In this paper we propose the use of neural interference as the origin of quantum-like effects in the brain. We do so by using a neural oscillator model consistent with neurophysiological data. The model used was shown elsewhere to reproduce well the predictions of behavioral stimulus-response theory. The quantum-like effects are brought about by the spreading activation of incompatible oscillat...

Tonic (d.c.) intracellular depolarization of the previously identified phasic paracerebral feeding command interneurones (PCps) in the brain of the carnivorous gastropod Pleurobranchaea causes oscillatory neural activity in the brain, both before and after transecting the cerebrobuccal connectives. Therefore, cycle-by-cycle ascending input from the buccal ganglion is not essential to cyclic bra...

This paper presents some examples of stabilization of periodic motions. First, the juggling motion controlled by a duplicated simple controller and neural oscillators is discussed. Next, the bipedal stepping motion of the human like lower body and trunk model is discussed. In this model, the stepping motion was accomplished with neural oscillator and simple posture controllers. At the last part...

We propose a hypothesis for the neural mechanism underlying theta phase precession of place cell firing, based on phase locking by mean field interactions in a coupled-oscillator system, followed by inheritance through the hippocampal circuit. It is demonstrated that the temporal pattern inherited through the network can result in encoding of the temporal sequence of experience as asymmetric co...

Contents Lectures in mathematical neuroscience 1 Lecture 1. Single neuron models 3 1.1. Conductance–based models 3 1.2. Periodically forced neural oscillator 6 1.3. Integrate–and–fire models 13 Lecture 2. Synaptic and dendritic processing 23 2.1. Excitatory and inhibitory synapses 23 2.2. Kinetic model of a synapse 27 2.3. Dendritic filtering of synaptic inputs 31 2.4. Synaptic plasticity 34 Le...

Populations of uncoupled limit-cycle oscillators receiving common random impulses show various types of phase-coherent states, which are characterized by the distribution of phase differences between pairs of oscillators. We develop a theory to predict the stationary distribution of pairwise phase differences from the phase response curve, which quantitatively encapsulates the oscillator dynami...

The vast majority of literature on control theory has focused on stability and certain regulation performances with respect to equilibrium points of dynamical systems. On the other hand, there are many practically important problems that are concerned with control specifications described by periodic motions. This paper makes an initial attempt to investigating the potential of biological oscil...

This paper presents a neural network approach for range image segmentation. We use a locally excitatory globally inhibitory oscillator network (LEGION) as the framework for range image segmentation. Each oscillator in the LEGION network has excitatory lateral connections to the oscillators in its neighborhood as well as a connection with a global inhibitor. The feature detector associated with ...

An oscillatory network of columnar architecture located in 3D spatial lattice was recently designed by the authors as oscillatory model of the brain visual cortex. Single network oscillator is a relaxational neural oscillator with internal dynamics tunable by visual image characteristics - local brightness and elementary bar orientation. It is able to demonstrate either activity state (stable u...

Using a model system of FitzHugh-Nagumo type in the excitable regime, the similarity between synchronization of self-sustained and noise-induced oscillations is studied for the case of more than one main frequency in the spectrum. It is shown that this excitable system undergoes the same frequency lockings as a self-sustained quasiperiodic oscillator. The presence of noise-induced both stable a...