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Henry D. I. Abarbanel
Articles in Scholarly Journals [Incomplete List]
Measuring spike train synchrony
Journal of Neuroscience Methods, vol. 165, no. 1, pp. 151–161, 2007
Estimating Information Rates with Confidence Intervals in Neural Spike Trains
Neural Computation, vol. 19, no. 7, pp. 1683–1719, 2007
Theoretical Biology and Medical Modelling, vol. 4, no. 1, p. 7, 2007
Dynamical principles in neuroscience
Reviews of Modern Physics, vol. 78, no. 4, pp. 1213–1265, 2006
Neural Circuitry for Recognizing Interspike Interval Sequences
Physical Review Letters, vol. 96, no. 14, 2006
Spike-Timing-Dependent Plasticity of Inhibitory Synapses in the Entorhinal Cortex
Journal of Neurophysiology, vol. 96, no. 6, pp. 3305–3313, 2006
From crawling to cognition: analyzing the dynamical interactions among populations of neurons
Current Opinion in Neurobiology, vol. 16, no. 2, pp. 135–144, 2006
Self-organization in the olfactory system: one shot odor recognition in insects
Biological Cybernetics, vol. 93, no. 6, pp. 436–446, 2005
Synaptic plasticity with discrete state synapses
Physical Review E, vol. 72, no. 3, 2005
Erratum: Synaptic plasticity with discrete state synapses [Phys. Rev. E 72, 031914 (2005)]
Physical Review E, vol. 72, no. 6, 2005
Optical Imaging of Neuronal Populations During Decision-Making
Science, vol. 307, no. 5711, pp. 896–901, 2005
Estimating Entropy Rates with Bayesian Confidence Intervals
Neural Computation, vol. 17, no. 7, pp. 1531–1576, 2005
A Network of Electronic Neural Oscillators Reproduces the Dynamics of the Periodically Forced Pyloric Pacemaker Group
IEEE Transactions on Biomedical Engineering, vol. 52, no. 5, pp. 792–798, 2005
Dopamine modulation of spike dynamics in bursting neurons
European Journal of Neuroscience, vol. 21, no. 3, pp. 763–772, 2005
Mapping Neural Architectures Onto Acoustic Features of Birdsong
Journal of Neurophysiology, vol. 92, no. 1, pp. 96–110, 2004
Learning Classification in the Olfactory System of Insects
Neural Computation, vol. 16, no. 8, pp. 1601–1640, 2004
Dynamical model of birdsong maintenance and control
Physical Review E, vol. 70, no. 5, 2004
Spike timing and synaptic plasticity in the premotor pathway of birdsong
Biological Cybernetics, vol. 91, no. 3, 2004
Reliability and precision of neural spike timing: simulation of spectrally broadband synaptic inputs
Neuroscience, vol. 126, no. 4, pp. 1063–1073, 2004
Dynamical synaptic plasticity: a model and connection to some experiments
Biological Cybernetics, vol. 88, no. 3, pp. 229–235, 2003
Biophysical model of synaptic plasticity dynamics
Biological Cybernetics, vol. 89, no. 3, pp. 214–226, 2003
Robustness and enhancement of neural synchronization by activity-dependent coupling
Physical Review E, vol. 67, no. 2, 2003
Spatial representation of temporal information through spike-timing-dependent plasticity
Physical Review E, vol. 68, no. 1, 2003
Journal of Computational Neuroscience, vol. 15, no. 2, pp. 271–281, 2003
Dynamical model of long-term synaptic plasticity
Proceedings of the National Academy of Sciences, vol. 99, no. 15, pp. 10132–10137, 2002
Recovery of hidden information through synaptic dynamics
Network: Computation in Neural Systems, vol. 13, no. 4, pp. 487–501, 2002
False neighbors and false strands: A reliable minimum embedding dimension algorithm
Physical Review E, vol. 66, no. 2, 2002
When are synchronization errors small?
Physical Review E, vol. 66, no. 3, 2002
Spatio-temporal patterns of network activity in the inferior olive
Neurocomputing, vol. 44-46, no. 1-4, pp. 685–690, 2002
Synaptic Modulation of the Interspike Interval Signatures of Bursting Pyloric Neurons
Journal of Neurophysiology, vol. 89, no. 3, pp. 1363–1377, 2002
ODOR ENCODING AS AN ACTIVE, DYNAMICAL PROCESS: Experiments, Computation, and Theory
Annual Review of Neuroscience, vol. 24, no. 1, pp. 263–297, 2001
Dynamical Encoding by Networks of Competing Neuron Groups: Winnerless Competition
Physical Review Letters, vol. 87, no. 6, 2001
Synchronization and communication using semiconductor lasers with optoelectronic feedback
IEEE Journal of Quantum Electronics, vol. 37, no. 10, pp. 1301–1311, 2001
Regularization mechanisms of spiking–bursting neurons
Neural Networks, vol. 14, no. 6-7, pp. 865–875, 2001
Model of Transient Oscillatory Synchronization in the Locust Antennal Lobe
Neuron, vol. 30, no. 2, pp. 553–567, 2001
Model of Cellular and Network Mechanisms for Odor-Evoked Temporal Patterning in the Locust Antennal Lobe
Neuron, vol. 30, no. 2, pp. 569–581, 2001
Distribution of mutual information
Physics Letters A, vol. 281, no. 5-6, pp. 368–373, 2001
Extended dynamic clamp: controlling up to four neurons using a single desktop computer and interface
Journal of Neuroscience Methods, vol. 108, no. 1, pp. 39–48, 2001
Dynamics of two electrically coupled chaotic neurons: Experimental observations and model analysis
Biological Cybernetics, vol. 84, no. 2, pp. 91–101, 2001
Topology selection by chaotic neurons of a pyloric central pattern generator
Biological Cybernetics, vol. 84, no. 1, pp. L1–L8, 2001
Neurodynamics: nonlinear dynamics and neurobiology
Current Opinion in Neurobiology, vol. 11, no. 4, pp. 423–430, 2001
Synchronous behavior of two coupled electronic neurons
Physical Review E, vol. 62, no. 2, pp. 2644–2656, 2000
Information transmission and recovery in neural communications channels
Physical Review E, vol. 62, no. 5, pp. 7111–7122, 2000
Synchronization of chaotic oscillations in doped fiber ring lasers
Physical Review E, vol. 63, no. 1, 2000
Modeling observed chaotic oscillations in bursting neurons: the role of calcium dynamics and IP 3
Biological Cybernetics, vol. 82, no. 6, pp. 517–527, 2000
Slow regularization through chaotic oscillation transfer in an unidirectional chain of Hindmarsh–Rose models
Physics Letters A, vol. 266, no. 1, pp. 88–93, 2000
Dynamical coding of sensory information with competitive networks
Journal of Physiology-Paris, vol. 94, no. 5-6, pp. 465–471, 2000
Reliable circuits from irregular neurons: A dynamical approach to understanding central pattern generators
Journal of Physiology-Paris, vol. 94, no. 5-6, pp. 357–374, 2000
Chaotic pulse position modulation: a robust method of communicating with chaos
IEEE Communications Letters, vol. 4, no. 4, pp. 128–130, 2000
International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 10, no. 5, p. 913, 2000
Slow dynamics and regularization phenomena in ensembles of chaotic neurons
Physica A: Statistical Mechanics and its Applications, vol. 263, no. 1-4, pp. 405–414, 1999
Spatial clusters of synchronization in neural networks of chaotic spiking-bursting neurons
Computer Physics Communications, vol. 121-122, pp. 745–745, 1999
Chaos and predictability in ocean water levels
Journal of Geophysical Research, vol. 104, no. C4, pp. 7935–7952, 1999
Interstation prediction of ocean water levels using methods of nonlinear dynamics
Journal of Geophysical Research, vol. 104, no. C6, pp. 13653–13666, 1999
Chaotic dynamics in erbium-doped fiber ring lasers
Physical Review A, vol. 60, no. 3, pp. 2360–2374, 1999
Computer simulations of stimulus dependent state switching in basic circuits of bursting neurons
Physical Review E, vol. 58, no. 5, pp. 6418–6430, 1998
The role of chaos in neural systems
Neuroscience, vol. 87, no. 1, pp. 5–14, 1998
Nonlinear analysis of epileptic activity in rabbit neocortex
Biological Cybernetics, vol. 78, no. 1, pp. 37–44, 1998
Basic Principles for Generating Motor Output in the Stomatogastric Ganglion
Annals of the New York Academy of Sciences, vol. 860, no. 1 NEURONAL MECH, pp. 35–50, 1998
Obtaining order in a world of chaos [signal processing]
IEEE Signal Processing Magazine, vol. 15, no. 3, pp. 49–65, 1998
Synchronizing High-Dimensional Chaotic Optical Ring Dynamics
Physical Review Letters, vol. 80, no. 14, pp. 3153–3156, 1998
Synchronous Behavior of Two Coupled Biological Neurons
Physical Review Letters, vol. 81, no. 25, pp. 5692–5695, 1998
Robustness and stability of synchronized chaos: an illustrative model
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 44, no. 10, pp. 867–873, 1997
Self-regularization of chaos in neural systems: experimental and theoretical results
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 44, no. 10, pp. 997–1005, 1997
Small force control of nonlinear systems to given orbits
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 44, no. 10, pp. 1018–1023, 1997
Tools for the Analysis of Chaotic Data
Annals of the New York Academy of Sciences, vol. 808, no. 1 Nonlinear Sig, pp. 1–17, 1997
Optimal control of nonlinear systems to given orbits
Systems & Control Letters, vol. 31, no. 5, pp. 263–276, 1997
Influence of noise on chaotic laser dynamics
Physical Review E, vol. 55, no. 6, pp. 6483–6500, 1997
Spike-train bifurcation scaling in two coupled chaotic neurons
Physical Review E, vol. 55, no. 3, pp. R2108–R2110, 1997
Generalized synchronization of chaos: The auxiliary system approach
Physical Review E, vol. 53, no. 5, pp. 4528–4535, 1996
Nonlinear-time-series analysis of chaotic laser dynamics
Physical Review A, vol. 53, no. 1, pp. 440–453, 1996
Nonlinear dynamics of the Great Salt Lake: Dimension estimation
Water Resources Research, vol. 32, no. 1, pp. 149–160, 1996
Nonlinear dynamics of the Great Salt Lake: Nonparametric short-term forecasting
Water Resources Research, vol. 32, no. 4, pp. 975–986, 1996
Nonlinear dynamics of the Great Salt Lake: system identification and prediction
Climate Dynamics, vol. 12, no. 4, pp. 287–297, 1996
Nonlinear dynamics and the great salt lake: a predictable indicator of regional climate
Energy, vol. 21, no. 7-8, pp. 655–665, 1996
Nonlinear analysis of environmental distortions of continuous wave signals in the ocean
The Journal of the Acoustical Society of America, vol. 99, no. 1, p. 139, 1996
Chaos in ocean ambient ‘‘noise’’
The Journal of the Acoustical Society of America, vol. 99, no. 3, p. 1527, 1996
Vortex filament stability and boundary layer dynamics
Physical Review E, vol. 50, no. 2, pp. 1206–1218, 1994
High Reynolds number boundary layer chaos
Physical Review Letters, vol. 72, no. 15, pp. 2383–2386, 1994
Symmetric truncations of the shallow-water equations
Physical Review E, vol. 48, no. 5, pp. 3643–3655, 1993
The analysis of observed chaotic data in physical systems
Reviews of Modern Physics, vol. 65, no. 4, pp. 1331–1392, 1993
Secure communications and unstable periodic orbits of strange attractors
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, vol. 40, no. 10, pp. 643–645, 1993
International Journal of Bifurcation and Chaos [in Applied Sciences and Engineering], vol. 3, no. 3, p. 543, 1993
Local Lyapunov exponents computed from observed data
Journal of Nonlinear Science, vol. 2, no. 3, pp. 343–365, 1992
Variation of Lyapunov exponents on a strange attractor
Journal of Nonlinear Science, vol. 1, no. 2, pp. 175–199, 1991
Noise reduction in chaotic time series using scaled probabilistic methods
Journal of Nonlinear Science, vol. 1, no. 3, pp. 313–343, 1991
Computing the Lyapunov spectrum of a dynamical system from an observed time series
Physical Review A, vol. 43, no. 6, pp. 2787–2806, 1991
Prediction in chaotic nonlinear systems: Methods for time series with broadband Fourier spectra
Physical Review A, vol. 41, no. 4, pp. 1782–1807, 1990
Lyapunov exponents from observed time series
Physical Review Letters, vol. 65, no. 13, pp. 1523–1526, 1990
Hamiltonian formulation of inviscid flows with free boundaries
Physics of Fluids, vol. 31, no. 10, p. 2802, 1988
Nonlinear stability analysis of inviscid flows in three dimensions: Incompressible fluids and barotropic fluids
Physics of Fluids, vol. 30, no. 11, p. 3369, 1987
Hamiltonian structures for smooth vector fields
Physics Letters A, vol. 124, no. 4-5, pp. 281–286, 1987
Nonlinear Stability Analysis of Stratified Fluid Equilibria
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), vol. 318, no. 1543, pp. 349–409, 1986
Richardson Number Criterion for the Nonlinear Stability of Three-Dimensional Stratified Flow
Physical Review Letters, vol. 52, no. 26, pp. 2352–2355, 1984
Universality and strange attractors in internal-wave dynamics
Journal of Fluid Mechanics, vol. 135, no. -1, p. 407, 1983
Correlations of periodic, area-preserving maps
Physica D: Nonlinear Phenomena, vol. 6, no. 3, pp. 375–384, 1983
Strong coupling expansions for nonintegrable hamiltonian systems
Physica D: Nonlinear Phenomena, vol. 5, no. 2-3, pp. 307–321, 1982
Finite resolution approximation to the asymptotic distribution for dynamical systems
Physics Letters A, vol. 89, no. 2, pp. 55–58, 1982
Diffusion in very chaotic hamiltonian systems
Physics Letters A, vol. 82, no. 8, pp. 378–382, 1981
Non-linear diffusion in Hamiltonian systems exhibiting chaotic motion
Physica D: Nonlinear Phenomena, vol. 4, no. 1, pp. 89–104, 1981
Classical Hamiltonian perturbation theory without secular terms or small denominators
Physica D: Nonlinear Phenomena, vol. 1, no. 3, pp. 306–316, 1980
Scattering from a random surface
The Journal of the Acoustical Society of America, vol. 68, no. 5, p. 1459, 1980
Self-consistent ß functions in asymptotically free massless field theory
Nuclear Physics B, vol. 130, no. 1, pp. 29–37, 1977
Diffraction scattering of hadrons: The theoretical outlook
Reviews of Modern Physics, vol. 48, no. 3, pp. 435–465, 1976
Asymptotic Behavior of Particle Distributions in Hadron Collisions
Physical Review D, vol. 3, no. 9, pp. 2227–2241, 1971
Laplace Transforms and the Diagonalization of Bethe-Salpeter Equations for Absorptive Parts
Physical Review D, vol. 2, no. 4, pp. 711–716, 1970