Flows, Europhysics Letters, Vol. 61, No. 5 (2003), 625–631.


Yu. Maistrenko, O. Popovych, O. Burylko, and P.A. Tass, Mechanism of Desynchronization in the Finite-Dimensional Kuramoto Model, Phys. Rev. Lett. Vol. 93, 084102 (2004), 4 pages


O.V. Popovych, C. Hauptmann, and P.A. Tass, Effective Desynchronization by Nonlinear Delayed Feedback, Phys. Rev. Lett., Vol. 94, 164102 (2005), 4 pages. 1


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


O.V. Popovych, Y.L. Maistrenko, and P.A. Tass, Phase Chaos in Coupled Oscillators, Phys. Rev. E, Vol. 71, 065201(R) (2005), 4 pages.


C. Hauptmann, O. Popovych, and P.A. Tass, Multi-Site Coordinated Delayed Feedback for an Effective Desynchronization of Neuronal Networks, Stochastics and Dynamics, Vol. 5, No. 2, 307-319 (2005).


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


Y.L. Maistrenko, O.V. Popovych, and P.A. Tass, Chaotic Attractor in the Kuramoto Model, Int. J. Bif. Chaos, Vol. 15, No. 11, 3457-3466 (2005).


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


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


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


O.V. Popovych, C. Hauptmann, and P.A. Tass, Desynchronization and Decoupling of Interacting Oscillators by Nonlinear Delayed Feedback, Int. J. Bif. Chaos , Vol. 16, No. 7, 1977-1987 (2006).


O.V. Popovych, A. Pikovsky, and B. Eckhardt, Abnormal mixing of passive scalars in chaotic flows, Phys. Rev. E, Vol. 75, 036308 (2007).


C. Hauptmann, O. Popovych, and P.A. Tass, Demand-controlled desynchronization of oscillatory networks by means of a multisite delayed feedback stimulation, Computing and Visualization in Science, Vol. 10, 71-78 (2007).


O.V. Popovych, V. Krachkovskyi, and P.A. Tass, Twofold impact of delayed feedback on coupled oscillators, Int. J. Bifurcation Chaos, Vol. 17, No. 7 2517–2530 (2007).


C. Hauptmann, O. Popovych, and P.A. Tass, Desynchronizing the abnormally synchronized neural activity in the subthalamic nucleus – a modeling study, Expert Review of Medical Devices, Vol. 4(5), 633-650 (2007).


K. Pyragas, O.V. Popovych, and P.A. Tass, Controlling Synchrony in Oscillatory Networks with a Separate Stimulation-Registration Setup, Europhys. Lett., Vol. 80, 40002 (2007).


C. Hauptmann, O. Omelchenko, O.V. Popovych, Y. Maistrenko, and P. A. Tass, Control of spatially patterned synchrony with multisite delayed feedback, Phys. Rev. E, Vol. 76, 066209 (2007). 2


O.V. Popovych, C. Hauptmann, and P.A. Tass, Impact of nonlinear delayed feedback on synchronized oscillators, J. Biol. Phys., Vol. 34, 367-379 (2008).


U.B. Barnikol, O.V. Popovych, C. Hauptmann, V. Sturm, H.-J. Freund, and P.A. Tass, Tremor entrainment by patterned low-frequency stimulation, Phil. Trans. R. Soc. A, Vol. 366, 3545-3573 (2008).


O.V. Popovych and P.A. Tass, Synchronization control of interacting oscillatory ensembles by mixed nonlinear delayed feedback, Phys. Rev. E, Vol. 82, 026204 (2010).


P. Perlikowski,S. Yanchuk, O.V. Popovych, and P.A. Tass, Periodic patterns in a ring of delay-coupled oscillators, Phys. Rev. E, Vol. 82, 036208 (2010).


O.V. Popovych, V. Krachkovskyi, and P.A. Tass, Phase-locking swallows in coupled oscillators with delayed feedback, Phys. Rev. E, Vol. 82, 046203 (2010).


O.V. Popovych and P.A. Tass, Macroscopic entrainment of periodically forced oscillatory ensembles, Prog. Biophys. Molec. Biol., Vol. 105, 98-108 (2011).


B. Lysyansky, O.V. Popovych, and P.A. Tass, Multi-frequency activation of neuronal networks by coordinated reset stimulation, Interface Focus, Vol. 1, 75-85 (2011).


B. Lysyansky, O.P. Popovych, P.A. Tass: Desynchronizing anti-resonance effect of the m : n ON-OFF coordinated reset Stimulation. Journal of Neural Engineering 8 (2011) 036019


Review-, Tutorialartikel und Buchbeitraege



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


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


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


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


P.A. Tass, C. Hauptmann, and O.V. Popovych, Development of Therapeutic Brain Stimulation Techniques with Methods from Nonlinear Dynamics and Statistical Physics, Int. J. Bif. Chaos, Vol. 16, No. 7, 1889-1911 (2006).


P.A. Tass, C. Hauptmann, and O.V. Popovych Control of Synchronization in Oscillatory Neural Networks, in: Handbook of Chaos Control, 2nd Edition, E. Schoell and H.G. Schuster (eds.) (Wiley-VCH, 2007) pp. 653–682. 3


P. Tass, O. Popovych, and C. Hauptmann, Brain Pacemaker, in: Encyclopedia of Complexity and Systems Science, R.A. Meyers (Ed.), Entry 00757 (Springer, Berlin, 2009)

Referierte Konferenzbeitraege



M. Hasler, Yu. Maistrenko, and O. Popovych, 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.


M. Hasler, Yu. Maistrenko, and O. Popovych, 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.


O. Popovych, Yu. Maistrenko, and M. Hasler, 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.


M.Hasler, O.Popovych, and Yu.Maistrenko, 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, 7 pages.


O. Popovych, Yu. Maistrenko, and A. Pikovsky, 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.


O. Popovych, V. Krachkovskyi, and P.A. Tass, 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.


O.V. Popovych, C. Hauptmann, and P.A. Tass, 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, 4 pages.

Patentanmeldungen



U. Barnikol, H.-J. Freund, J. Niederhauser, O. Popovych, J. Roulet, U. Schnell, and P.A. Tass, Auditory stimulation device for patient, has stimulation unit for producing acoustic stimulation signal, where frequencies of signal cause that phase of abnormal neural activity of subpopulations of stimulated neuron population are canceled, Patent Number(s): DE102008015259-A1; EP2103288-A2; WO2009115088-A2; EP2103288-A3; WO2009115088-A3; DE102008015259-B4. 4


P.A. Tass, O. Popovych, C. Hauptmann, and V. Krachkovskyi, Neural brain activity desynchronizing method for curing diseases involves stimulating brain area by electrode which results in desynchronization of targeted neuron population while symptoms are suppressed, Patent Number(s): WO2005115537-A1; DE102004025945-A1; EP1748819-A1; IN200603286-P2; US2007203532-A1; CN1956751-A; JP2008500074-W.


P.A. Tass, O. Popovych, C. Hauptmann, Desynchronization of neuronal brain activity for the treatment of neuronal illnesses by measurement of neuronal activity and then generation of electrode stimulation signals based on the measured activity, Patent Number(s): WO2005053787-A1; DE10355652-A1; EP1691887-A1; US2006276853-A1; CN1886172-A; IN200601435-P2; JP2007534357-W; EP1691887-B1; DE502004009540-G; ES2327932-T3; CN100506318-C; JP4489080-B2 5


Servicemenü

Homepage