Main Publications of Michael Rosenblum


2018


C. Topcu, M. Frühwirth, M. Moser, M. Rosenblum, and A. Pikovsky,
Disentangling respiratory sinus arrhythmia in heart rate variability records,
Physiological Measurements,
39, 054002, 2018


M. Rosenblum and A. Pikovsky,
Efficient determination of synchronization domains from observations of asynchronous dynamics ,
Chaos,
28, 106301, 2018


R. Cestnik and M. Rosenblum,
Inferring the phase response curve from observation of a continuously perturbed oscillator,

Scientific Reports
8, 13606, 2018


2017


R. Guevara Erra, J.L. Perez Velazques, and M. Rosenblum,
Neural Synchronization from the Perspective of Non-linear Dynamics
,
Frontiers in Comp. Neuroscience, 11:98, 2017


R. Cestnik and M. Rosenblum,
Reconstructing networks of pulse-coupled
oscillators from spike trains,
Physical Review E,
96, 012209, 2017


D.S. Goldobin, A.V. Pimenova, M. Rosenblum, and A. Pikovsky,
Competing influence of common noise and desynchronizing coupling on synchronization
transition in the Kuramoto-Sakaguchi ensemble,
The European Physical Journal Special Topics, 226, 1921, 2017


O.V. Popovych, B. Lysyansky, M. Rosenblum, A. Pikovsky, and P.A. Tass,
Pulsatile desynchronizing delayed feedback for closed-loop deep brain stimulation,
PLOS ONE, DOI:10.1372/journal.pone.0173363, 2017


2016


A.V. Pimenova, D.S. Goldobin, M. Rosenblum, and A. Pikovsky,
Interplay of coupling and common noise at the transition to synchrony
in oscillator populations,
Scientific Reports, 6, 38518, 2016


V. Vlasov, M. Rosenblum, and A. Pikovsky,
Dynamics of weakly inhomogeneous oscillator populations: perturbation
theory on top of Watanabe-Strogatz integrability,
J. Phys. A: Math. Theor.,
49, 31LT02, 2016


P. Clusella, A. Politi, and M. Rosenblum,
A minimal model of self-consistent partial synchrony,
New Journal of Physics,
18, 093037, 2016


2015


M. Rosenblum and A. Pikovsky,
Two types of quasiperiodic partial synchrony in oscillator ensembles
,
Physical Review E,
92, 012919, 2015


A. Pikovsky and M. Rosenblum,
Dynamics of globally coupled oscillators: Progress and perspectives,
Chaos,
25, 097616, 2015


A. Politi and M. Rosenblum,
Equivalence of phase-oscillator and integrate-and-fire models,
Physical Review E,
91, 042916, 2015


J. L. Perez Velazquez, R. Guevara Erra, and M. Rosenblum,
The epileptic thalamocortical network is a macroscopic self-sustained oscillator:
Evidence from frequency-locking experiments in rat brains
,
Scientific Reports,
5, 8423, 2015


2014


B. Kralemann, A. Pikovsky, and M. Rosenblum,
Reconstructing effective phase connectivity of oscillator networks from observations
,
New Journal of Physics,
16, 085013, 2014


A. Yeldesbay, A. Pikovsky, and M. Rosenblum,
Chimeralike states in an ensemble of globally coupled oscillators,
Phys. Rev. Lett.  
112,  pp. 144103,  2014.


Yu. Maistrenko,  B. Penkovsky,  and M. Rosenblum,
Solitary state at the edge of synchrony in ensembles with attractive and repulsive interaction,
Phys. Rev. E,
89,  pp. 060901(R), 2014.


O. Pollatos, A. Yeldesbay, A. Pikovsky, and M. Rosenblum,
How much time has passed? Ask your heart,
Frontiers in Neurorobotics,
8, article 15,  2014.


2013


B. Kralemann, M. Frühwirth, A. Pikovsky, M. Rosenblum, T. Kenner,  J. Schaefer, and M. Moser,
In vivo cardiac phase response curve elucidates human respiratory heart rate variability,
Nature Communications,
4, p. 2418, 2013
Preprint: pdf file


A. Pikovsky, M. Rosenblum, and J. Kurths,
Die Schimäre lebt,
Physik Journal,
12(8/9), pp. 18-19, 2013.


G. Montaseri, M. Javad Yazdanpanah, A. Pikovsky, and M. Rosenblum,
Synchrony suppression in ensembles of coupled oscillators via vanishing feedback
Chaos,
23, p. 033122, 2013.


S. Ehrich, A. Pikovsky, and M. Rosenblum,
From complete to modulated synchrony in networks of identical Hindmarsh-Rose neurons
Eur. Phys. J. Special Topics,
222, p. 2407-2416, 2013.


A. A. Temirbayev, Y. D. Nalibayev, Z. Zh. Zhanabaev, V. I. Ponomarenko, and M. Rosenblum,
Autonomous and forced dynamics of oscillator ensembles with global nonlinear coupling: An experimental study,
Phys. Rev. E,
87, p. 062917, 2013.


B. Kralemann, A. Pikovsky, and M. Rosenblum,
Detecting triplet locking by triplet synchronization indices,
Phys. Rev. E,
87, p. 052904, 2013.


2012


J.T.C. Schwabedal, A. Pikovsky, B. Kralemann, and M. Rosenblum,
Optimal phase description of chaotic oscillators,
Phys. Rev. E,
85, p. 026216, 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.


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.


B. Kralemann, A. Pikovsky, and M. Rosenblum,
Reconstructing phase dynamics of oscillator networks,
Chaos,
21, p. 025104, 2011.


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


2010


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


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


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


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


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


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.


2008


A.S. Pikovsky and M.G. Rosenblum,
Partially integrable dynamics of hierarchical populations of coupled oscillators,
Physical Review Letters,
101, p. 264103, 2008


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.


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.


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


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.

MATLAB toolbox: 

here  


M.G. Rosenblum and A.S. Pikovsky,
Self-organized quasiperiodicity in oscillator ensembles with global nonlinear coupling,
Physical Review Letters,
98,  p. 064101, 2007.


N. Tukhlina, M.G. Rosenblum,  A.S. Pikovsky, and J. Kurths,
Feedback suppression of neural synchrony by vanishing stimulation,
Physical Review E,
75,  011918, 2007.


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.


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


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.


L. Cimponeriu, M.G. Rosenblum, and A.S. Pikovsky,
Estimation of delay in coupling from time series,
Physical Review E,
70,  046213, 2004.


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.


M.G. Rosenblum and  A.S. Pikovsky,
Controlling synchrony in ensemble of globally coupled oscillators,
Physical Review Letters,
92,  p. 114102, 2004.
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.


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.


D. Goldobin, M. Rosenblum, and  A. Pikovsky,
Coherence of noisy oscillators with delayed feedback,
Physica A,
327, pp. 124-128, 2003.


M. Rosenblum and  A. Pikovsky,
Synchronization: From pendulum clocks to chaotic lasers and chemical oscillators,
Contemporary Physics,
44, pp. 401-416, 2003.


D. Goldobin, M. Rosenblum, and  A. Pikovsky,
Controlling oscillator coherence by delayed feedback,
Physical Review E,
67, p. 061119, 2003.


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.


Synchronization (Russian edition)


A. Pikovsky, M. Rosenblum, J. Kurths

Sinhronizacija

Fundamental'noe nelineinoe javlenie

Technosfera, Moskva, 2003
 

welcome to the book home page

 


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.


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.

MATLAB toolbox: 

here  


2001


A. Pikovsky, M. Rosenblum, and J. Kurths

Synchronization

A Universal  Concept in Nonlinear Sciences

Cambridge University Press, 2001
 
 

welcome to the book home page

 


A.S. Pikovsky and M.G. Rosenblum,
Comment on ``Intermittency in chaotic rotations'',
Physical Review E,
64, p. 058203, 2001.


M.G. Rosenblum and A.S. Pikovsky,
Detecting direction of coupling in interacting oscillators,
Physical Review E,
64, p. 045202, 2001.

MATLAB toolbox: 

here  


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.
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.


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.


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.


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.


P.Ch. Ivanov,  L.A.N. AmaralA. 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.


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.


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 .


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.
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.


C. Schäfer, M.G. Rosenblum, J. Kurths, and H.-H. Abel,
Heartbeat Synchronized with Ventilation,
Nature,
392 (6673), pp. 239-240, 1998.


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.


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.
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.
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.


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.


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.


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.


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.


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.


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.


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.


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.


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.


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.


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.


M.G. Rosenblum, A.S. Pikovsky and J. Kurths,
Phase Synchronization of Chaotic Oscillators,
Physical Review Letters,
76, pp. 1804-1807, 1996.


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.


M.G. Rosenblum and J. Kurths,
A Model of Neural Control of the Heart Rate,
Physica A,
215 (4), pp. 439-450, 1995.


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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