Renewal theory of coupled neuronal pools: stable states and slow trajectories.
نویسنده
چکیده
A theory is provided to analyze the dynamics of delay-coupled pools of spiking neurons based on stability analysis of stationary firing. Transitions between stable and unstable regimes can be predicted by bifurcation analysis of the underlying integral dynamics. Close to the bifurcation point the network exhibits slowly changing activities and allows for slow collective phenomena like continuous attractors.
منابع مشابه
A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE $P$-TH ROOT
The computation of the inverse roots of matrices arises in evaluating non-symmetriceigenvalue problems, solving nonlinear matrix equations, computing some matrixfunctions, control theory and several other areas of applications. It is possible toapproximate the matrix inverse pth roots by exploiting a specialized version of New-ton's method, but previous researchers have mentioned that some iter...
متن کاملMeasuring the Similarity of Trajectories Using Fuzzy Theory
In recent years, with the advancement of positioning systems, access to a large amount of movement data is provided. Among the methods of discovering knowledge from this type of data is to measure the similarity of trajectories resulting from the movement of objects. Similarity measurement has also been used in other data mining methods such as classification and clustering and is currently, an...
متن کاملRegenerative compositions in the case of slow variation: A renewal theory approach
A regenerative composition structure is a sequence of ordered partitions derived from the range of a subordinator by a natural sampling procedure. In this paper, we extend previous studies [1, 8, 12] on the asymptotics of the number of blocks Kn in the composition of integer n, in the case when the Lévy measure of the subordinator has a property of slow variation at 0. Using tools from the rene...
متن کاملStable synchronised states of coupled Tchebyscheff maps
Coupled Tchebyscheff maps have recently been introduced to explain parameters in the standard model of particle physics, using the stochastic quantisation of Parisi and Wu. This paper studies dynamical properties of these maps, finding analytic expressions for a number of periodic states and determining their linear stability. Numerical evidence is given for nonlinear stability of some of these...
متن کاملمطالعه انتشار همدوس لپتون‌های باردار ناشی از واپاشی پایون و W بوزون در مکانیک بوهمی
Although charged leptons, contrary to neutrinos, cannot oscillate, exploring whether a coherent superposition of charged lepton states can change to others during the propagation is an important problem in the neutrino oscillation theory. In this paper, we consider electrons and muons coming from the pions and W decays and study their propagation in relativistic Bohmian quantum mechanics. We f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 84 3 Pt 1 شماره
صفحات -
تاریخ انتشار 2011