Mikhail Rabinovich's home page

MIKHAIL I. RABINOVICH

Institute for Nonlinear Science
     University of California, San Diego
      9500 Gilman Drive, CMRR Building
      La Jolla, CA 92093-0402
      Phone: (858) 534-6753, Fax: (858) 534-7664
   email: mrabinovich@ucsd.edu
      Russian Academy of Sciences

INDEX:

Recent scientific papers

Recent scientific books

Recent scientific book chapters

Poetry books

Essays

Recent scientific papers:

M.I. Rabinovich, R. Huerta, P. Varona, V.S. Afraimovich. 2008. Transient Cognitive Dynamics, Metastability and Decision Making. PLoS Computational Biology 4(5): e1000072.

Reyes MB, Huerta R, Rabinovich MI, Selverston AI. Artificial synaptic modification reveals a dynamical invariant in the pyloric CPG. Eur J Appl Physiol. 102(6):667-75, 2008.

Nowotny T, Rabinovich MI. Dynamical origin of independent spiking and bursting activity in neural microcircuits. Phys Rev Lett. 98(12):128106, 2007.

Rabinovich MI, Varona P, Selverston AI, Abarbanel HDI. Dynamical Principles in Neuroscience. Reviews of Modern Physics 78(4): 1213, 2006.

Rabinovich MI, Huerta R, Varona P, Afraimovich VS. Generation and reshaping of sequences in neural systems. Biol Cybern. 95(6):519-36, 2006.

Rabinovich MI, Huerta R, Afraimovich VI. Dynamics of Sequential Decision Making. Phys. Rev Lett. 97: 188103, 2006.

Rabinovich MI, Huerta R, Varona P. Heteroclinic synchronization: ultrasubharmonic locking. Phys Rev Lett. 96(1):014101, 2006.

Rabinovich MI, Huerta R, Afraimovich V. Dynamics of sequential decision making. Phys Rev Lett. 97(18):188103, 2006.

Levi R, Varona P, Arshavsky YI, Rabinovich MI, Selverston AI. The role of sensory network dynamics in generating a motor program. J Neurosci. 25(42):9807-15, 2005.

Nowotny T, Huerta R, Abarbanel HD, Rabinovich MI. Self-organization in the olfactory system: one shot odor recognition in insects. Biol Cybern. 93(6):436-46, 2005.

Abarbanel HD, Talathi SS, Gibb L, Rabinovich MI. Synaptic plasticity with discrete state synapses. Phys Rev E 72: 031914, 2005.

Venaille A, Varona P, Rabinovich MI. Synchronization and coordination of sequences in two neural ensembles. Phys Rev E 71: 061909, 2005.

Szucs A, Abarbanel HD, Rabinovich MI, Selverston AI. Dopamine modulation of spike dynamics in bursting neurons. Eur J Neurosci. 21(3):763-72, 2005.

Huerta R, Rabinovich M. Reproducible sequence generation in random neural ensembles. Phys Rev Lett. 93(23):238104, 2004.

Afraimovich VS, Zhigulin VP, Rabinovich MI. On the origin of reproducible sequential activity in neural circuits. Chaos 14(4):1123-9, 2004.

Abarbanel HD, Talathi SS, Mindlin G, Rabinovich M, Gibb L. Dynamical model of birdsong maintenance and control. Phys Rev E 70(5 Pt 1):051911, 2004.

Abarbanel HD, Gibb L, Mindlin GB, Rabinovich MI, Talathi S. Spike timing and synaptic plasticity in the premotor pathway of birdsong. Biol Cybern. 91(3):159-67, 2004.

Huerta R. Nowotny T. Garcia-Sanchez M. Abarbanel HDI. Rabinovich MI. Learning classification in the olfactory system of insects. Neural Computation. 16(8):1601-1640, 2004.

Zhigulin VP. Rabinovich MI. An important role of spike timing dependent synaptic plasticity in the formation of synchronized neural ensembles. Neurocomputing. 58-60:373-378, 2004.

Varona P. Levi R. Arshavsky YI. Rabinovich MI. Selverston AI. Competing sensory neurons and motor rhythm coordination. Neurocomputing. 58-60:549-554, 2004.

Levi R. Varona P. Arshavsky YI. Rabinovich MI. Selverston AI. Dual sensory-motor function for a molluskan statocyst network. Journal of Neurophysiology. 91(1):336-345, 2004.

Afraimovich VS, Rabinovich MI, Varona P. Heteroclinic Contours in Neural Ensembles and the Winnerless Competition Principle. International Journal of Bifurcation and Chaos,Vol. 14(4): 1195-1208, 2004.

Nowotny T. Zhigulin VP. Selverston AI. Abarbanel HDI. Rabinovich MI. Enhancement of synchronization in a hybrid neural circuit by spike-timing dependent plasticity. Journal of Neuroscience. 23(30):9776-9785, 2003.

Abarbanel HDI. Gibb L. Huerta R. Rabinovich MI. Biophysical model of synaptic plasticity dynamics. Biological Cybernetics. 89(3):214-226, 2003

Nowotny T. Rabinovich MI. Huerta R. Abarbanel HDI. Decoding temporal information through slow lateral excitation in the olfactory system of insects. Journal of Computational Neuroscience. 15(2):271-281, 2003.

Nowotny T. Rabinovich MI. Abarbanel HDI. Spatial representation of temporal information through spike-timing-dependent plasticity - art. no. 011908. Physical Review E. 6801(1 Part 1):1908, 2003

Whitehead A. Rabinovich MI. Huerta R. Zhigulin VP. Abarbanel HDI. Dynamical synaptic plasticity: a model and connection to some experiments. Biological Cybernetics. 88(3):229-235, 2003

Szucs A. Pinto RD. Rabinovich MI. Abarbanel HDI. Selverston AI. Synaptic modulation of the interspike interval signatures of bursting pyloric neurons. Journal of Neurophysiology 89(3):1363-1377, 2003 Mar.

Zhigulin, VP; Rabinovich MI, Huerta R, Abarbanel HDI. Robustness and enhancement of neural synchronization by activity-dependent coupling. PHYSICAL REVIEW E, 67, pp 021901-1 021901-4 (2003).

Seliger P, Tsimring LS, Rabinovich M.I. Dynamics-based sequential memory: Winnerless competition of pattern PHYSICAL REVIEW E, 67, pp 011905-1 11905-4 (2003).

Elson RC. Selverston AI. Abarbanel HDI. Rabinovich MI. Inhibitory synchronization of bursting in biological neurons: Dependence on synaptic time constant. Journal of Neurophysiology 88(3):1166-1176, 2002 Sep.
Rabinovich MI, Pinto RD, Abarbanel HDI, Tumer E, Stiesberg G, Huerta R, Selverston AI. Recovery of hidden information through synaptic dynamics. Network-Computation in Neural Systems, vol.13, no.4, Nov. 2002, pp.487-501.
Varona P, Aguirre C, Torres JJ, Abarbanel HDI, Rabinovich MI. Spatio-temporal patterns of network activity in the inferior olive. Neurocomputing, vol.44-46, June 2002, pp.685-90.

Abarbanel, HDI; Huerta R., Rabinovich, MI. Dynamical model of long-term synaptic plasticity. PNAS, July 23, 2002 vol. 99 no. 15,10132-10137.

Varona, P; Rabinovich, MI.; Selverston AI.; Arshavsky YI. Winnerless competition between sensory neurons generates chaos: A possible mechanism for molluscan hunting behavior. CHAOS, V12 (3) 672-677 (2002).

Cazelles, B; Courbage, M; Rabinovich, M. Anti-phase regularization of coupled chaotic maps modelling bursting neurons. EUROPHYSICS LETTERS, NOV, 2001, V56(N4):504-509.

Varona, P; Torres, JJ; Huerta, R; Abarbanel, HDI; Rabinovich, MI. Regularization mechanisms of spiking-bursting neurons. NEURAL NETWORKS, JUL-SEP, 2001, V14(N6-7 SI):865-875.

Abarbanel, HD; Rabinovich, MI. Neurodynamics: nonlinear dynamics and neurobiology. CURRENT OPINION IN NEUROBIOLOGY, AUG, 2001, V11(N4):423-430.

Pinto, RD; Elson, RC; Szucs, A; Rabinovich, MI; Selverston, AI; Abarbanel, HDI. Extended dynamic clamp: controlling up to four neurons using a single desktop computer and interface. JOURNAL OF NEUROSCIENCE METHODS, JUL 15, 2001, V108(N1):39-48.

Rabinovich, M; Volkovskii, A; Lecanda, P; Huerta, R; Abarbanel, HDI; Laurent, G. Dynamical encoding by networks of competing neuron groups: Winnerless competition . PHYSICAL REVIEW LETTERS, AUG 6, 2001, V8706(N6):8102,U149-U151.

Laurent, G; Stopfer, M; Friedrich, RW; Rabinovich, MI; Volkovskii, A; Abarbanel, HDI. Odor encoding as an active, dynamical process: Experiments, computation, and theory. ANNUAL REVIEW OF NEUROSCIENCE, 2001, V24:263-297.

Bazhenov, M; Stopfer, M; Rabinovich, M; Huerta, R; Abarbanel, HDI; Sejnowski, TJ; Laurent, G. Model of transient oscillatory synchronization in the locust antennal lobe. NEURON, MAY, 2001, V30(N2):553-567.

Bazhenov, M; Stopfer, M; Rabinovich, M; Abarbanel, HDI; Sejnowski, TJ; Laurent, G. Model of cellular and network mechanisms for odor-evoked temporal patterning in the locust antennal lobe. NEURON, MAY, 2001, V30(N2):569-581.

Abarbanel, HDI; Masuda, N; Rabinovich, MI; Tumer, E. Distribution of mutual information. PHYSICS LETTERS A, APR 2, 2001, V281(N5-6):368-373.

Szucs, A; Elson, RC; Rabinovich, MI; Abarbanel, HDI; Selverston, AI. Nonlinear behavior of sinusoidally forced pyloric pacemaker neurons. JOURNAL OF NEUROPHYSIOLOGY, APR, 2001, V85(N4):1623-1638.

Rodriguez, F.B.; Varona, P.; Huerta, R.; Rabinovich, M.I.; Abarbanel, H.D.I. Richer network dynamics of intrinsically non-regular neurons measured through mutual information. LECTURE NOTES IN COMPUTER SCIENCE, 2001, V2084: 490-497.

Selverston, AI; Rabinovich, MI; Abarbanel, HDI; Elson, R; Szucs, A; Pinto, RD; Huerta, R; Varona, P. Reliable circuits from irregular neurons: A dynamical approach to understanding central pattern generators. JOURNAL OF PHYSIOLOGY-PARIS, SEP-DEC, 2000, V94(N5-6):357-374.

Rabinovich, MI; Huerta, R; Volkovskii, A; Abarbanel, HDI; Stopfer, M; Laurent, G. Dynamical coding of sensory information with competitive networks. JOURNAL OF PHYSIOLOGY-PARIS, SEP-DEC, 2000, V94(N5-6):465-471.

Varona, P; Torres, JJ; Abarbanel, HDI; Rabinovich, MI; Elson, RC. Dynamics of two electrically coupled chaotic neurons: Experimental observations and model analysis. BIOLOGICAL CYBERNETICS, FEB, 2001, V84(N2):91-101.

Huerta, R; Varona, P; Rabinovich, MI; Abarbanel, HDI. Topology selection by chaotic neurons of a pyloric central pattern generator. BIOLOGICAL CYBERNETICS, JAN, 2001, V84(N1):L1-L8.

Eguia, MC; Rabinovich, MI; Abarbanel, HDI. Information transmission and recovery in neural communications channels. PHYSICAL REVIEW E, NOV, 2000, V62(N5 PTB):7111-7122.

Pinto, RD; Varona, P; Volkovskii, AR; Szucs, A; Abarbanel, HDI; Rabinovich, MI. Synchronous behavior of two coupled electronic neurons. PHYSICAL REVIEW E, AUG, 2000, V62(N2 PTB):2644-2656.

Rabinovich, MI; Varona, P; Abarbanel, HDI. Nonlinear cooperative dynamics of living neurons. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, MAY, 2000, V10(N5):913-933.

Falcke, M; Huerta, R; Rabinovich, MI; Abarbanel, HDI; Elson, RC; Selverston, AI. Modeling observed chaotic oscillations in bursting neurons: the role of calcium dynamics and IP3. BIOLOGICAL CYBERNETICS, JUN, 2000, V82(N6):517-527.

Szucs, A; Varona, P; Volkovskii, AR; Abarbanel, HDI; Rabinovich, MI;Selverston, AI. Interacting biological and electronic neurons generate realistic oscillatory rhythms. NEUROREPORT, FEB 28, 2000, V11(N3):563-569.

La Rosa, M; Rabinovich, MI; Huerta, R; Abarbanel, HDI; Fortuna, L. Slow regularization through chaotic oscillation transfer in an unidirectional chain of Hindmarsh-Rose models. PHYSICS LETTERS A, FEB 14, 2000, V266(N1):88-93.

Rabinovich, MI; Torres, JJ; Varona, P; Huerta, R; Weidman, P. Origin of coherent structures in a discrete chaotic medium. PHYSICAL REVIEW E, AUG, 1999, V60(N2 PTA):R1130-R1133.

Elson, RC; Huerta, R; Abarbanel, HDI; Rabinovich, MI; Selverston, AI. Dynamic control of irregular bursting in an identified neuron of an oscillatory circuit. JOURNAL OF NEUROPHYSIOLOGY, JUL, 1999, V82(N1):115-122.

Rabinovich, MI; Varona, P; Torres, JJ; Huerta, R; Abarbanel, HDI. Slow dynamics and regularization phenomena in ensembles of chaotic neurons. PHYSICA A, FEB 1, 1999, V263(N1-4):405-414.

Elson, RC; Selverston, AI; Huerta, R; Rulkov, NF; Rabinovich, MI; Abarbanel, HDI. Synchronous behavior of two coupled biological neurons. PHYSICAL REVIEW LETTERS, DEC 21, 1998, V81(N25):5692-5695.

Rabinovich, M; Huerta, R; Bazhenov, M; Kozlov, AK; Abarbanel, HDI. Computer simulations of stimulus dependent state switching in basic circuits of bursting neurons. PHYSICAL REVIEW E, NOV, 1998, V58(N5 PTB):6418-6430.

Huerta, R; Bazhenov, M; Rabinovich, MI. Clusters of synchronization and bistability in lattices of chaotic neurons. EUROPHYSICS LETTERS, SEP 15, 1998, V43(N6):719-724.

Rabinovich, MI; Abarbanel, HDI. The role of chaos in neural systems. NEUROSCIENCE, NOV, 1998, V87(N1):5-14.

Bazhenov, M; Huerta, R; Rabinovich, MI; Sejnowski, T. Cooperative behavior of a chain of synaptically coupled chaotic neurons. PHYSICA D, JUN 1, 1998, V116(N3-4):392-400.

Nekorkin, VI; Kazantsev, VB; Rabinovich, MI; Velarde, MG. Controlled disordered patterns and information transfer between coupled neural lattices with oscillatory states. PHYSICAL REVIEW E, MAR, 1998, V57(N3 PTB):3344-3351.

Kozlov, AK; Huerta, R; Rabinovich, MI; Abarbanel, HDI; Bazhenov, MV. Neural ensembles with contradictory couplings as receivers of information. DOKLADY AKADEMII NAUK, DEC, 1997, V357(N6):752-757. Language: Russian.

Afenchenko, VO; Ezersky, AB; Kiyashko, SV; Rabinovich, MI; Weidman, PD. The generation of two-dimensional vortices by transverse oscillation of a soap film. PHYSICS OF FLUIDS, FEB, 1998, V10(N2):390-399.

Rabinovich, MI; Abarbanel, HDI; Huerta, R; Elson, R; Selverston, AI. Self-regularization of chaos in neural systems: Experimental and theoretical results. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, OCT, 1997, V44(N10):997-1005.

Huerta, R; Rabinovich, MI; Abarbanel, HDI; Bazhenov, M. Spike-train bifurcation scaling in two coupled chaotic neurons. PHYSICAL REVIEW E, MAR, 1997, V55(N3 PTA):R2108-R2110.

Kiyashko, SV; Korzinov, LN; Rabinovich, MI; Tsimring, LS. Rotating spirals in a Faraday experiment. PHYSICAL REVIEW E, NOV, 1996, V54(N5):5037-5040.

Abarbanel, HDI; Huerta, R; Rabinovich, MI; Rulkov NF; Rowat PF; Selverston AI. Synchronized action of synaptically coupled chaotic model neurons. NEURAL COMPUTATION, NOV 15, 1996, V8(N8):1567-1602.

Gaponovgrekhov, AV; Ravinovich, MI. Overview - Synchronization and patterns in complex systems. CHAOS, SEP, 1996, V6(N3):259-261.

Rabinovich, M; Selverston, A; Rubchinsky, L; Huerta, R. Dynamics and kinematics of simple neural systems. CHAOS, SEP, 1996, V6(N3):288-296.

Abarbanel, HDI; Selverston, AI; Huerta, R; Bazhenov, MV; Sushchik, MM; Rubchinskii, LL; Rabinovich, MI. Synchronization in Neural Assemblies. USPEKHI FIZICHESKIKH NAUK, APR, 1996, V166(N4):363-390.

Recent scientific books:

back to main index

The Dynamics of Patterns (2000) . Word Scientific link. Amazon link. Read a review.

Introduction to Nonlinear Dynamics for Physicists (1993). Word Scientific link. Amazon link.

Nonlinearities in action (1992). Example pages: 1, 2, 3. Amazon link

Oscillations and Waves in Linear and Nonlinear Systems (1989). Kluwer link. Amazon link.

Recent scientific book chapters:

MI Rabinovich and NF Rulkov. Chaotic Dynamics. In Enyclopedia of Nonlinear Science, pp: 118-128. Alwyn Scott, Editor. Routledge. New York. 2004. ISBN: 1579583857.
M.I. Rabinovich, P. Varona, H.D.I. Abarbanel. Nonlinear Dynamics of Living Neurons. Proceedings of "Global Dynamics, Complexity and Catastrophes''. In Science for survival and sustainable development. Pontifical Academy of Science, Vatican, 2000: 185-215. ISBN 88-7761-071-9.
M.I. Rabinovich, J.J. Torres, P. Varona. Pattern Formation in Networks of Chaotic Spiking-Bursting Neurons. In Dynamical Systems: from Cristal to Chaos. World Scientific Books, 2000. ISBN 981-02-4217-4.

Poetry books:

back to main index

Up the hill (2001), ISBN: 5-89533-043-6.

   Rings of time (2002), ISBN: 5-89533-061-4.
   Index and assorted poems.
   Press comments and interview.

Oars (2005), ISBN: 5-89533-100-9.
Editorial information and first page

Essays:

back to main index