Search Results - "Abarbanel, H. D. I"
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Optical Imaging of Neuronal Populations During Decision-Making
Published in Science (American Association for the Advancement of Science) (11-02-2005)“…We investigated decision-making in the leech nervous system by stimulating identical sensory inputs that sometimes elicit crawling and other times swimming…”
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2
Learning classification in the olfactory system of insects
Published in Neural computation (01-08-2004)“…We propose a theoretical framework for odor classification in the olfactory system of insects. The classification task is accomplished in two steps. The first…”
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Integrating Recurrent Neural Networks With Data Assimilation for Scalable Data‐Driven State Estimation
Published in Journal of advances in modeling earth systems (01-03-2022)“…Data assimilation (DA) is integrated with machine learning in order to perform entirely data‐driven online state estimation. To achieve this, recurrent neural…”
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Improved variational methods in statistical data assimilation
Published in Nonlinear processes in geophysics (07-04-2015)“…Data assimilation transfers information from an observed system to a physically based model system with state variables x(t). The observations are typically…”
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Spike-Timing-Dependent Plasticity of Inhibitory Synapses in the Entorhinal Cortex
Published in Journal of neurophysiology (01-12-2006)“…1 Institute for Nonlinear Science and 2 Department of Physics and Marine Physical Laboratory (Scripps Institution of Oceanography), University of California,…”
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Symplectic structure of statistical variational data assimilation
Published in Quarterly journal of the Royal Meteorological Society (01-01-2017)“…Data assimilation variational principles (4D‐Var) exhibit a natural symplectic structure among the state variables x(t) and ẋ(t). We explore the implications…”
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7
Dynamical encoding by networks of competing neuron groups: winnerless competition
Published in Physical review letters (06-08-2001)“…Following studies of olfactory processing in insects and fish, we investigate neural networks whose dynamics in phase space is represented by orbits near the…”
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Nonlinear stability analysis of stratified fluid equilibria
Published in Philosophical Transactions of the Royal Society of London, Series A: Mathematical and Physical Sciences (11-07-1986)“…Nonlinear stability is analysed for stationary solutions of incompressible inviscid stratified fluid flow in two and three dimensions. Both the Euler equations…”
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9
Rate maintenance and resonance in the entorhinal cortex
Published in The European journal of neuroscience (01-12-2010)“…Throughout the brain, neurons encode information in fundamental units of spikes. Each spike represents the combined thresholding of synaptic inputs and…”
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Robustness and enhancement of neural synchronization by activity-dependent coupling
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-02-2003)“…We study the synchronization of two model neurons coupled through a synapse having an activity-dependent strength. Our synapse follows the rules of…”
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Regularization mechanisms of spiking–bursting neurons
Published in Neural networks (01-07-2001)“…An essential question raised after the observation of highly variable bursting activity in individual neurons of Central Pattern Generators (CPGs) is how an…”
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Dynamics of two electrically coupled chaotic neurons: experimental observations and model analysis
Published in Biological cybernetics (01-02-2001)“…Conductance-based models of neurons from the lobster stomatogastric ganglion (STG) have been developed to understand the observed chaotic behavior of…”
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Reliability and precision of neural spike timing: simulation of spectrally broadband synaptic inputs
Published in Neuroscience (2004)“…Spectrally broadband stimulation of neurons has been an effective method for studying their dynamic responses to simulated synaptic inputs. Previous studies…”
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Symplectic structure of statistical variational data assimilation: Symplectic Structure of Statistical Variational Data Assimilation
Published in Quarterly journal of the Royal Meteorological Society (01-01-2017)“…Not provided…”
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Variation of Lyapunov exponents on a strange attractor
Published in Journal of nonlinear science (01-06-1991)Get full text
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Estimating the state of a geophysical system with sparse observations: time delay methods to achieve accurate initial states for prediction
Published in Nonlinear processes in geophysics (16-01-2017)“…The problem of forecasting the behavior of a complex dynamical system through analysis of observational time-series data becomes difficult when the system…”
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Noise reduction in chaotic time series using scaled probabilistic methods
Published in Journal of nonlinear science (01-09-1991)Get full text
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18
Richardson number criterion for the nonlinear stability of three-dimensional stratified flow
Published in Physical review letters (25-06-1984)“…With use of a method of Arnol'd, the necessary and sufficient conditions for the formal stability of a parallel shear flow in a three-dimensional stratified…”
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Local Lyapunov exponents computed from observed data
Published in Journal of nonlinear science (01-09-1992)Get full text
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The analysis of observed chaotic data in physical systems
Published in Reviews of modern physics (01-10-1993)Get full text
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