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When rats were trained to jump up to the rim of a box, place cells displayed phase precession much as they do during movement along a path, but a subset of the place cells showed phase precession that was related to initiating the jump, independently of spatial location, and not related to the position during the jump. [12]
An attractor network is a type of recurrent dynamical network, that evolves toward a stable pattern over time.Nodes in the attractor network converge toward a pattern that may either be fixed-point (a single state), cyclic (with regularly recurring states), chaotic (locally but not globally unstable) or random (). [1]
The phase space is the horizontal complex plane; the vertical axis measures the frequency with which points in the complex plane are visited. The point in the complex plane directly below the peak frequency is the fixed point attractor. A fixed point of a function or transformation is a point that is mapped to itself by the function or ...
A grid cell is a type of neuron within the ... which has a frequency range of ... the presence of 1-dimensional attractor network composed of stellate cells. ...
In the most popular version of the Kuramoto model, each of the oscillators is considered to have its own intrinsic natural frequency, and each is coupled equally to all other oscillators. Surprisingly, this fully nonlinear model can be solved exactly in the limit of infinite oscillators, N → ∞; [ 5 ] alternatively, using self-consistency ...
A cellular automaton consists of a regular grid of cells, each in one of a finite number of states, such as on and off (in contrast to a coupled map lattice). The grid can be in any finite number of dimensions. For each cell, a set of cells called its neighborhood is defined relative to the specified cell.
Ring attractors – neural integration: spatial orientation; Plane attractors – neural integration: (higher dimension of oculomotor control) Cyclic attractors – central pattern generators; Chaotic attractors – recognition of odors and chaos is often mistaken for random noise. Please see Scholarpedia's page for a formal review of attractor ...
The properties of the head direction system - particularly its persistence in the dark, and also the constant relationship of firing directions between cells regardless of environmental changes - suggested to early theoreticians the still-accepted notion that the cells might be organized in the form of a ring attractor, including simultaneously ...