To investigate the effect of electromagnetic induction on the electrical activity of neuron, the variable for magnetic flow is used to improve Hindmarsh-Rose neuron model. Simultaneously, due to the existence of time-delay when signals are propagated between neurons or even in one neuron, it is important to study the role of time-delay in regulating the electrical activity of the neuron. For th...

Strange hyperbolic attractors are hard to find in real physical systems. This paper provides the first example of a realistic system, a canonical three-dimensional (3D) model of bursting neurons, that is likely to have a strange hyperbolic attractor. Using a geometrical approach to the study of the neuron model, we derive a flow-defined Poincaré map giving an accurate account of the system’s dy...

Common coding is a functional principle that underlies the mirror neuron paradigm. It insures actual parity between perception and action, since the perceived and performed actions are equivalently and simultaneously represented within the mirror neuron system. Based on the parity of this representation we show how the mirror neuron system may facilitate the interaction between two robots. Sync...

The paper investigates a new type of truly critical echo state networks where individual transfer functions for every neuron can be modified to anticipate the expected next input. Deviations from expected input are only forgotten very slowly in power law fashion. The paper outlines the theory, numerically analyzes a one neuron model network and finally discusses technical and also biological im...

A network based on the Inverse Function Delayed (ID) model, which can recall a temporal sequence of patterns, is proposed. The classical problem, that the network is forced to make long distance jumps due to strong attractors that have to be isolated from each other, is solved by the introduction of the ID neuron. The ID neuron has negative resistance in its dynamics, which makes a gradual chan...

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Automatic speech recognition (ASR) is an area where the task is to assign the correct phoneme or word sequence to an utterance. The idea behind the ASR segment-based approach is to treat one phoneme as a whole unit in every respect, in contrast with the framebased approach where it is divided into equal-sized, smaller chunks. Doing this has many advantages, but also gives rise to some new probl...

Probability density function of output interspike intervals is found in exact form for leaky integrate and fire neuron stimulated with Poisson stream. The diffusion approximation is not exploited.

We present a physiologically plausible spiking neuron-level model of the superior colliculus as part of the saccade-generating visual system. Two major features of the area are the bursting behavior of its output neurons that drive eye movements, and the spreading neuron activation in the intermediate layer during a saccade. We show that the bursting activity profile that drives the main sequen...