Recent
Publications of Michael
Rosenblum2009
Y. Baibolatov, M. Rosenblum, Z.Zh. Zhanabaev, M. Kyzgarina, and.A.
Pikovsky
Periodically forced ensemble of nonlinearly
coupled oscillators: From partial to full synchrony,
Physical
Review E, 80, p. 046211, 2009
pdf
file (2 Mb)
A.S.
Pikovsky and M.G. Rosenblum,
Self-organized partially
synchronous dynamics in populations of nonlinearly coupled
oscillators,
Physica D, 238
(1)
, pp. 27-37, 2009.
pdf
file (1.5 Mb)
2008
A.S.
Pikovsky and M.G. Rosenblum,
Partially integrable dynamics
of hierarchical populations of coupled oscillators,
Physical
Review Letters, 101, p.
264103, 2008
pdf file (0.5
Mb)
N. Tukhlina and M.G.
Rosenblum,
Feedback suppression of neural synchrony in two
interacting populations by vanishing stimulation,
Journal of
Biological Physics, 34, pp. 301-314,
2008.
pdf file
(0.8 Mb)
N. Tukhlina, M.G. Rosenblum,
and A.S.
Pikovsky,
Controlling coherence of noisy and chaotic
oscillators by a linear feedback,
Physica A, 387, pp.
6045–6056, 2008.
pdf
file (2.1 Mb)
B. Kralemann, L. Cimponeriu, M.G. Rosenblum, A.S.
Pikovsky, and R. Mrowka,
Phase dynamics of coupled
oscillators reconstructed from data,
Physical Review E, 77,
p. 066205, 2008
pdf file
(2 Mb)
2007
A.S.
Pikovsky and M.G. Rosenblum,
Synchronization,
Scholarpedia,
2(12): 1459.
B. Kralemann, L. Cimponeriu, M.G.
Rosenblum, A.S.
Pikovsky, and R. Mrowka
Uncovering interaction of coupled
oscillators from data,
Physical Review E, 76, p.
055201, 2007.
pdf file (280 Kb)
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MATLAB scripts: One oscillator Two oscillators |
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M.G. Rosenblum and A.S.
Pikovsky,
Self-organized quasiperiodicity in oscillator
ensembles with global nonlinear coupling,
Physical Review
Letters, 98, p. 054102, 2007.
pdf
file (200 Kb)
N. Tukhlina, M.G. Rosenblum, A.S.
Pikovsky, and J.
Kurths,
Feedback suppression of neural synchrony by
vanishing stimulation,
Physical Review E, 75,
011019, 2007.
pdf file (620 Kb)
2006
U. Parlitz, M.G. Rosenblum, A.S.
Pikovsky, and J.
Kurths,
Schwingungen im Gleichtakt.
Synchronisation –
ein universelles Ordnungsprinzip für Oszillationen und
Rhythmen.
Physik Journal, 5(10), pp. 33-40, 2006.
pdf
file (9.3 Mb)
M.G. Rosenblum, L. Cimponeriu, N.
Tukhlina, and A.S.
Pikovsky,
Delayed feedback suppression of collective
rhythmic activity in a neuronal ensemble,
Int. J. of
Bifurcation and Chaos, 16 (7), pp. 1989-1999, 2006
pdf
file (1.4 Mb)
M.G. Rosenblum, L. Cimponeriu,
and A.S.
Pikovsky,
Coupled oscillators approach in analysis of
bivariate data,
In: Handbook of Time Series Analysis,
Wiley-VCH, Editors: B. Schelter, M. Winterhalder, and J.
Timmer
Chapter 7, pp. 159-180, 2006.
pdf
file (770 Kb)
2004
M.G. Rosenblum and A.S.
Pikovsky,
Delayed feedback control of collective
synchrony:
An approach to suppression of pathological brain
rhythms,
Physical Review E, 70, 041904, 2004.
pdf file (620 Kb)
L. Cimponeriu, M.G. Rosenblum, and A.S.
Pikovsky,
Estimation of delay in coupling from time
series,
Physical Review E, 70, 046213, 2004.
pdf file (415 Kb)
M.G. Rosenblum, A.S.
Pikovsky, and J.
Kurths,
Synchronization approach to analysis of biological
systems,
Fluctuation and Noise Letters, 4(1),
L53-L62, 2004.
pdf
file (370 Kb)
M.G. Rosenblum and A.S.
Pikovsky,
Controlling synchrony in ensemble of globally
coupled oscillators,
Physical Review Letters, 92,
p. 114102, 2004.
pdf
file (290 Kb)
About this paper:
Physics News, Number 673 #1, Feb 18, 2004
2003
R. Mrowka, L. Cimponeriu, A. Patzak,
and M.G. Rosenblum,
Directionality of coupling of
physiological subsystems - age related changes of
cardiorespiratory interaction during different sleep stages in
babies,
Am. J. of Physiology Regul. Comp. Integr. Physiol.,
285, pp. R1395-R1401, 2003.
pdf
file (420 Kb)
L. Cimponeriu, M.G. Rosenblum, T.
Fieseler, J. Dammers, M. Schiek,
M. Majtanik, P. Morosan, A.
Bezerianos, and P. A. Tass,
Inferring asymmetric
relations between interacting neuronal oscillators,
Progress
of Theoretical Physics Suppl., 150, pp. 22-36, 2003.
pdf
file (310 Kb)
D. Goldobin, M. Rosenblum, and A.
Pikovsky,
Coherence of noisy oscillators with delayed
feedback,
Physica A, 327, pp. 124-128, 2003.
pdf
file (130 Kb)
M. Rosenblum and A.
Pikovsky,
Synchronization: From pendulum clocks to chaotic
lasers and chemical oscillators,
Contemporary Physics, 44,
pp. 401-416, 2003.
pdf
file (400 Kb)
D. Goldobin, M. Rosenblum, and A.
Pikovsky,
Controlling oscillator coherence by delayed
feedback,
Physical Review E, 67, p. 061119, 2003.
pdf
file (270 Kb)
B.P. Bezruchko, V. Ponomarenko,
A.S.
Pikovsky and M.G. Rosenblum,
Characterizing direction of
coupling from experimental observations,
Chaos, 13(1),
pp. 179-184, 2003.
pdf
file (490 Kb)
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Synchronization (Russian edition) A. Pikovsky, M. Rosenblum, J. Kurths Sinhronizacija Fundamental'noe nelineinoe javlenie Technosfera, Moskva, 2003
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2002
M.G. Rosenblum, A.S.
Pikovsky, J.
Kurths, G.V. Osipov, I.Z. Kiss, and J.L.
Hudson,
Locking-based frequency measurement and
synchronization
of chaotic oscillators with complex
dynamics,
Physical
Review Letters, 89, p. 264102, 2002.
pdf
file (160 Kb)
M.G. Rosenblum, L. Cimponeriu, A.
Bezerianos, A. Patzak, and R. Mrowka
Identification of
coupling direction: Application to cardiorespiratory interaction,
Physical
Review E, 65, p. 041909, 2002.
pdf
file (340 Kb)
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please read the comments in the script before usage |
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please cite our papers if you use the script |
2001
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A. Pikovsky, M. Rosenblum, and J. Kurths Synchronization A Universal Concept in Nonlinear Sciences Cambridge University Press,
2001
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A.S.
Pikovsky and M.G. Rosenblum,
Comment on ``Intermittency in
chaotic rotations'',
Physical
Review E, 64, p. 058203, 2001.
pdf
file (52 Kb)
M.G. Rosenblum and A.S.
Pikovsky,
Detecting direction of coupling in interacting
oscillators,
Physical
Review E, 64, p. 045202, 2001.
pdf
file (218 Kb)
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please read the comments in the script before usage |
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please cite our papers if you use the script |
M.G. Rosenblum, A.S.
Pikovsky, J.
Kurths, C.
Schäfer, and P.
Tass,
Phase Synchronization: From Theory to Data Analysis,
In: Handbook
of Biological Physics, Elsevier Science, Series Editor
A.J. Hoff,
Vol. 4, Neuro-informatics and Neural Modeling,
Editors: F. Moss and S. Gielen,
Chapter 9, pp. 279-321,
2001.
Gzipped
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file (2.5 Mb)
M.G. Rosenblum, A.S.
Pikovsky, and J.
Kurths,
Comment on ``Phase synchronization in discrete
chaotic systems'',
Physical
Review E, 63, p. 058201, 2001.
pdf
file (30 Kb)
2000
R. Mrowka, A. Patzak, and M.G.
Rosenblum,
Quantitative Analysis of Cardiorespiratory
Synchronization in Infants,
Int. J. of Bifurcation and Chaos,
10 (11), pp. 2479-2488.
pdf
file (560 Kb)
A.S.
Pikovsky, M.G. Rosenblum, and J.
Kurths,
Phase Synchronization in Regular and Chaotic
Systems,
Int. J. of Bifurcation and Chaos, 10 (10),
pp. 2291-2306.
pdf
file (1.28 Mb)
1999
A.S.
Pikovsky, M.G. Rosenblum, M.A.
Zaks, and J.
Kurths,
Phase Synchronization of Regular and Chaotic
Oscillators,
In: "Handbook of Chaos Control",
Edited by H. G. Schuster,
(Wiley-VCH, Weinheim, 1999), pp.
305-328.
pdf file (3.4 Mb)
P.Ch. Ivanov, L.A.N.
Amaral, A.
L. Goldberger, S.
Havlin, M.G. Rosenblum, Z.
Struzik, and H.E. Stanley,
Multifractality in Human Heartbeat Dynamics,
Nature,
399 (6735), pp. 461-465, 1999.
Pdf
file (386 Kb)
C. Schäfer, M.G. Rosenblum, H.-H.
Abel, and J.
Kurths,
Synchronization in the Human Cardiorespiratory
System,
Physical Review E, 60, pp. 857-870, 1999.
pdf
file (435 Kb)
M.A.
Zaks, E.-H. Park, M.G. Rosenblum, and J.
Kurths,
Alternating Locking Ratios in
Imperfect Phase Synchronization,
Physical Review
Letters, 82, pp. 4228-4231, 1999 .
pdf
file (1.37 Mb)
P.
Tass, M.G. Rosenblum, J.Weule, J.
Kurths, A.S.
Pikovsky, J.Volkmann, A.Schnitzler, and H.-J.Freund,
Detection
of n:m Phase Locking from Noisy Data: Application to
Magnetoencephalography,
Physical Review Letters, 81,
pp. 3291-3294, 1998.
pdf
file (510 Kb)
About this paper: Physics
Today, March 1999, pp. 17-19.
M.G. Rosenblum, J.
Kurths, A.S.
Pikovsky, C. Schäfer, P.
Tass, and H.-H. Abel,
Synchronization in Noisy Systems and
Cardiorespiratory Interaction,
IEEE Eng. in Medicine and
Biology Magazin, 17(6), pp. 46-53, 1998.
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C. Schäfer, M.G. Rosenblum, J.
Kurths, and H.-H. Abel,
Heartbeat Synchronized with
Ventilation,
Nature, 392 (6673), pp. 239-240, 1998.
pdf
file (340 Kb)
P. Ch. Ivanov, M. G. Rosenblum, C.-K.
Peng, J. Mietus, S.
Havlin, H.E. Stanley, and
A. L.
Goldberger,
Scaling and Universality in Heart Rate
Variability Distributions,
Physica A 249, pp. 587-593,
1998.
pdf
file (350 Kb)
M. G. Rosenblum, G. I.
Firsov, R. A. Kuuz, and B. Pompe,
Human Postural Control -
Force Plate Experiments and Modelling,
In: "Nonlinear
Analysis of Physiological Data", Edited by H. Kantz, J. Kurths,
and G. Mayer-Kress
(Springer, Berlin, 1998), pp. 283-306.
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M.G. Rosenblum and J.
Kurths,
Analysing Synchronization Phenomena from Bivariate
Data by Means of the Hilbert Transform,
In: "Nonlinear
Analysis of Physiological Data", Edited by H. Kantz, J. Kurths,
and G. Mayer-Kress
(Springer, Berlin, 1998), pp. 91-99.
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PostScript file (180 Kb) pdf
file (275 Kb)
A.S.
Pikovsky, M.A.
Zaks, M.G. Rosenblum, G.V. Osipov and J.
Kurths,
Phase Synchronization of Chaotic Oscillations in
Terms of Periodic Orbits,
CHAOS, 7 (4), pp. 680-687,
1997.
pdf
file (235 Kb)
M.G. Rosenblum, A.S.
Pikovsky and J.
Kurths,
Phase Synchronization in Driven and Coupled
Chaotic Oscillators,
IEEE Transactions On Circuits and
Systems - I, 44 (10), pp. 874-881, 1997.
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R. Engbert, C. Scheffczyk, R.T. Krampe,
M.G. Rosenblum, J.
Kurths, and R. Kliegl,
Tempo-Induced Transitions in
Polyrhythmic Hand Movements,
Physical Review E, 56,
pp. 5823-5833, 1997.
pdf
file (330 Kb)
A.S.
Pikovsky, G.V. Osipov, M.G. Rosenblum, M.A.
Zaks, and J.
Kurths,
Attractor-Repeller Collision and Eyelet
Intermittency at the Transition to Phase Synchronization,
Physical Review Letters, 79, pp. 47-50, 1997.
pdf
file (176 Kb)
P.S. Landa, A.
Zaikin, M.G. Rosenblum, and J.
Kurths,
Control of Noise-Induced Oscillations of a
Pendulum with a Randomly Vibrating Suspension Axis,
Physical
Review E, 56 (2), pp. 1465-1470, 1997.
pdf
file (137 Kb)
M.G. Rosenblum, A.S.
Pikovsky and J.
Kurths,
From Phase to Lag Synchronization in Coupled
Chaotic Oscillators,
Physical Review Letters, 78, pp.
4193-4196, 1997.
pdf
file (135 Kb)
G.V. Osipov, A.S.
Pikovsky, M.G. Rosenblum, and J.
Kurths,
Phase Synchronization Effects in a Lattice of
Nonidentical Rössler Oscillators,
Physical Review E, 55
(3), pp. 2353-2361, 1997.
pdf
file (6.8 Mb)
A.S.
Pikovsky, M.G. Rosenblum, G.V. Osipov, and J.
Kurths,
Phase Synchronization of Chaotic Oscillators by
External Driving,
Physica D, 104 (3-4), pp. 219-238,
1997.
pdf
file (1.14 Mb)
C.Scheffczyk, A.
Zaikin, M. Rosenblum, R. Engbert, R. Krampe, and J.
Kurths,
Modeling Qualitative Changes in Bimanual
Movements,
Int. J. of Bifurcation and Chaos, 7 (6),
pp. 1441-1450, 1997.
Gzipped
PostScript file (143 Kb)
P.Ch. Ivanov, M.G. Rosenblum, C.-K.
Peng, J. Mietus, S.
Havlin, H.E. Stanley, and
A. L.
Goldberger,
Scaling Behavior of Heartbeat Intervals
Obtained by Wavelet-Based Time Series Analysis,
Nature, 383,
pp. 323-327, 1996.
Gzipped
PostScript file (411 Kb)
P. Tass, J.
Kurths, M.G. Rosenblum, G. Guasti, and H. Hefter,
Delay
Induced Transitions in Visually Guided Movements,
Physical
Review E, 54 (3), pp. R2224-R2227, 1996.
pdf
file (1.12 Mb)
A.S.
Pikovsky, M.G. Rosenblum and J.
Kurths,
Synchronization in a Population of Globally
Coupled Chaotic Oscillators,
Europhysics Letters, 34
(3), pp. 165-170, 1996.
pdf
file (2 Mb)
M.G. Rosenblum, A.S.
Pikovsky and J.
Kurths,
Phase Synchronization of Chaotic Oscillators,
Physical Review Letters, 76, pp. 1804-1807, 1996.
pdf
file (195 Kb)
I.I. Blekhman, P.S. Landa and M.G.
Rosenblum,
Synchronization and Chaotization in Interacting
Dynamical Systems,
Applied Mechanics Reviews, 48 (11),
pp. 733-752, 1995.
I.I. Blekhman, P.S. Landa and M.G.
Rosenblum,
Synchronization and Chaotization Phenomena in
Oscillatory and Rotatory Dynamical Systems,
In: "Nonlinear
Dynamics: New Theoretical and Applied Results", pp. 17-54,
Berlin: Academic Verlag, 1995.
P.S. Landa and M.G. Rosenblum,
Modified Mackey - Glass Model of Respiration Control,
Physical Review E, 52 (11), pp. R36-R39, 1995.
pdf
file (660 Kb)
M.G. Rosenblum and J.
Kurths,
A Model of Neural Control of the Heart Rate,
Physica A, 215 (4), pp. 439-450, 1995.
pdf
file (195 Kb)
M.G. Rosenblum and J.
Kurths,
A Simple Test for Hidden Periodicity in Time
Series Data,
Int. J. of Bifurcation and Chaos, 5 (1),
pp. 265-269, 1995.