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Rabinovich, Mikhail I.

Author ID: rabinovich.mikhail-i Recent zbMATH articles by "Rabinovich, Mikhail I."
Published as: Rabinovich, M. I.; Rabinovich, Mikhail I.; Rabinovich, Mikhail; Rabinovich, M.
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Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 346 times in 260 Documents Cited by Year
Heteroclinic contours in neural ensembles and the winnerless competition principle. Zbl 1099.37518
Afraimovich, Valentin S.; Rabinovich, Mikhail I.; Varona, Pablo
38
2004
Oscillations and waves in linear and nonlinear systems. Transl. from the Russian by R. N. Hainsworth. Enlarged and rev. ed. Zbl 0712.70001
Rabinovich, M. I.; Trubetskov, D. I.
36
1989
On the origin of reproducible sequential activity in neural circuits. Zbl 1080.37100
Afraimovich, V. S.; Zhigulin, V. P.; Rabinovich, M. I.
34
2004
Cooperative behavior of a chain of synaptically coupled chaotic neurons. Zbl 0917.92004
Bazhenov, M.; Huerta, R.; Rabinovich, M. I.; Sejnowski, T.
21
1998
The dynamics of patterns. Zbl 1043.37513
Rabinovich, M. I.; Ezersky, A. B.; Weidman, P. D.
20
2000
Winnerless competition between sensory neurons generates chaos: a possible mechanism for molluscan hunting behavior. Zbl 1080.92521
Varona, Pablo; Rabinovich, Mikhail I.; Selverston, Allen I.; Arshavsky, Yuri I.
14
2002
Stable particle-like solutions of multidimensional nonlinear fields. Zbl 0719.35074
Aranson, I. S.; Gorshkov, K. A.; Lomov, A. S.; Rabinovich, M. I.
13
1990
The onset and spatial development of turbulence in flow systems. Zbl 0655.76045
Aranson, I. S.; Gaponov-Grekhov, A. V.; Rabinovich, M. I.
13
1988
Biophysical model of synaptic plasticity dynamics. Zbl 1094.92010
Abarbanel, Henry D. I.; Gibb, Leif; Huerta, R.; Rabinovich, M. I.
12
2003
Learning classification in the olfactory system of insects. Zbl 1053.92011
Huerta, Ramón; Nowotny, Thomas; García-Sanchez, Marta; Abarbanel, H. D. I.; Rabinovich, M. I.
12
2004
Winnerless competition principle and prediction of the transient dynamics in a Lotka-Volterra model. Zbl 1309.92064
Afraimovich, Valentin; Tristan, Irma; Huerta, Ramon; Rabinovich, Mikhail I.
12
2008
Deterministic chaos. An introduction. (Determinirovannyj khaos. Vvedenie). Transl. from the English by F. M. Izrajlev, M. I. Malkin and A. M. Rejman Transl. ed. and with a foreword by A. V. Gaponov-Grekhov and M. I. Rabinovich. (Determinirovannyj khaos. Vvedenie.) Zbl 0707.58002
Schuster, Heinz Georg
11
1988
Self-organization in the olfactory system: one shot odor recognition in insects. Zbl 1132.92321
Nowotny, Thomas; Huerta, Ramón; Abarbanel, Henry D. I.; Rabinovich, Mikhail I.
11
2005
Nonlinear waves 1. Dynamics and evolution. Transl. from the Russian. Zbl 0677.76001
10
1989
Heteroclinic binding. Zbl 1204.37089
Rabinovich, Mikhail I.; Afraimovich, Valentin S.; Varona, Pablo
9
2010
Generation and reshaping of sequences in neural systems. Zbl 1114.92016
Rabinovich, Mikhail I.; Huerta, Ramón; Varona, Pablo; Afraimovich, Valentin S.
9
2006
Stochastic oscillations in dissipative systems. Zbl 1194.37062
Pikovsky, Arkady S.; Rabinovich, Mikhail I.
7
1981
Dynamics of spiral waves in non-equilibrium media. Zbl 0708.35092
Aranson, I. S.; Rabinovich, M. I.
6
1990
Stability of spatially homogeneous chaotic regimes in unidirectional chains. Zbl 0712.58041
Aranson, I. S.; Afrajmovich, V. S.; Rabinovich, M. I.
6
1990
Mind-to-mind heteroclinic coordination: model of sequential episodic memory initiation. Zbl 1414.37035
Afraimovich, V. S.; Zaks, M. A.; Rabinovich, M. I.
6
2018
Stochastic behavior of dissipative systems. Zbl 0545.70032
Pikovskij, A. S.; Rabinovich, M. I.
6
1981
On the occurrence of stable heteroclinic channels in Lotka-Volterra models. Zbl 1196.34076
Bick, Christian; Rabinovich, Mikhail I.
6
2010
Sequential memory: binding dynamics. Zbl 1374.92022
Afraimovich, Valentin; Gong, Xue; Rabinovich, Mikhail
6
2015
Distribution of mutual information. Zbl 0983.37102
Abarbanel, Henry D. I.; Masuda, Naoki; Rabinovich, M. I.; Tumer, Evren
5
2001
Nonlinearities in action. Oscillations, chaos, order, fractals. Zbl 0776.70001
4
1992
Hierarchical heteroclinics in dynamical model of cognitive processes: chunking. Zbl 1302.92016
Afraimovich, Valentin S.; Young, Todd R.; Rabinovich, Mikhail I.
4
2014
Nonlinear dynamics of emotion-cognition interaction: When emotion does not destroy cognition? Zbl 1221.92016
Afraimovich, Valentin; Young, Todd; Muezzinoglu, Mehmet K.; Rabinovich, Mikhail I.
3
2011
Nonlinear cooperative dynamics of living neurons. Zbl 1090.92506
Rabinovich, Mikhail I.; Varona, Pablo; Abarbanel, Henry D. I.
3
2000
Synchronized disorder in a 2D complex Ginzburg-Landau equation. Zbl 0816.35126
Bazhenov, M.; Rabinovich, M.
3
1994
Asymptotic methods of solving nonlinear partial differential equations. Zbl 0255.35020
Rabinovich, M. I.; Rozenblyum, A. A.
3
1972
Transient dynamics in complex systems: heteroclinic sequence with multidimensional unstable manifolds. Zbl 1334.37019
Afraimovich, Valentin; Tristan, Irma; Varona, Pablo; Rabinovich, Mikhail
2
2013
Dynamical description of spatial disorder. Zbl 1194.37129
Afraimovich, V. S.; Ezersky, A. B.; Rabinovich, M. I.; Shereshevsky, M. A.; Zheleznyak, A. L.
2
1992
Chaotic scattering of two-dimensional solitons. Zbl 0779.35100
Gorshkov, K. A.; Lomov, A. S.; Rabinovich, M. I.
2
1992
Soliton trains and I-V characteristics of long Josephson junctions. Zbl 0889.35092
Maksimov, A. G.; Nekorkin, V. I.; Rabinovich, M. I.
2
1995
Nonlinear waves 3. Physics and astrophysics. Proceedings of the 9th all- union school on nonlinear physics, Gorky School, held in March 1989 in Gorky, USSR. Zbl 0713.00022
1
1990
Complex spatiotemporal dynamics of chain models for flow systems. Zbl 0805.58045
Afraimovich, V. S.; Rabinovich, M. I.
1
1993
Spatio-temporal patterns of network activity in the inferior olive. Zbl 1007.68833
Varona, Pablo; Aguirre, Carlos; Torres, Joaquín J.; Abarbanel, Henry D. I.; Rabinovich, Mikhail I.
1
2002
Strange attractors in modern physics. Zbl 0475.58012
Rabinovich, M. I.
1
1980
On asymptotic methods in nonlinear oscillation theory of distributed systems. Zbl 0228.35010
Gaponov, A. V.; Ostrovskij, L. A.; Rabinovich, M. I.
1
1970
Stochastization of coherent structures by a periodic field. Zbl 0476.76052
Aranson, I. S.; Rabinovich, M. I.; Sushchik, M. M.
1
1981
Dynamical synaptic plasticity: a model and connection to some experiments. Zbl 1075.92025
Whitehead, A.; Rabinovich, M. I.; Huerta, R.; Zhigulin, V. P.; Abarbanel, Henry D. I.
1
2003
The diversity of steady state solutions of the complex Ginzburg-Landau equation. Zbl 0972.35540
Bazhenov, M.; Bohr, T.; Gorshkov, K.; Rabinovich, M.
1
1996
Timing control by redundant inhibitory neuronal circuits. Zbl 1374.92020
Tristan, I.; Rulkov, N. F.; Huerta, R.; Rabinovich, M.
1
2014
Mind-to-mind heteroclinic coordination: model of sequential episodic memory initiation. Zbl 1414.37035
Afraimovich, V. S.; Zaks, M. A.; Rabinovich, M. I.
6
2018
Sequential memory: binding dynamics. Zbl 1374.92022
Afraimovich, Valentin; Gong, Xue; Rabinovich, Mikhail
6
2015
Hierarchical heteroclinics in dynamical model of cognitive processes: chunking. Zbl 1302.92016
Afraimovich, Valentin S.; Young, Todd R.; Rabinovich, Mikhail I.
4
2014
Timing control by redundant inhibitory neuronal circuits. Zbl 1374.92020
Tristan, I.; Rulkov, N. F.; Huerta, R.; Rabinovich, M.
1
2014
Transient dynamics in complex systems: heteroclinic sequence with multidimensional unstable manifolds. Zbl 1334.37019
Afraimovich, Valentin; Tristan, Irma; Varona, Pablo; Rabinovich, Mikhail
2
2013
Nonlinear dynamics of emotion-cognition interaction: When emotion does not destroy cognition? Zbl 1221.92016
Afraimovich, Valentin; Young, Todd; Muezzinoglu, Mehmet K.; Rabinovich, Mikhail I.
3
2011
Heteroclinic binding. Zbl 1204.37089
Rabinovich, Mikhail I.; Afraimovich, Valentin S.; Varona, Pablo
9
2010
On the occurrence of stable heteroclinic channels in Lotka-Volterra models. Zbl 1196.34076
Bick, Christian; Rabinovich, Mikhail I.
6
2010
Winnerless competition principle and prediction of the transient dynamics in a Lotka-Volterra model. Zbl 1309.92064
Afraimovich, Valentin; Tristan, Irma; Huerta, Ramon; Rabinovich, Mikhail I.
12
2008
Generation and reshaping of sequences in neural systems. Zbl 1114.92016
Rabinovich, Mikhail I.; Huerta, Ramón; Varona, Pablo; Afraimovich, Valentin S.
9
2006
Self-organization in the olfactory system: one shot odor recognition in insects. Zbl 1132.92321
Nowotny, Thomas; Huerta, Ramón; Abarbanel, Henry D. I.; Rabinovich, Mikhail I.
11
2005
Heteroclinic contours in neural ensembles and the winnerless competition principle. Zbl 1099.37518
Afraimovich, Valentin S.; Rabinovich, Mikhail I.; Varona, Pablo
38
2004
On the origin of reproducible sequential activity in neural circuits. Zbl 1080.37100
Afraimovich, V. S.; Zhigulin, V. P.; Rabinovich, M. I.
34
2004
Learning classification in the olfactory system of insects. Zbl 1053.92011
Huerta, Ramón; Nowotny, Thomas; García-Sanchez, Marta; Abarbanel, H. D. I.; Rabinovich, M. I.
12
2004
Biophysical model of synaptic plasticity dynamics. Zbl 1094.92010
Abarbanel, Henry D. I.; Gibb, Leif; Huerta, R.; Rabinovich, M. I.
12
2003
Dynamical synaptic plasticity: a model and connection to some experiments. Zbl 1075.92025
Whitehead, A.; Rabinovich, M. I.; Huerta, R.; Zhigulin, V. P.; Abarbanel, Henry D. I.
1
2003
Winnerless competition between sensory neurons generates chaos: a possible mechanism for molluscan hunting behavior. Zbl 1080.92521
Varona, Pablo; Rabinovich, Mikhail I.; Selverston, Allen I.; Arshavsky, Yuri I.
14
2002
Spatio-temporal patterns of network activity in the inferior olive. Zbl 1007.68833
Varona, Pablo; Aguirre, Carlos; Torres, Joaquín J.; Abarbanel, Henry D. I.; Rabinovich, Mikhail I.
1
2002
Distribution of mutual information. Zbl 0983.37102
Abarbanel, Henry D. I.; Masuda, Naoki; Rabinovich, M. I.; Tumer, Evren
5
2001
The dynamics of patterns. Zbl 1043.37513
Rabinovich, M. I.; Ezersky, A. B.; Weidman, P. D.
20
2000
Nonlinear cooperative dynamics of living neurons. Zbl 1090.92506
Rabinovich, Mikhail I.; Varona, Pablo; Abarbanel, Henry D. I.
3
2000
Cooperative behavior of a chain of synaptically coupled chaotic neurons. Zbl 0917.92004
Bazhenov, M.; Huerta, R.; Rabinovich, M. I.; Sejnowski, T.
21
1998
The diversity of steady state solutions of the complex Ginzburg-Landau equation. Zbl 0972.35540
Bazhenov, M.; Bohr, T.; Gorshkov, K.; Rabinovich, M.
1
1996
Soliton trains and I-V characteristics of long Josephson junctions. Zbl 0889.35092
Maksimov, A. G.; Nekorkin, V. I.; Rabinovich, M. I.
2
1995
Synchronized disorder in a 2D complex Ginzburg-Landau equation. Zbl 0816.35126
Bazhenov, M.; Rabinovich, M.
3
1994
Complex spatiotemporal dynamics of chain models for flow systems. Zbl 0805.58045
Afraimovich, V. S.; Rabinovich, M. I.
1
1993
Nonlinearities in action. Oscillations, chaos, order, fractals. Zbl 0776.70001
4
1992
Dynamical description of spatial disorder. Zbl 1194.37129
Afraimovich, V. S.; Ezersky, A. B.; Rabinovich, M. I.; Shereshevsky, M. A.; Zheleznyak, A. L.
2
1992
Chaotic scattering of two-dimensional solitons. Zbl 0779.35100
Gorshkov, K. A.; Lomov, A. S.; Rabinovich, M. I.
2
1992
Stable particle-like solutions of multidimensional nonlinear fields. Zbl 0719.35074
Aranson, I. S.; Gorshkov, K. A.; Lomov, A. S.; Rabinovich, M. I.
13
1990
Dynamics of spiral waves in non-equilibrium media. Zbl 0708.35092
Aranson, I. S.; Rabinovich, M. I.
6
1990
Stability of spatially homogeneous chaotic regimes in unidirectional chains. Zbl 0712.58041
Aranson, I. S.; Afrajmovich, V. S.; Rabinovich, M. I.
6
1990
Nonlinear waves 3. Physics and astrophysics. Proceedings of the 9th all- union school on nonlinear physics, Gorky School, held in March 1989 in Gorky, USSR. Zbl 0713.00022
1
1990
Oscillations and waves in linear and nonlinear systems. Transl. from the Russian by R. N. Hainsworth. Enlarged and rev. ed. Zbl 0712.70001
Rabinovich, M. I.; Trubetskov, D. I.
36
1989
Nonlinear waves 1. Dynamics and evolution. Transl. from the Russian. Zbl 0677.76001
10
1989
The onset and spatial development of turbulence in flow systems. Zbl 0655.76045
Aranson, I. S.; Gaponov-Grekhov, A. V.; Rabinovich, M. I.
13
1988
Deterministic chaos. An introduction. (Determinirovannyj khaos. Vvedenie). Transl. from the English by F. M. Izrajlev, M. I. Malkin and A. M. Rejman Transl. ed. and with a foreword by A. V. Gaponov-Grekhov and M. I. Rabinovich. (Determinirovannyj khaos. Vvedenie.) Zbl 0707.58002
Schuster, Heinz Georg
11
1988
Stochastic oscillations in dissipative systems. Zbl 1194.37062
Pikovsky, Arkady S.; Rabinovich, Mikhail I.
7
1981
Stochastic behavior of dissipative systems. Zbl 0545.70032
Pikovskij, A. S.; Rabinovich, M. I.
6
1981
Stochastization of coherent structures by a periodic field. Zbl 0476.76052
Aranson, I. S.; Rabinovich, M. I.; Sushchik, M. M.
1
1981
Strange attractors in modern physics. Zbl 0475.58012
Rabinovich, M. I.
1
1980
Asymptotic methods of solving nonlinear partial differential equations. Zbl 0255.35020
Rabinovich, M. I.; Rozenblyum, A. A.
3
1972
On asymptotic methods in nonlinear oscillation theory of distributed systems. Zbl 0228.35010
Gaponov, A. V.; Ostrovskij, L. A.; Rabinovich, M. I.
1
1970
all top 5

Cited by 518 Authors

17 Rabinovich, Mikhail I.
12 Ashwin, Peter
11 Afraimovich, Valentin S.
10 Huerta, Ramón
7 Postlethwaite, Claire M.
6 Kuznetsov, Sergey P.
5 Nowotny, Thomas
4 Abarbanel, Henry D. I.
4 Aranson, Igor S.
4 Lerman, Lev
4 Nekorkin, Vladimir I.
4 Osipov, Grigory V.
4 Tlidi, Mustapha
3 beim Graben, Peter
3 Clerc, Marcel G.
3 Lefever, René
3 Makarov, Valeri A.
3 Nepomnyashchy, Alexander A.
3 Reutov, Vladimir P.
3 Rodríguez, Francisco B.
3 Sysoev, Il’ya Vyacheslavovich
3 Talathi, Sachin S.
3 Varona, Pablo
3 Wang, Xingyuan
3 Young, Todd R.
2 Aguareles, Maria
2 Aristov, Anatoliĭ Igorevich
2 Barrio, Rafael Álvarez-Nóvoa
2 Bayliss, Alvin
2 Borisov, Alekseĭ Vladimirovich
2 Bowong, Samuel
2 Carney, Paul R.
2 Castro, Sofia B. S. D.
2 Chapman, Stephen Jonathan
2 Chua, Leon Ong
2 d’Anjou, Alicia
2 Dodin, I. Y.
2 Falcioni, Massimo
2 Fisch, Nathaniel J.
2 Glebsky, Lev Yu.
2 Graña, Manuel
2 Grines, Evgeny A.
2 Holden, Arun V.
2 Horikawa, Yo
2 Itoh, Makoto
2 Ivanchenko, Mikhail V.
2 Kaneko, Kunihiko
2 Kapitaniak, Tomasz
2 Kashchenko, Sergeĭ Aleksandrovich
2 Kazantsev, Victor B.
2 Khargonekar, Pramod P.
2 Komarov, Maxim A.
2 Kulagin, Nikolay E.
2 Levanova, Tatiana A.
2 Liang, X. San
2 Luo, Chao
2 Meyer-Ortmanns, Hildegard
2 Moujahid, Abdelmalik
2 Muezzinoglu, Mehmet K.
2 Pikovsky, Arkady S.
2 Pochinka, Ol’ga Vital’evna
2 Potthast, Roland W. E.
2 Rodrigues, Alexandre A. P.
2 Rybushkina, Galina V.
2 Sarasola, Cecilia
2 Sataev, Igor’ Rustamovich
2 Sedova, Yuliya Viktorovna
2 Selverston, Allen I.
2 Shrira, Victor I.
2 Sysoeva, Marina V.
2 Talanova, Elena A.
2 Thomas, Peter J.
2 Torrealdea, Francisco J.
2 Velarde, Manuel G.
2 Vladimirov, Andrei G.
2 Voit, Maximilian
2 Vulpiani, Angelo
2 Webb, Barbara
2 Wessnitzer, Jan
2 Witelski, Thomas P.
1 Abdou, Mohamed Aly Mohamed
1 Aguiar, Manuela A. D.
1 Ahlers, Guenter
1 Aihara, Kazuyuki
1 Ajayi, A. Ayotunde
1 Akhromeeva, T. S.
1 Albert, Carlo
1 Almaraz, Pablo
1 Alvarez-Ramirez, Jose
1 Amigó, José María
1 Anishchenko, Vadim Semenovich
1 Annenkov, Sergei Yu.
1 Antillon, Armando
1 Antonopoulos, Chris G.
1 Arena, Paolo
1 Armstrong, J. Douglas
1 Astakhov, Oleg V.
1 Astakhov, Sergey V.
1 Astakhov, Vladimir V.
1 Ayers, Joseph
...and 418 more Authors
all top 5

Cited in 77 Serials

38 Physica D
28 Chaos
12 Biological Cybernetics
12 Chaos, Solitons and Fractals
10 Physics Letters. A
10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Communications in Nonlinear Science and Numerical Simulation
8 Neural Computation
8 Regular and Chaotic Dynamics
7 Journal of Computational Neuroscience
7 Journal of Theoretical Biology
6 Journal of Applied Mathematics and Mechanics
5 Journal of Mathematical Biology
5 Dynamical Systems
4 Neural Networks
4 Journal of Nonlinear Science
4 Nonlinear Dynamics
3 Journal of the Franklin Institute
3 Wave Motion
3 European Journal of Mechanics. B. Fluids
3 SIAM Journal on Applied Dynamical Systems
2 International Journal of Modern Physics B
2 Computers & Mathematics with Applications
2 Journal of Statistical Physics
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Physics Reports
2 Applied Mathematics and Computation
2 Computational Mathematics and Mathematical Physics
2 International Applied Mechanics
2 Mathematical Modelling of Natural Phenomena
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Physica A
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Physics of Fluids, A
1 Bulletin of Mathematical Biology
1 Journal of Geometry and Physics
1 International Journal of Circuit Theory and Applications
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Circuits, Systems, and Signal Processing
1 Applied Mathematics and Mechanics. (English Edition)
1 Applied Mathematical Modelling
1 SIAM Journal on Applied Mathematics
1 Russian Mathematics
1 Journal of Computer and Systems Sciences International
1 Physics of Fluids
1 Journal of Mathematical Sciences (New York)
1 Sbornik: Mathematics
1 Doklady Mathematics
1 Journal of Applied Mechanics and Technical Physics
1 Russian Physics Journal
1 Lobachevskii Journal of Mathematics
1 International Journal of Modern Physics C
1 Physical Review Letters
1 Journal of Nonlinear Mathematical Physics
1 Discrete and Continuous Dynamical Systems. Series B
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Advances in Complex Systems
1 Communications on Pure and Applied Analysis
1 Theoretical and Applied Mechanics
1 Advances in Difference Equations
1 Proceedings of the Steklov Institute of Mathematics
1 Eurasian Mathematical Journal
1 The Journal of Mathematical Neuroscience
1 Journal of Applied Nonlinear Dynamics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Nonlinear Dynamics
1 Philosophical Transactions A. Royal Society of London
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applied Mathematics and Nonlinear Sciences

Citations by Year

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