Scholarpedia

• Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopedia

• Instructions for authors
• Sample articles
  • Izhikevich E.M. (2006) Bursting. Scholarpedia, (not reviewed yet)

The period February 4, 2006 to August 1, 2006 is invitation-only. That is, only curators of Scholarpedia, 
who are invited by the Editor-in-Chief or other curators, can author and curate articles in Scholarpedia. 
After August 1, 2006, any registered visitor can author and subsequently curate articles in Scholarpedia.

Official opening of Encyclopedia of computational neuroscience: October 1, 2006

---

Neuroscience History of neuroscience Neuronal excitability Electrophysiology Nernst potential Equivalent circuit Current-voltage relationship Goldman-Hodgkin-Katz equation Voltage-gated currents Rheobase Excitability Action potential Classification of excitability Frequency-current relationship Excitation block Threshold Rebound response Firing patterns Spike latency Spike time variability Gain modulation Neuronal bistability Up and down states Plateau potential Bursting Calcium dynamics Dynamic clamp Current clamp Voltage clamp Conductance clamp Hodgkin-Frankenhaeuser layer Intrinsic plasticity Neuromodulation Neural oscillator Pacemaker Subthreshold oscillation Stochastic channel model Models of neurons Compartmental models Cable equation Equivalent cylinder Conductance-based models Dendritic processing Dendritic excitability Back-propagating spikes Firing rate model FitzHugh-Nagumo model GENESIS Hodgkin-Huxley model Integrate-and-fire neuron Large-scale brain models Morris-Lecar model Neural simulation language Noble model NEURON Resonate-and-fire neuron Young model Spike-response model Network dynamics Binding Brain rhythms Calcium wave Cell assemblies Central pattern generation Half-center oscillator Epilepsy Memory replay Network bistability Neuronal avalanche Neuronal code Interval code Population code Rate code Temporal code Persistent activity Polychrony Respiration Simulated in vivo condition Synchrony Synfire chain Thalamocortical oscillations Sleep oscillations Circuits Cultured network Reward circuit Stomatogastric system Thalamocortical microcircuit Synapse Homeostatic plasticity Synaptic plasticity Hebbian plasticity LTP LTD Sliding threshold rule Short-term plasticity Neuromodulation Spike-timing dependent plasticity Structural plasticity Spines Synapse Neurotransmitters Receptors Alpha function Quantal synaptic transmission Dendro-dendritic synapse Gap junction Synaptic integration Transmission failure Silent synapse Synaptic turnover Cognition and behavior Associative memory Attention Behaviorism Brain-mind problem Categorization Cognitive map Conditioning Connectionism Emotion Gestalt Habituation Hemispheric specialization Imitation Language Learning Memory Metaphor Motivation Music Reward Short-term memory Working memory Consciousness Anesthesia Animal consciousness Binding problem Conscious artifact Dynamic core Global workspace Philosophy of consciousness Intentionality Mind-body problem Neural correlates of consciousness Neural Darwinism Qualia Self models Sleep and dreaming Zombie Sensory-motor system Action sequence learning Brain-machine interface Cerebellar control Insect flight control Motoneurons Motor control Equilibrium point hypothesis Locomotion Motor learning Motor primitive Reflex Sensory system Auditory system Barrel cortex Echolocation Electrolocation Olfaction Somatosensory system Somatotopy Taste Vision Binocular vision Binocular rivalry Ocular dominance Color perception Contour perception Directional selectivity Masking Ocular-motor coordination Orientation columns Retina Receptive field Saccade Visual attention Visual cognition Visual illusion Visual motion Visual perception Visual plasticity Visual processing Visual pursuit Anatomy and physiology Brain atlas Computational neuroanatomy Neocortex Cortical cell types Thalamus Hippocampus Cerebellum Basal Ganglia Midbrain Limbic system Olfactory Bulb Retina Spinal Cord Neuroimaging Brain mapping Electroencephalogram Volume conduction Event-related potential Functional magnetic resonance imaging Intracellular recording Sharp electrode Path-clamp Magnetoencephalogram Microelectrode array Multiunit activity Local field potential Near infrared imaging Positron emission tomography Source localization Development Activity-dependent plasticity Axonal growth and guidance Dendritic branching Development of retinotectal map Development of sensory systems Neurogenesis Synaptogenesis Glia Myelination

Dynamical Systems History of nonlinear science Phase space Dynamical system Vector-field Trajectory Equilibrium Periodic orbit Phase portrait Stability Invariant set Attractor Attraction domain Separatrix Bistability Hysteresis Linear analysis Asymptotic methods Averaging Multiple scale analysis Perturbation theory Oscillators Bursting Central pattern generation Half-center oscillators Chaotic oscillator Lorenz model Rossler model Hilbert transform Chemical oscillator Belousov-Zhabotinsky reaction Brusselator Oregonator Circadian clock Chua's circuit Delay-differential equation Feedback control FitzHugh-Nagumo model McKean model Heart muscle Hodgkin-Huxley model Integrate-and-fire neuron Exponential integrate-and-fire neuron Leaky integrate-and-fire neuron Quadratic integrate-and-fire neuron Theta neuron Josephson junction Mitotic cycle Morris-Lecar model Quasi-periodic oscillator Periodic orbit Bendixson criteria Floquet theory Isochron Phase oscillator Predator-Prey model Lotka-Volterra model Population dynamics Pendulum Radial clock Rotator Relaxation oscillator Nullcline Duffing oscillator Lienard oscillator van der Pol oscillator Weakly nonlinear oscillator Wilson-Cowan model Synchronization Burst synchronization Chain of oscillators Fast threshold modulation Gate control Kuramoto phase model Malkin theorem Mean-field synchronization Resonance Phase response curve Pulse coupled oscillators Slowly coupled oscillators Synchronization Arnold tongues Entrainment Generalized synchronization Locking Phase diffusion Rotation number Weakly coupled oscillators Pattern formation Breathers Cellular automata Excitable media Forest fire Gradient system Lyapunov function Hallucination Morphogenesis Reaction diffusion system Ginzburg-Landau equation Kuramoto-Sivashinsky equation Turing pattern Self-organization Order parameter Synergetics Stripe formation Symmetry breaking Symmetry group Traveling wave Evans function Zeldovich-Frank-Kamenetsky equation Noise and Chaos 1/f noise Attractor reconstruction Correlation dimension Embedding Lyapunov dimension Markov partition Unstable periodic orbits Billiards Chaos Butterfly effect Nonwandering set Recurrence Strange attractor Transitive set Coherence resonance Ergodic theory Entropy of ergodic system Invariant measure Fractals Cantor set Mandelbrot set Julia set Sierpinski triangle Intermittency KAM theory Lyapunov exponent Numerical methods Percolation theory Random walk Brownian motion Deterministic walk in random environment Resonance Self-organized criticality Avalanche Statistical mechanics Fokker-Planck equation Ising model Metropolis method Monte-Carlo method Stochastic dynamics Markov process Ornstein-Uhlenbeck process Renormalization Stochastic process Stochastic resonance Symbolic dynamics Bernoulli shift Smale horseshoe Sharkovsky theorem Turbulence Universality Bifurcation theory Andronov-Hopf bifurcation Andronov-Leontovich theorem AUTO Bautin bifurcation Bifurcations Bifurcation diagram Co-dimension Local vs. global bifurcation Normal form Phase transition Blue-sky catastrophe Bogdanov-Takens bifurcation Bursting Canard (French duck) solution Catastrophe theory Center-manifold reduction Cusp bifurcation Delayed loss of stability Excitability Hartman-Grobman theorem Heteroclinic bifurcation Homoclinic bifurcation Melnikov method Hopf-Hopf bifurcation Flip bifurcation Fold-Hopf bifurcation Fold limit cycle bifurcation MATCONT Neimark-Sacker bifurcation Period doubling Pitchfork bifurcation Saddle-node bifurcation Shilnikov bifurcation Singularity theory Structural stability Transcritical bifurcation Threshold XPPAUT Maps Circle map Poincaré-Denjoy theory Rotation number Coupled map lattice Hénon map Logistic map Map Cobweb diagram Difference equation Poincare return map Non-invertible map Simulation environment GENESIS LABVIEW MATCONT MATEMATICA MATLAB NEURON XPPAUT

Neural Networks History of artificial neural networks Spiking networks Coincidence detection Neuronal code Interval code Population code Rate code Temporal code Polychrony Transmission delay Pulsed coupled neural networks Spike timing dependent plasticity Spiking neurons Synchrony Synfire chain Recurrent networks Associative memory* Attractor network Boltzmann machine Brain-state-in-a-box Cauchy machine Cellular neural network Chaotic network Dynamic link architecture Excitatory-inhibitory network GasNet network Gaussian machine Helmholtz machine Hopfield network Liquid state machine Oscillatory associative memory Scale-free network Simulated annealing Small-world network Winner-take-all Feedforward networks Adaline Bayesian learning Counterpropagation Delta learning rule Error back-propagation Kernel based learning Kolmogorov theorem Neocognitron McCulloch-Pitts neuron Minimum description length Multilayer network Pattern recognition Perceptron Radial basis function Supervised learning Support vector machine Universal approximator Vapnik-Chervonenkis dimension Unsupervised learning Adaptive resonance theory Clustering Hebbian learning rule Self-organizing maps Reinforcement learning Conditioning Actor-critic method Adaptive critic Dynamic programming Eligibility trace Q-learning Temporal difference learning Exploration vs. exploitation Evolutionary computation Artificial life Artificial immune system Neural Darwinism Evolutionary robotics Game of life Genetic algorithms Swarm intelligence Particle swarm Ant colony Artificial intelligence Adaptive filter Alpha-beta pruning Belief network Cybernetics Decision network Expert system Game theory Graph theory Graphical model Formal grammar Heuristics Intelligent agent Knowledge representation Formal language Logical reasoning McCulloch-Pitts neuron Multiagent system NP-completeness Optimization Planing and acting Probabilistic reasoning Representation theory Queuing Robotics Search method Semantic network Schema theory Situation calculus Syntax and parsing Theorem prover Traveling salesman problem Turing test Utility theory Information Theory Bayesian statistics Bootstrap Causality Cryptology Data compression Entropy Entropy of spike train Differential entropy Fourier analysis Spectrogram Wavelet analysis Fuzzy logic Gaussian process Hidden Markov model Independent component analysis Inference Information Mutual information Noisy channel Kolmogorov entropy Maximum likelihood Monte Carlo method Noise Nyquist frequency Oversampling Poisson process Principal component analysis Probability Reverse correlation Wiener kernel Sampling theory Signal-to-noise ratio Pattern recognition Clustering Data mining Face recognition Feature analysis Handwriting recognition Image processing Image segmentation Kalman filter Machine vision Object recognition Preprocessing Sensor fusion Signal processing Speech recognition Time series analysis Vector quantization Visual binding Navigation Biologically inspired robotics Brain-based device Goal directed behavior Hippocampal place cell Navigation in Ants and Bees Path integration SLAM Hardware Animats Brain-computer interface Neurocomputer Neural prosthesis Neuromorphic engineering Phenotype Reconfigurable networks Robotics Silicon neuron VLSI implementation of neural networks

Sponsored by: Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopedia

Reviewed by: Anonymous

Accepted on: 2006-02-05 09:31:28 GMT