## Rosenblum, Michael G.

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 Author ID: rosenblum.michael-g Published as: Rosenblum, Michael; Rosenblum, M. G.; Rosenblum, Michael G.; Rosenblum, M. more...less Homepage: http://www.stat.physik.uni-potsdam.de/~mros/
 Documents Indexed: 61 Publications since 1991, including 2 Books Co-Authors: 60 Co-Authors with 56 Joint Publications 1,522 Co-Co-Authors
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### Co-Authors

 5 single-authored 28 Pikovsky, Arkady S. 16 Kurths, Jürgen 4 Landa, Polina Solomonovna 4 Tass, Peter Alexander 3 Colantuoni, Elizabeth 3 Díaz, Iván 3 Hanley, Daniel F. 3 Van der Laan, Mark Johannes 2 Cimponeriu, Laura 2 Fang, Ethan X. 2 Freund, Hans Joachim 2 Goldberger, Ary L. 2 Goldobin, Denis S. 2 Havlin, Shlomo 2 Ivanov, Plamen Ch. 2 Liu, Han 2 Osipov, Grigory V. 2 Pompe, Bernd 2 Schnitzler, Alfons 2 Stanley, H. Eugene 2 Volkmann, Jens 2 Zaks, Michael A. 1 Bandt, Christoph 1 Bauer, Reinhard 1 Blekhman, Ilya Izrailevich 1 Clusella, Pau 1 Dylov, Dmitry V. 1 Engbert, Ralf 1 Firsov, Georgy 1 Groth, Andreas 1 Guasti, Giovanna 1 Hefter, Harald 1 Hoyer, Dirk 1 Huang, Emily J. 1 Kralemann, Björn 1 Krylov, Dmitrii 1 Kuuz, Robert 1 Kuznetsov, Sergey P. 1 Marwan, Norbert 1 Montaseri, Ghazal 1 Mrowka, Ralf 1 Nunes Amaral, Luis A. 1 Ogburn, Elizabeth L. 1 Paluš, Milan 1 Patzak, Andreas 1 Politi, Antonio Z. 1 Romano, Maria Carmen 1 Schäfer, Carsten 1 Scheffczyk, Christian 1 Struzik, Zbigniew R. 1 Teichmann, Erik 1 Thiel, Marco 1 Tukhlina, Natalia 1 Wang, Bingkai 1 Weule, Jörg 1 Yazdanpanah, Mohammad Javad 1 Yen, En-Hsu 1 Zaikin, A. A. 1 Żebrowski, Jan Jacek 1 Zwiener, Ulrich
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### Serials

 11 Chaos 5 Biometrics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Physica D 3 Chaos, Solitons and Fractals 2 Biometrika 2 Lifetime Data Analysis 2 Cambridge Nonlinear Science Series 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Physica A 1 Biometrical Journal 1 Journal of the American Statistical Association 1 Journal of Statistical Planning and Inference 1 Journal of the Royal Statistical Society. Series B. Statistical Methodology 1 New Journal of Physics 1 Journal of Physics A: Mathematical and Theoretical
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### Fields

 23 Ordinary differential equations (34-XX) 20 Biology and other natural sciences (92-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Statistics (62-XX) 10 Systems theory; control (93-XX) 6 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

43 Publications have been cited 1,397 times in 1,229 Documents Cited by Year
Synchronization: a universal concept in nonlinear sciences. Zbl 0993.37002
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
2001
Synchronization: a universal concept in nonlinear sciences. Reprint of the 2001 hardback edition. Zbl 1219.37002
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
2003
Phase synchronization of chaotic oscillators by external driving. Zbl 0898.70015
Pikovsky, Arkady S.; Rosenblum, Michael G.; Osipov, Grigory V.; Kurths, Jürgen
1997
Phase synchronization in noisy and chaotic oscillators. Zbl 0896.60090
Rosenblum, Michael; Pikovsky, Arkady; Kurths, Jürgen
1997
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
Pikovsky, Arkady; Rosenblum, Michael
2015
Dynamics of heterogeneous oscillator ensembles in terms of collective variables. Zbl 1233.37014
Pikovsky, Arkady; Rosenblum, Michael
2011
Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators. Zbl 1153.37403
Pikovsky, Arkady; Rosenblum, Michael
2009
Phase synchronization of chaotic oscillations in terms of periodic orbits. Zbl 0933.37034
Pikovsky, Arkady; Zaks, Michael; Rosenblum, Michael; Osipov, Grigory; Kurths, Jürgen
1997
From $$1/f$$ noise to multifractal cascades in heartbeat dynamics. Zbl 0990.92024
Ivanov, Plamen Ch.; Amaral, Luís A. Nunes; Goldberger, Ary L.; Havlin, Shlomo; Rosenblum, Michael G.; Stanley, H. Eugene; Struzik, Zbigniew R.
2001
Phase synchronization in regular and chaotic systems. Zbl 1090.37508
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
2000
Reconstructing phase dynamics of oscillator networks. Zbl 1317.34057
Kralemann, Björn; Pikovsky, Arkady; Rosenblum, Michael
2011
Synchronization and chaotization phenomena in oscillatory and rotatory dynamical systems. Zbl 0839.34040
Blekhman, I. I.; Landa, P. S.; Rosenblum, M. G.
1995
Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback. Zbl 1323.34072
2013
Numerical phase reduction beyond the first order approximation. Zbl 1406.34076
Rosenblum, Michael; Pikovsky, Arkady
2019
Analysing synchronization phenomena from bivariate data by means of the Hilbert transform. Zbl 1045.92510
Rosenblum, Michael; Kurths, Jürgen
1998
Delayed feedback suppression of collective rhythmic activity in a neuronal ensemble. Zbl 1154.92307
Rosenblum, Michael; Tukhlina, Natalia; Pikovsky, Arkady; Cimponeriu, Laura
2006
Coherence of noisy oscillators with delayed feedback. Zbl 1031.37074
Goldobin, D.; Rosenblum, M.; Pikovsky, A.
2003
Dynamics of weakly inhomogeneous oscillator populations: perturbation theory on top of Watanabe-Strogatz integrability. Zbl 1347.34055
2016
Solitary states and partial synchrony in oscillatory ensembles with attractive and repulsive interactions. Zbl 1423.34061
Teichmann, Erik; Rosenblum, Michael
2019
Using regression models to analyze randomized trials: asymptotically valid hypothesis tests despite incorrectly specified models. Zbl 1172.62058
Rosenblum, Michael; van der Laan, Mark J.
2009
Optimizing randomized trial designs to distinguish which subpopulations benefit from treatment. Zbl 1228.62148
Rosenblum, M.; Van der Laan, M. J.
2011
Time series analysis for system identification and diagnostics. Zbl 0717.92002
Landa, P. S.; Rosenblum, M. G.
1991
On-off intermittency phenomena in a pendulum with a randomly vibrating suspension axis. Zbl 0963.70559
Landa, P. S.; Zaikin, A. A.; Rosenblum, M. G.; Kurths, J.
1998
Quantitative analysis of cardiorespiratory synchronization in infants. Zbl 1002.92521
Mrowka, Ralf; Patzak, Andreas; Rosenblum, Michael
2000
Analysis of bivariate coupling by means of recurrence. Zbl 1272.37034
Bandt, Christoph; Groth, Andreas; Marwan, Norbert; Romano, M. Carmen; Thiel, Marco; Rosenblum, Michael; Kurths, Jürgen
2008
Optimal tests of treatment effects for the overall population and two subpopulations in randomized trials, using sparse linear programming. Zbl 1368.62291
Rosenblum, Michael; Liu, Han; Yen, En-Hsu
2014
A characteristic frequency of chaotic dynamical system. Zbl 0794.34030
Rosenblum, M. G.
1993
Detection of phase locking from noisy data: Application to magnetoencephalography. Zbl 0957.92026
Rosenblum, Michael; Tass, Peter; Kurths, Jürgen; Volkmann, Jens; Schnitzler, Alfons; Freund, Hans-Joachim
2000
A simple test for hidden periodicity in time series data. Zbl 0886.58079
Rosenblum, Michael; Kurths, Jürgen
1995
Modeling qualitative changes in bimanual movements. Zbl 0918.92033
Scheffczyk, C.; Zaikin, A.; Rosenblum, M.; Engbert, R.; Krampe, R.; Kurths, J.
1997
Delay induced patterns of visually guided movements. Zbl 1045.91510
Tass, Peter; Rosenblum, Michael; Guasti, Giovanna; Kurths, Jürgen; Hefter, Harald
1998
Phase synchronization of regular and chaotic oscillators. Zbl 1098.37554
Pikovsky, A. S.; Rosenblum, M. G.; Zaks, M. A.; Kurths, J.
1999
Efficient determination of synchronization domains from observations of asynchronous dynamics. Zbl 1400.34073
Rosenblum, Michael; Pikovsky, Arkady
2018
Reinforcement learning for suppression of collective activity in oscillatory ensembles. Zbl 1435.92005
Krylov, Dmitrii; Dylov, Dmitry V.; Rosenblum, Michael
2020
Enhanced precision in the analysis of randomized trials with ordinal outcomes. Zbl 1419.62339
Díaz, Iván; Colantuoni, Elizabeth; Rosenblum, Michael
2016
On possible inaccuracy in quantification of chaotic motion. Zbl 0764.34029
Landa, P. S.; Rosenblum, M. G.
1992
Nonlinear analysis of the cardiorespiratory coordination in a newborn piglet. Zbl 1045.92504
Hoyer, Dirk; Bauer, Reinhard; Pompe, Bernd; Palus, Milan; Żebrowski, Jan J.; Rosenblum, Michael; Zwiener, Ulrich
1998
Human postural control: Force plate experiments and modelling. Zbl 1045.92503
Rosenblum, Michael; Firsov, Georgy; Kuuz, Robert; Pompe, Bernd
1998
Collective phase chaos in the dynamics of interacting oscillator ensembles. Zbl 1311.34079
Kuznetsov, Sergey P.; Pikovsky, Arkady; Rosenblum, Michael
2010
Wavelets in medicine and physiology. Zbl 1050.92033
Ivanov, P. Ch.; Goldberger, A. L.; Havlin, S.; Peng, C.-K.; Rosenblum, M. G.; Stanley, H. E.
2004
Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia. Zbl 1462.92033
Rosenblum, M.; Frühwirth, M.; Moser, M.; Pikovsky, A.
2019
Improved precision in the analysis of randomized trials with survival outcomes, without assuming proportional hazards. Zbl 1429.62517
Díaz, Iván; Colantuoni, Elizabeth; Hanley, Daniel F.; Rosenblum, Michael
2019
Controlling collective synchrony in oscillatory ensembles by precisely timed pulses. Zbl 1451.34084
Rosenblum, Michael
2020
Reinforcement learning for suppression of collective activity in oscillatory ensembles. Zbl 1435.92005
Krylov, Dmitrii; Dylov, Dmitry V.; Rosenblum, Michael
2020
Controlling collective synchrony in oscillatory ensembles by precisely timed pulses. Zbl 1451.34084
Rosenblum, Michael
2020
Numerical phase reduction beyond the first order approximation. Zbl 1406.34076
Rosenblum, Michael; Pikovsky, Arkady
2019
Solitary states and partial synchrony in oscillatory ensembles with attractive and repulsive interactions. Zbl 1423.34061
Teichmann, Erik; Rosenblum, Michael
2019
Dynamical disentanglement in an analysis of oscillatory systems: an application to respiratory sinus arrhythmia. Zbl 1462.92033
Rosenblum, M.; Frühwirth, M.; Moser, M.; Pikovsky, A.
2019
Improved precision in the analysis of randomized trials with survival outcomes, without assuming proportional hazards. Zbl 1429.62517
Díaz, Iván; Colantuoni, Elizabeth; Hanley, Daniel F.; Rosenblum, Michael
2019
Efficient determination of synchronization domains from observations of asynchronous dynamics. Zbl 1400.34073
Rosenblum, Michael; Pikovsky, Arkady
2018
Dynamics of weakly inhomogeneous oscillator populations: perturbation theory on top of Watanabe-Strogatz integrability. Zbl 1347.34055
2016
Enhanced precision in the analysis of randomized trials with ordinal outcomes. Zbl 1419.62339
Díaz, Iván; Colantuoni, Elizabeth; Rosenblum, Michael
2016
Dynamics of globally coupled oscillators: progress and perspectives. Zbl 1374.34001
Pikovsky, Arkady; Rosenblum, Michael
2015
Optimal tests of treatment effects for the overall population and two subpopulations in randomized trials, using sparse linear programming. Zbl 1368.62291
Rosenblum, Michael; Liu, Han; Yen, En-Hsu
2014
Synchrony suppression in ensembles of coupled oscillators via adaptive vanishing feedback. Zbl 1323.34072
2013
Dynamics of heterogeneous oscillator ensembles in terms of collective variables. Zbl 1233.37014
Pikovsky, Arkady; Rosenblum, Michael
2011
Reconstructing phase dynamics of oscillator networks. Zbl 1317.34057
Kralemann, Björn; Pikovsky, Arkady; Rosenblum, Michael
2011
Optimizing randomized trial designs to distinguish which subpopulations benefit from treatment. Zbl 1228.62148
Rosenblum, M.; Van der Laan, M. J.
2011
Collective phase chaos in the dynamics of interacting oscillator ensembles. Zbl 1311.34079
Kuznetsov, Sergey P.; Pikovsky, Arkady; Rosenblum, Michael
2010
Self-organized partially synchronous dynamics in populations of nonlinearly coupled oscillators. Zbl 1153.37403
Pikovsky, Arkady; Rosenblum, Michael
2009
Using regression models to analyze randomized trials: asymptotically valid hypothesis tests despite incorrectly specified models. Zbl 1172.62058
Rosenblum, Michael; van der Laan, Mark J.
2009
Analysis of bivariate coupling by means of recurrence. Zbl 1272.37034
Bandt, Christoph; Groth, Andreas; Marwan, Norbert; Romano, M. Carmen; Thiel, Marco; Rosenblum, Michael; Kurths, Jürgen
2008
Delayed feedback suppression of collective rhythmic activity in a neuronal ensemble. Zbl 1154.92307
Rosenblum, Michael; Tukhlina, Natalia; Pikovsky, Arkady; Cimponeriu, Laura
2006
Wavelets in medicine and physiology. Zbl 1050.92033
Ivanov, P. Ch.; Goldberger, A. L.; Havlin, S.; Peng, C.-K.; Rosenblum, M. G.; Stanley, H. E.
2004
Synchronization: a universal concept in nonlinear sciences. Reprint of the 2001 hardback edition. Zbl 1219.37002
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
2003
Coherence of noisy oscillators with delayed feedback. Zbl 1031.37074
Goldobin, D.; Rosenblum, M.; Pikovsky, A.
2003
Synchronization: a universal concept in nonlinear sciences. Zbl 0993.37002
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
2001
From $$1/f$$ noise to multifractal cascades in heartbeat dynamics. Zbl 0990.92024
Ivanov, Plamen Ch.; Amaral, Luís A. Nunes; Goldberger, Ary L.; Havlin, Shlomo; Rosenblum, Michael G.; Stanley, H. Eugene; Struzik, Zbigniew R.
2001
Phase synchronization in regular and chaotic systems. Zbl 1090.37508
Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
2000
Quantitative analysis of cardiorespiratory synchronization in infants. Zbl 1002.92521
Mrowka, Ralf; Patzak, Andreas; Rosenblum, Michael
2000
Detection of phase locking from noisy data: Application to magnetoencephalography. Zbl 0957.92026
Rosenblum, Michael; Tass, Peter; Kurths, Jürgen; Volkmann, Jens; Schnitzler, Alfons; Freund, Hans-Joachim
2000
Phase synchronization of regular and chaotic oscillators. Zbl 1098.37554
Pikovsky, A. S.; Rosenblum, M. G.; Zaks, M. A.; Kurths, J.
1999
Analysing synchronization phenomena from bivariate data by means of the Hilbert transform. Zbl 1045.92510
Rosenblum, Michael; Kurths, Jürgen
1998
On-off intermittency phenomena in a pendulum with a randomly vibrating suspension axis. Zbl 0963.70559
Landa, P. S.; Zaikin, A. A.; Rosenblum, M. G.; Kurths, J.
1998
Delay induced patterns of visually guided movements. Zbl 1045.91510
Tass, Peter; Rosenblum, Michael; Guasti, Giovanna; Kurths, Jürgen; Hefter, Harald
1998
Nonlinear analysis of the cardiorespiratory coordination in a newborn piglet. Zbl 1045.92504
Hoyer, Dirk; Bauer, Reinhard; Pompe, Bernd; Palus, Milan; Żebrowski, Jan J.; Rosenblum, Michael; Zwiener, Ulrich
1998
Human postural control: Force plate experiments and modelling. Zbl 1045.92503
Rosenblum, Michael; Firsov, Georgy; Kuuz, Robert; Pompe, Bernd
1998
Phase synchronization of chaotic oscillators by external driving. Zbl 0898.70015
Pikovsky, Arkady S.; Rosenblum, Michael G.; Osipov, Grigory V.; Kurths, Jürgen
1997
Phase synchronization in noisy and chaotic oscillators. Zbl 0896.60090
Rosenblum, Michael; Pikovsky, Arkady; Kurths, Jürgen
1997
Phase synchronization of chaotic oscillations in terms of periodic orbits. Zbl 0933.37034
Pikovsky, Arkady; Zaks, Michael; Rosenblum, Michael; Osipov, Grigory; Kurths, Jürgen
1997
Modeling qualitative changes in bimanual movements. Zbl 0918.92033
Scheffczyk, C.; Zaikin, A.; Rosenblum, M.; Engbert, R.; Krampe, R.; Kurths, J.
1997
Synchronization and chaotization phenomena in oscillatory and rotatory dynamical systems. Zbl 0839.34040
Blekhman, I. I.; Landa, P. S.; Rosenblum, M. G.
1995
A simple test for hidden periodicity in time series data. Zbl 0886.58079
Rosenblum, Michael; Kurths, Jürgen
1995
A characteristic frequency of chaotic dynamical system. Zbl 0794.34030
Rosenblum, M. G.
1993
On possible inaccuracy in quantification of chaotic motion. Zbl 0764.34029
Landa, P. S.; Rosenblum, M. G.
1992
Time series analysis for system identification and diagnostics. Zbl 0717.92002
Landa, P. S.; Rosenblum, M. G.
1991
all top 5

### Cited by 2,161 Authors

 238 Chaos 93 Chaos, Solitons and Fractals 93 Physica D 60 Nonlinear Dynamics 54 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 52 Physics Letters. A 50 Communications in Nonlinear Science and Numerical Simulation 26 Journal of Statistical Physics 24 Physica A 24 SIAM Journal on Applied Dynamical Systems 19 Biological Cybernetics 18 Journal of Fluid Mechanics 18 Mathematical Problems in Engineering 14 Journal of Nonlinear Science 13 Physics Reports 12 Automatica 11 International Journal of Modern Physics B 11 Quarterly of Applied Mathematics 10 Journal of Differential Equations 10 Advances in Difference Equations 9 Journal of Mathematical Biology 9 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 8 Journal of Mathematical Physics 8 Journal of Computational Neuroscience 8 Journal of Theoretical Biology 7 Regular and Chaotic Dynamics 7 Nonlinear Analysis. Real World Applications 6 Journal of the Franklin Institute 6 Nonlinearity 6 Applied Mathematics and Computation 6 Neural Networks 5 Mathematical Biosciences 5 Mathematics and Computers in Simulation 5 Systems & Control Letters 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Applied Mathematics 5 New Journal of Physics 5 The European Physical Journal B. Condensed Matter and Complex Systems 5 Networks and Heterogeneous Media 5 The Journal of Mathematical Neuroscience 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Bulletin of Mathematical Biology 4 Applied Mathematical Modelling 4 Automation and Remote Control 4 SIAM Journal on Mathematical Analysis 4 Abstract and Applied Analysis 4 Journal of Applied Mathematics 4 Mathematical Modelling of Natural Phenomena 3 Communications in Mathematical Physics 3 Theoretical and Mathematical Physics 3 The Annals of Statistics 3 Biometrics 3 Applied Mathematics and Mechanics. (English Edition) 3 Statistical Science 3 Mathematical and Computer Modelling 3 Neural Computation 3 Linear Algebra and its Applications 3 Proceedings of the National Academy of Sciences of the United States of America 3 Journal of Mathematical Sciences (New York) 3 Physical Review E. Third Series 3 Computational & Mathematical Methods in Medicine 3 Journal of Applied Nonlinear Dynamics 3 Russian Journal of Nonlinear Dynamics 2 Modern Physics Letters B 2 Acta Mechanica 2 Computers and Fluids 2 International Journal of Control 2 International Journal of Circuit Theory and Applications 2 Journal of Statistical Planning and Inference 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Dynamics and Stability of Systems 2 Journal of Dynamics and Differential Equations 2 Fractals 2 NoDEA. Nonlinear Differential Equations and Applications 2 Complexity 2 Discrete and Continuous Dynamical Systems 2 Doklady Mathematics 2 Journal of Shanghai University 2 Discrete Dynamics in Nature and Society 2 International Journal of Modern Physics C 2 Differentsial’nye Uravneniya i Protsessy Upravleniya 2 Analysis and Applications (Singapore) 2 Journal of Statistical Mechanics: Theory and Experiment 2 Acta Mechanica Sinica 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Mathematical Physics 2 Journal of Control Science and Engineering 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Discrete Applied Mathematics 1 Fluid Dynamics 1 International Journal of Heat and Mass Transfer 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Psychometrika 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik ...and 85 more Serials