Stochastic synchronization of neural activity waves
نویسندگان
چکیده
منابع مشابه
Stochastic synchronization of neural activity waves.
We demonstrate that waves in distinct layers of a neuronal network can become phase locked by common spatiotemporal noise. This phenomenon is studied for stationary bumps, traveling waves, and breathers. A weak noise expansion is used to derive an effective equation for the position of the wave in each layer, yielding a stochastic differential equation with multiplicative noise. Stability of th...
متن کاملSynchronization control of stochastic delayed neural networks
In this paper, synchronization control of stochastic neural networks with time-varying delays has been considered. A novel control method is given using the Lyapunov functional method and linear matrix inequality (LMI) approach. Several sufficient conditions have been derived to ensure the global asymptotical stability in mean square for the error system, and thus the drive system synchronize w...
متن کاملStochastic Neural Activity
The activity of a neuron subjected to an input of many small excitatory and inhibitory pulses is analysed. The theoretical model consists of a linear or nonlinear first order system followed by a threshold. Diffusion equations for the transition probability density of the somatic potential are derived. Analytical results for the stationary activity include expressions for the stationary distrib...
متن کاملStochastic synchronization of coupled neural networks with intermittent control
Article history: Received 19 April 2009 Received in revised form 3 July 2009 Accepted 7 July 2009 Available online 10 July 2009 Communicated by A.R. Bishop PACS: 05.40.-a 05.45.-a 05.45.Xt
متن کاملSynchronization of Discrete-Time Stochastic Neural Networks with Random Delay
By using a Lyapunov-Krasovskii functional method and the stochastic analysis technique, we investigate the problem of synchronization for discrete-time stochastic neural networks DSNNs with random delays. A control law is designed, and sufficient conditions are established that guarantee the synchronization of two identical DSNNs with random delays. Compared with the previous works, the time de...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review E
سال: 2015
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.91.040701