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[PDF] Top 20 Nonsmooth dynamics in spiking neuron models

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Nonsmooth dynamics in spiking neuron models

Nonsmooth dynamics in spiking neuron models

... popular models of IF type that are currently being used as models of spiking ...that nonsmooth bifurcations play a fundamental role in the description of their behaviour we present an analysis ... See full document

16

Deterministic and stochastic dynamics of multi variable neuron models : resonance, filtered fluctuations and sodium current inactivation

Deterministic and stochastic dynamics of multi variable neuron models : resonance, filtered fluctuations and sodium current inactivation

... The outline of the chapter is as follows. We begin in Sec. 2.2.1 with biolog- ical evidence for resonant neurons as well as the motivation for the model. Then in Secs. 2.4 and 2.5, we introduce the RF model using the ... See full document

204

A Rate-Reduced Neuron Model for Complex Spiking Behavior

A Rate-Reduced Neuron Model for Complex Spiking Behavior

... field models, the network architecture is represented by connectivity functions and the corresponding transmission delays, while differential operators characterize synaptic ...field models incorporate ... See full document

18

Spiking Activity of a LIF Neuron in Distributed Delay Framework

Spiking Activity of a LIF Neuron in Distributed Delay Framework

... a neuron suggested in literature [1–5]. Among these neuron models, Leaky integrate-and-fire (LIF) model has become a backbone for theoretical as well as experimental investigation of neuronal ... See full document

7

Temporal Information Processing and Stability Analysis of the MHSN Neuron Model in DDF

Temporal Information Processing and Stability Analysis of the MHSN Neuron Model in DDF

... biophysical dynamics and information processing functionality of the brain since last six decades, so that an artificial brain like structure can be implemented at software as well as at hardware level [5, 6, 7, ... See full document

6

Simplified spiking neural network architecture and STDP learning algorithm applied to image classification

Simplified spiking neural network architecture and STDP learning algorithm applied to image classification

... one neuron, with classes along X axis. Before training, every neuron is firing in several classes, and after the train- ing, each neuron has a discriminative high spike rate only in one ...SRM ... See full document

11

Electrically-controlled neuron-like spiking regimes in vertical-cavity surface-emitting lasers at ultrafast rates

Electrically-controlled neuron-like spiking regimes in vertical-cavity surface-emitting lasers at ultrafast rates

... neuronal models using wavelength controlled optical stimuli to trigger the spiking responses ...for spiking optical neuronal models using VCSELs [25][49], or other types of SLs (see [30] and ... See full document

7

Discrimination and control in stochastic neuron models

Discrimination and control in stochastic neuron models

... suprathreshold spiking dynamics which interacts with and resonates with an ”integrate-and-fire” like component of the ...pyramidal neuron (Galarreta and Hes- trin 1999; Gibson, Beierlein et ... See full document

201

Computational geometry for modeling neural populations: From visualization to simulation

Computational geometry for modeling neural populations: From visualization to simulation

... point spiking neuron models that defines the state of the population in terms of a density function over the neural state ...Novel models can be studied without even recompiling the ...neural ... See full document

41

Controlled inhibition of spiking dynamics in VCSELs for neuromorphic photonics : theory and experiments

Controlled inhibition of spiking dynamics in VCSELs for neuromorphic photonics : theory and experiments

... higher interest, since SLs can undergo behaviours analogous to those of neurons, such as excitability [34-36] and complex dynamics [37][38] but at timescales 7 to 9 orders of magnitude faster. Different types of ... See full document

6

A mean field model for movement induced changes in the beta rhythm

A mean field model for movement induced changes in the beta rhythm

... single neuron models for describing the spiking dynamics of cortical cells, many of which are extensions of the basic Hodgkin-Huxley model to incorporate nonlinear ionic currents that allow ... See full document

16

Computing with spiking neuron networks a review

Computing with spiking neuron networks a review

... a neuron fires pulses is abstracted to a scalar activity-value, or output, assigned to the ...particular neuron is a function of the sum of the weighted outputs of the neurons it receives input ... See full document

21

Homeostatic Fault Tolerance in Spiking Neural Networks : A Dynamic Hardware Perspective

Homeostatic Fault Tolerance in Spiking Neural Networks : A Dynamic Hardware Perspective

... Various models of intrinsic homeostatic plasticity have also been ...a neuron monitors its input activities and switches between predetermined intrinsic ... See full document

14

Ill-Posed Point Neuron Models

Ill-Posed Point Neuron Models

... Abstract We show that point-neuron models with a Heaviside firing rate function can be ill posed. More specifically, the initial-condition-to-solution map might be- come discontinuous in finite time. ... See full document

21

Spiking neuron models of the medial and lateral superior olive for sound localisation

Spiking neuron models of the medial and lateral superior olive for sound localisation

... the MSO as an excitatory innervation, see Fig. 1. MSO cell types are primarily excited ( excited (EE), i.e. they receive excitatory innervation from both ears, and their main functionality is to work as coincidence ... See full document

7

Application of nonsmooth modelling techniques to the dynamics of a flexible impacting beam

Application of nonsmooth modelling techniques to the dynamics of a flexible impacting beam

... vibro-impact dynamics of beams has been developed [8, 9, ...nonlinear dynamics of a beam subject to harmonic and magnetic forcing, using a Galerkin method to reduce the system to a single degree of freedom ... See full document

36

Fundamental Limits of Forced Asynchronous Spiking with Integrate and Fire Dynamics

Fundamental Limits of Forced Asynchronous Spiking with Integrate and Fire Dynamics

... of spiking in pairs of Leaky Integrate-and-Fire (LIF) neurons, where the desired spiking is selective, that is, certain neurons spike while others remain ...for neuron-level control as revealed ... See full document

37

MEMBRAIN NEURAL NETWORK FOR VISUAL PATTERN RECOGNITION

MEMBRAIN NEURAL NETWORK FOR VISUAL PATTERN RECOGNITION

... environment. Vectors of input and output data were generated with help of “lesson editor” tool (Figure 2). Asample of one pattern visualization was presented in Figure 3. Training algorithm - Standard Back Propagation ... See full document

6

FPGA Based Platform for Spiking Neural Network

FPGA Based Platform for Spiking Neural Network

... Fig. 5shows a simple block diagram of a single digital Processing Node (PN), which includes some of the major arithmetic and memory components required for implementing the neuron model specified. The basic ... See full document

9

Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics

Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics

... discretization of the governing Euler equations leads to a nonsmooth nonlinear equation.. W e2[r] ... See full document

15

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