Main Publications of Michael Rosenblum

2012

A. A. Temirbayev, Z. Zh. Zhanabaev, S. B. Tarasov, V. I. Ponomarenko, and M. Rosenblum,
Experiments on oscillator ensembles with global nonlinear coupling,
Phys. Rev. E, 85, p. 015204(R), 2012.
pdf file

2011

K. Blaha, A. Pikovsky, M. Rosenblum, M. Clark, C. Rusin, and J. Hudson,
Reconstruction of two-dimensional phase dynamics from experiments on coupled oscillators,
Phys. Rev. E, 84, p. 046201, 2011.
pdf file

B. Kralemann, A. Pikovsky, and M. Rosenblum,
Reconstructing phase dynamics of oscillator networks,
Chaos, 21, p. 025104, 2011.
pdf file (3.8 Mb)

A. Pikovsky and M. Rosenblum,
Dynamics of heterogeneous oscillator ensembles in terms of collective variables,
Physica D, 240, p. 872-881, 2011.
pdf file (0.8 Mb)

2010

I. Omelchenko, M. Rosenblum, and A. Pikovsky,
Synchronization of slow-fast systems,
Eur. Phys. J. Special Topics, 191, p. 3-14, 2010
pdf file (4.7 Mb)

S. P. Kuznetsov, A. Pikovsky, and M. Rosenblum,
Collective phase chaos in the dynamics of interacting oscillator ensembles,
Chaos, 20, p. 043134, 2010
pdf file (1.3 Mb)

G. Bordyugov, A. Pikovsky, and M. Rosenblum,
Self-emerging and turbulent chimeras in oscillator chains,
Physical Review E, 82, p. 035205, 2010
pdf file (0.3 Mb)

Y. Baibolatov, M. Rosenblum, Z.Zh. Zhanabaev, and A. Pikovsky,
Complex dynamics of an oscillator ensemble with uniformly distributed
natural frequencies and global nonlinear coupling,
Physical Review E, 82, p. 016212, 2010
pdf file (2 Mb)

2009

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)

M.G. Rosenblum and  A.S. Pikovsky,
Self-organized quasiperiodicity in oscillator ensembles with global nonlinear coupling,
Physical Review Letters, 98,  p. 064101, 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)

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)

2001

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)

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 PostScript file (1 Mb)       pdf 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)

1998

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.
Gzipped PostScript file (240 Kb)

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.
Gzipped PostScript file (1 Mb)    pdf file (1.3 Mb)

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.
Gzipped PostScript file (180 Kb)   pdf file (275 Kb)

1997

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.
Gzipped PostScript file (300 Kb) 

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)

1996

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)

1995

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.

1993

P.S. Landa and M.G. Rosenblum,
Synchronization and chaotization of oscillations in coupled self-oscillating systems,
Applied Mechanics Reviews, 46 (9), pp. 414--426, 1993.

M.G. Rosenblum,
A characteristic frequency of chaotic dynamical system,
Chaos, Solitons & Fractals, 3 (6), pp. 617-626, 1993.

1992

M.G. Rosenblum and G.I. Firsov,
Stochastic self-oscillations in the system of human vertical
posture control. I. Strategy of posture control and dynamical model,
Biomechanics (Sofia), 24, pp. 34-41, 1992.

M.G. Rosenblum and G.I. Firsov,
Stochastic self-oscillations in the system of human vertical
posture control. II. Simulation and experiment,
Biomechanics (Sofia), 25, pp. 37-43, 1992.

P.S. Landa and M.G. Rosenblum,
On possible inaccuracy in quantification of chaotic motion,
Chaos, Solitons & Fractals, 2, pp. 251--258, 1992.

P.S. Landa and M.G. Rosenblum,
Synchronization of random self-oscillating systems,
Sov. Phys. Dokl. 37 (5), pp. 237--239, 1992.

1991

P.S. Landa and M.G. Rosenblum,
Time series analysis for system identification and diagnostics,
Physica D, 48 (1), pp. 232--254, 1991.

1989

P.S. Landa and M.G. Rosenblum,
Methods for evaluating the embedding dimension of an attractor from experimental results,
Sov. Phys. Tech. Phys., 34 (1), pp. 6-10, 1989.

P.S. Landa and M.G. Rosenblum,
Comparison of methods of constructing a phase space and determining
the dimension of an attractor from experimental data,
Sov. Phys. Tech. Phys., 34 (11), pp. 1229-1232, 1989.

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