Heteroclinic contours in neural ensembles and the winnerless competition principle. Zbl 1099.37518
Afraimovich, Valentin S.; Rabinovich, Mikhail I.; Varona, Pablo |
|
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. |
|
1989
|
On the origin of reproducible sequential activity in neural circuits. Zbl 1080.37100
Afraimovich, V. S.; Zhigulin, V. P.; Rabinovich, M. I. |
|
2004
|
Cooperative behavior of a chain of synaptically coupled chaotic neurons. Zbl 0917.92004
Bazhenov, M.; Huerta, R.; Rabinovich, M. I.; Sejnowski, T. |
|
1998
|
The dynamics of patterns. Zbl 1043.37513
Rabinovich, M. I.; Ezersky, A. B.; Weidman, P. D. |
|
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. |
|
2002
|
Stable particle-like solutions of multidimensional nonlinear fields. Zbl 0719.35074
Aranson, I. S.; Gorshkov, K. A.; Lomov, A. S.; Rabinovich, M. I. |
|
1990
|
The onset and spatial development of turbulence in flow systems. Zbl 0655.76045
Aranson, I. S.; Gaponov-Grekhov, A. V.; Rabinovich, M. I. |
|
1988
|
Biophysical model of synaptic plasticity dynamics. Zbl 1094.92010
Abarbanel, Henry D. I.; Gibb, Leif; Huerta, R.; Rabinovich, M. I. |
|
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. |
|
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. |
|
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 |
|
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. |
|
2005
|
Nonlinear waves 1. Dynamics and evolution. Transl. from the Russian. Zbl 0677.76001
|
|
1989
|
Heteroclinic binding. Zbl 1204.37089
Rabinovich, Mikhail I.; Afraimovich, Valentin S.; Varona, Pablo |
|
2010
|
Generation and reshaping of sequences in neural systems. Zbl 1114.92016
Rabinovich, Mikhail I.; Huerta, Ramón; Varona, Pablo; Afraimovich, Valentin S. |
|
2006
|
Stochastic oscillations in dissipative systems. Zbl 1194.37062
Pikovsky, Arkady S.; Rabinovich, Mikhail I. |
|
1981
|
Dynamics of spiral waves in non-equilibrium media. Zbl 0708.35092
Aranson, I. S.; Rabinovich, M. I. |
|
1990
|
Stability of spatially homogeneous chaotic regimes in unidirectional chains. Zbl 0712.58041
Aranson, I. S.; Afrajmovich, V. S.; Rabinovich, M. I. |
|
1990
|
Mind-to-mind heteroclinic coordination: model of sequential episodic memory initiation. Zbl 1414.37035
Afraimovich, V. S.; Zaks, M. A.; Rabinovich, M. I. |
|
2018
|
Stochastic behavior of dissipative systems. Zbl 0545.70032
Pikovskij, A. S.; Rabinovich, M. I. |
|
1981
|
On the occurrence of stable heteroclinic channels in Lotka-Volterra models. Zbl 1196.34076
Bick, Christian; Rabinovich, Mikhail I. |
|
2010
|
Sequential memory: binding dynamics. Zbl 1374.92022
Afraimovich, Valentin; Gong, Xue; Rabinovich, Mikhail |
|
2015
|
Distribution of mutual information. Zbl 0983.37102
Abarbanel, Henry D. I.; Masuda, Naoki; Rabinovich, M. I.; Tumer, Evren |
|
2001
|
Nonlinearities in action. Oscillations, chaos, order, fractals. Zbl 0776.70001
|
|
1992
|
Hierarchical heteroclinics in dynamical model of cognitive processes: chunking. Zbl 1302.92016
Afraimovich, Valentin S.; Young, Todd R.; Rabinovich, Mikhail I. |
|
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. |
|
2011
|
Nonlinear cooperative dynamics of living neurons. Zbl 1090.92506
Rabinovich, Mikhail I.; Varona, Pablo; Abarbanel, Henry D. I. |
|
2000
|
Synchronized disorder in a 2D complex Ginzburg-Landau equation. Zbl 0816.35126
Bazhenov, M.; Rabinovich, M. |
|
1994
|
Asymptotic methods of solving nonlinear partial differential equations. Zbl 0255.35020
Rabinovich, M. I.; Rozenblyum, A. A. |
|
1972
|
Transient dynamics in complex systems: heteroclinic sequence with multidimensional unstable manifolds. Zbl 1334.37019
Afraimovich, Valentin; Tristan, Irma; Varona, Pablo; Rabinovich, Mikhail |
|
2013
|
Dynamical description of spatial disorder. Zbl 1194.37129
Afraimovich, V. S.; Ezersky, A. B.; Rabinovich, M. I.; Shereshevsky, M. A.; Zheleznyak, A. L. |
|
1992
|
Chaotic scattering of two-dimensional solitons. Zbl 0779.35100
Gorshkov, K. A.; Lomov, A. S.; Rabinovich, M. I. |
|
1992
|
Soliton trains and I-V characteristics of long Josephson junctions. Zbl 0889.35092
Maksimov, A. G.; Nekorkin, V. I.; Rabinovich, M. I. |
|
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
|
|
1990
|
Complex spatiotemporal dynamics of chain models for flow systems. Zbl 0805.58045
Afraimovich, V. S.; Rabinovich, M. I. |
|
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. |
|
2002
|
Strange attractors in modern physics. Zbl 0475.58012
Rabinovich, M. I. |
|
1980
|
On asymptotic methods in nonlinear oscillation theory of distributed systems. Zbl 0228.35010
Gaponov, A. V.; Ostrovskij, L. A.; Rabinovich, M. I. |
|
1970
|
Stochastization of coherent structures by a periodic field. Zbl 0476.76052
Aranson, I. S.; Rabinovich, M. I.; Sushchik, M. M. |
|
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. |
|
2003
|
The diversity of steady state solutions of the complex Ginzburg-Landau equation. Zbl 0972.35540
Bazhenov, M.; Bohr, T.; Gorshkov, K.; Rabinovich, M. |
|
1996
|
Timing control by redundant inhibitory neuronal circuits. Zbl 1374.92020
Tristan, I.; Rulkov, N. F.; Huerta, R.; Rabinovich, M. |
|
2014
|
Mind-to-mind heteroclinic coordination: model of sequential episodic memory initiation. Zbl 1414.37035
Afraimovich, V. S.; Zaks, M. A.; Rabinovich, M. I. |
|
2018
|
Sequential memory: binding dynamics. Zbl 1374.92022
Afraimovich, Valentin; Gong, Xue; Rabinovich, Mikhail |
|
2015
|
Hierarchical heteroclinics in dynamical model of cognitive processes: chunking. Zbl 1302.92016
Afraimovich, Valentin S.; Young, Todd R.; Rabinovich, Mikhail I. |
|
2014
|
Timing control by redundant inhibitory neuronal circuits. Zbl 1374.92020
Tristan, I.; Rulkov, N. F.; Huerta, R.; Rabinovich, M. |
|
2014
|
Transient dynamics in complex systems: heteroclinic sequence with multidimensional unstable manifolds. Zbl 1334.37019
Afraimovich, Valentin; Tristan, Irma; Varona, Pablo; Rabinovich, Mikhail |
|
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. |
|
2011
|
Heteroclinic binding. Zbl 1204.37089
Rabinovich, Mikhail I.; Afraimovich, Valentin S.; Varona, Pablo |
|
2010
|
On the occurrence of stable heteroclinic channels in Lotka-Volterra models. Zbl 1196.34076
Bick, Christian; Rabinovich, Mikhail I. |
|
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. |
|
2008
|
Generation and reshaping of sequences in neural systems. Zbl 1114.92016
Rabinovich, Mikhail I.; Huerta, Ramón; Varona, Pablo; Afraimovich, Valentin S. |
|
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. |
|
2005
|
Heteroclinic contours in neural ensembles and the winnerless competition principle. Zbl 1099.37518
Afraimovich, Valentin S.; Rabinovich, Mikhail I.; Varona, Pablo |
|
2004
|
On the origin of reproducible sequential activity in neural circuits. Zbl 1080.37100
Afraimovich, V. S.; Zhigulin, V. P.; Rabinovich, M. I. |
|
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. |
|
2004
|
Biophysical model of synaptic plasticity dynamics. Zbl 1094.92010
Abarbanel, Henry D. I.; Gibb, Leif; Huerta, R.; Rabinovich, M. I. |
|
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. |
|
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. |
|
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. |
|
2002
|
Distribution of mutual information. Zbl 0983.37102
Abarbanel, Henry D. I.; Masuda, Naoki; Rabinovich, M. I.; Tumer, Evren |
|
2001
|
The dynamics of patterns. Zbl 1043.37513
Rabinovich, M. I.; Ezersky, A. B.; Weidman, P. D. |
|
2000
|
Nonlinear cooperative dynamics of living neurons. Zbl 1090.92506
Rabinovich, Mikhail I.; Varona, Pablo; Abarbanel, Henry D. I. |
|
2000
|
Cooperative behavior of a chain of synaptically coupled chaotic neurons. Zbl 0917.92004
Bazhenov, M.; Huerta, R.; Rabinovich, M. I.; Sejnowski, T. |
|
1998
|
The diversity of steady state solutions of the complex Ginzburg-Landau equation. Zbl 0972.35540
Bazhenov, M.; Bohr, T.; Gorshkov, K.; Rabinovich, M. |
|
1996
|
Soliton trains and I-V characteristics of long Josephson junctions. Zbl 0889.35092
Maksimov, A. G.; Nekorkin, V. I.; Rabinovich, M. I. |
|
1995
|
Synchronized disorder in a 2D complex Ginzburg-Landau equation. Zbl 0816.35126
Bazhenov, M.; Rabinovich, M. |
|
1994
|
Complex spatiotemporal dynamics of chain models for flow systems. Zbl 0805.58045
Afraimovich, V. S.; Rabinovich, M. I. |
|
1993
|
Nonlinearities in action. Oscillations, chaos, order, fractals. Zbl 0776.70001
|
|
1992
|
Dynamical description of spatial disorder. Zbl 1194.37129
Afraimovich, V. S.; Ezersky, A. B.; Rabinovich, M. I.; Shereshevsky, M. A.; Zheleznyak, A. L. |
|
1992
|
Chaotic scattering of two-dimensional solitons. Zbl 0779.35100
Gorshkov, K. A.; Lomov, A. S.; Rabinovich, M. I. |
|
1992
|
Stable particle-like solutions of multidimensional nonlinear fields. Zbl 0719.35074
Aranson, I. S.; Gorshkov, K. A.; Lomov, A. S.; Rabinovich, M. I. |
|
1990
|
Dynamics of spiral waves in non-equilibrium media. Zbl 0708.35092
Aranson, I. S.; Rabinovich, M. I. |
|
1990
|
Stability of spatially homogeneous chaotic regimes in unidirectional chains. Zbl 0712.58041
Aranson, I. S.; Afrajmovich, V. S.; Rabinovich, M. I. |
|
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
|
|
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. |
|
1989
|
Nonlinear waves 1. Dynamics and evolution. Transl. from the Russian. Zbl 0677.76001
|
|
1989
|
The onset and spatial development of turbulence in flow systems. Zbl 0655.76045
Aranson, I. S.; Gaponov-Grekhov, A. V.; Rabinovich, M. I. |
|
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 |
|
1988
|
Stochastic oscillations in dissipative systems. Zbl 1194.37062
Pikovsky, Arkady S.; Rabinovich, Mikhail I. |
|
1981
|
Stochastic behavior of dissipative systems. Zbl 0545.70032
Pikovskij, A. S.; Rabinovich, M. I. |
|
1981
|
Stochastization of coherent structures by a periodic field. Zbl 0476.76052
Aranson, I. S.; Rabinovich, M. I.; Sushchik, M. M. |
|
1981
|
Strange attractors in modern physics. Zbl 0475.58012
Rabinovich, M. I. |
|
1980
|
Asymptotic methods of solving nonlinear partial differential equations. Zbl 0255.35020
Rabinovich, M. I.; Rozenblyum, A. A. |
|
1972
|
On asymptotic methods in nonlinear oscillation theory of distributed systems. Zbl 0228.35010
Gaponov, A. V.; Ostrovskij, L. A.; Rabinovich, M. I. |
|
1970
|