Izhikevich E.M. (Editor-in-Chief)
Scholarpedia , the free peer reviewed encyclopedia.
my new book Izhikevich E.M. (2007)
Dynamical Systems in Neuroscience:
The Geometry of Excitability and Bursting.

The MIT press
(full version in pdf)
my book Hoppensteadt F.C. and Izhikevich E.M. (1997)
Weakly Connected Neural Networks.

Springer-Verlag, New York
Articles:
Izhikevich M. (2025)
Spiking Manifesto.
arXiv:2512.11843
Izhikevich E. M., Conway J. H., and Seth A. (2015)
Game of Life.
Scholarpedia, 10(6):1816
Izhikevich E. M. (2010)
Hybrid Spiking Models.
Phil. Trans. R. Soc. A 368:5061-5070
Szatmary B. and Izhikevich E. M. (2010)
Spike-Timing Theory of Working Memory.
PLoS Computational Biology, 6(8): e1000879
Izhikevich E. M. and Hoppensteadt F.C. (2009)
Polychronous Wavefront Computations.
International Journal of Bifurcation and Chaos, 19:1733-1739
Izhikevich E. M. and Edelman G. M. (2008) 
Large-Scale Model of Mammalian Thalamocortical Systems.
PNAS, 105:3593-3598
Izhikevich E. M. and Ermentrout G. B. (2008)
Phase model.
Scholarpedia, 3(10):1487
Terman D. H. and Izhikevich E. M. (2008)
State space.
Scholarpedia, 3(3):1924
Izhikevich E.M. (2007) 
Solving the Distal Reward Problem through Linkage of STDP and Dopamine Signaling.
Cerebral Cortex, 17:2443--2452 (10.1093/cercor/bhl152)
Izhikevich E.M. (2007) 
Equilibrium.
Scholarpedia, 2(10):2014
Seth A. K., Izhikevich E., Reeke G.N., and Edelman G.M. (2006) 
Theories and measures of consciousness: An extended framework.
PNAS, 10.1073/pnas.0604347103.
Izhikevich E.M. and FitzHugh R. (2006) 
FitzHugh-Nagumo Model.
Scholarpedia, 1:(9)1349
Izhikevich E.M. and Kuramoto Y. (2006) 
Weakly Coupled Oscillators.
Encyclopedia of Mathematical Physics, Elsevier, 5:448
Izhikevich E.M.(2006) 
Bursting.
Scholarpedia, 1(3):1300
Izhikevich E.M. (2006) 
Polychronization: Computation With Spikes.
Neural Computation,18:245-282
Wu N., Enomoto A., Tanaka S., Hsiao C.-F., Nykamp D.Q., Izhikevich E., and Chandler S.H. (2005) 
Persistent Sodium Currents in Mesencephalic V Neurons Participate in Burst Generation and Control of Membrane Excitability
Journal of Neurophysiology 93:2710--2722
Izhikevich E.M. (2004) 
Which Model to Use for Cortical Spiking Neurons?
IEEE Transactions on Neural Networks, 15:1063-1070 (special issue on temporal coding)
Izhikevich E.M. and Hoppensteadt F.C. (2004) 
Classification of Bursting Mappings.
International Journal of Bifurcation and Chaos, 14:3847-3854
Izhikevich E.M., Gally J.A., and Edelman, G.M. (2004) 
Spike-Timing Dynamics of Neuronal Groups.
Cerebral Cortex, 14:933-944
Izhikevich E.M. (2003) 
Simple Model of Spiking Neurons.
IEEE Transactions on Neural Networks, 14:1569- 1572
Izhikevich E.M. and Hoppensteadt F.C. (2003) 
Slowly Coupled Oscillators: Phase Dynamics and Synchronization.
SIAM Journal on Applied Mathematics, 63:1935-1953
Izhikevich E.M. and Desai N.S. (2003) 
Relating STDP to BCM.
Neural Computation 15:1511�1523
Izhikevich E.M., Desai N.S., Walcott E.C., Hoppensteadt F.C. (2003) 
Bursts as a unit of neural information: selective communication via resonance.
Trends in Neuroscience 26:161-167
Izhikevich E.M. (2002) 
Resonance and Selective Communication Via Bursts in Neurons Having Subthreshold Oscillations.
BioSystems, 67:95-102
Hoppensteadt F.C. and Izhikevich E.M. (2002) 
Canonical Neural Models. 
In Arbib MA (Ed) Brain Theory and Neural Networks. Second Edition. The MIT press, Cambridge, MA, pages 181-186. (Invited review paper)
Izhikevich E.M. (2001) 
Synchronization of Elliptic Bursters.
SIAM Review, 43:315-344
(Featured SIGEST paper selected on the basis of its exceptional interest to the entire SIAM community.)
Izhikevich E.M. (2001) 
Resonate-and-Fire Neurons.
Neural Networks, 14:883-894
Hoppensteadt F.C. and Izhikevich E.M. (2001) 
Synchronization of MEMS Resonators and Mechanical Neurocomputing. 
IEEE Transactions On Circuits and Systems I, 48:133-138
Hoppensteadt F.C. and Izhikevich E.M. (2000) 
Synchronization of Laser Oscillators, Associative Memory, and Optical Neurocomputing.
Physical Review E, 62:4010-4013
Hoppensteadt F.C. and Izhikevich E.M. (2000) 
Pattern Recognition Via Synchronization in Phase-Locked Loop Neural Networks. 
IEEE Transactions On Neural Networks, 11:734-738
Izhikevich E.M. (2000) 
Phase Equations For Relaxation Oscillators.
SIAM Journal on Applied Mathematics, 60:1789-1805
Izhikevich E.M. (2000) 
Neural Excitability, Spiking, and Bursting.
International Journal of Bifurcation and Chaos. 10:1171-1266. 
(Long review/tutorial paper with 126 illustrations.)
Izhikevich E.M. (2000) 
Subcritical Elliptic Bursting of Bautin Type.
SIAM Journal on Applied Mathematics, 60:503-535
Izhikevich E.M. (1999) 
Weakly Connected Quasiperiodic Oscillators, FM Interactions, and Multiplexing in the Brain.
SIAM Journal on Applied Mathematics, 59:2193-2223
Hoppensteadt F.C. and Izhikevich E.M. (1999) 
Oscillatory Neurocomputers With Dynamic Connectivity.
Physical Review Letters 82:2983-2986
Izhikevich E.M. (1999) 
Class 1 Neural Excitability, Conventional Synapses, Weakly Connected Networks, and Mathematical Foundations of Pulse-Coupled Models.
IEEE Transactions On Neural Networks,10:499-507
Izhikevich E.M. (1999) 
Weakly Pulse-Coupled Oscillators, FM Interactions, Synchronization, and Oscillatory Associative Memory.
IEEE Transactions On Neural Networks, 10:508-526(Review/tutorial paper)
Hoppensteadt F.C. and Izhikevich E.M. (1998) 
Thalamo-Cortical Interactions Modeled by Weakly Connected Oscillators: Could Brain Use FM Radio Principles?
BioSystems, 48:85-94
Izhikevich E.M. (1998) 
Phase Models With Explicit Time Delays.
Physical Review E, 58:905-908
Izhikevich E.M. (1998) 
Multiple Cusp Bifurcations.
Neural Networks, 11:495-508
Hoppensteadt F.C. and Izhikevich E.M. (1996) 
Synaptic Organizations and Dynamical Properties of Weakly Connected Neural Oscillators. II. Learning of Phase Information.
Biological Cybernetics, 75:129--135
Hoppensteadt F.C. and Izhikevich E.M. (1996) 
Synaptic Organizations and Dynamical Properties of Weakly Connected Neural Oscillators: I. Analysis of Canonical Model
Biological Cybernetics, 75:117--127
Izhikevich E.M. and Malinetskii G.G. (1993) 
A Neural Network With Chaotic Behavior.
Neurocomputers (in Russian)
Izhikevich E.M. and MalinetskiiG.G. (1992) 
A Possible Role of Chaos in Neurosystems
Dokl. Akad. Nauk SSSR, 326:626-632 (translated in Sov. Phys. Docl. (1993) 37(10) October 1992:492--495)
Izhikevich E.M., Mikhailov A.S., and Sveshnikov N.A. (1991) 
Memory, Learning and Neuromediators.
BioSystems, 25:219-230
 

[home] [research] [publications] [cv]