Results 61 to 70 of about 1,233,620 (143)

Stationary localized states due to nonlinear impurities described by the modified discrete nonlinear Schr\"odinger equation

open access: yes, 1999
The modified discrete nonlinear Schr\"odinger equation is used to study the formation of stationary localized states in a one-dimensional lattice with a single impurity and an asymmetric dimer impurity.
Aceves   +25 more
core   +1 more source

Stability of Stochastic Delayed Recurrent Neural Networks

open access: yesMathematics
This paper addresses the stability of stochastic delayed recurrent neural networks (SDRNNs), identifying challenges in existing scalar methods, which suffer from strong assumptions and limited applicability.
Hongying Xiao   +3 more
doaj   +1 more source

Analysis of stability for stochastic delay integro-differential equations

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
doaj   +1 more source

The Convergence and MS Stability of Exponential Euler Method for Semilinear Stochastic Differential Equations

open access: yesAbstract and Applied Analysis, 2012
The numerical approximation of exponential Euler method is constructed for semilinear stochastic differential equations (SDEs). The convergence and mean-square (MS) stability of exponential Euler method are investigated. It is proved that the exponential
Chunmei Shi, Yu Xiao, Chiping Zhang
doaj   +1 more source

A Multitask Diffusion Strategy with Optimized Inter-Cluster Cooperation

open access: yes, 2017
We consider a multitask estimation problem where nodes in a network are divided into several connected clusters, with each cluster performing a least-mean-squares estimation of a different random parameter vector.
Hu, Wuhua, Tay, Wee Peng, Wang, Yuan
core   +1 more source

Stability of Analytical and Numerical Solutions for Nonlinear Stochastic Delay Differential Equations with Jumps

open access: yesAbstract and Applied Analysis, 2012
This paper is concerned with the stability of analytical and numerical solutions for nonlinear stochastic delay differential equations (SDDEs) with jumps. A sufficient condition for mean-square exponential stability of the exact solution is derived. Then,
Qiyong Li, Siqing Gan
doaj   +1 more source

Predicting the thermodynamic stability of perovskite oxides using machine learning models

open access: yes, 2018
Perovskite materials have become ubiquitous in many technologically relevant applications, ranging from catalysts in solid oxide fuel cells to light absorbing layers in solar photovoltaics.
Jacobs, Ryan, Li, Wei, Morgan, Dane
core   +1 more source

Mean square exponential and non-exponential asymptotic stability of impulsive stochastic Volterra equations

open access: yesJournal of Inequalities and Applications, 2011
In this article, some inequalities on convolution equations are presented firstly. The mean square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using obtained inequalities on Liapunov function, including mean
Zhao Dianli, Han Dong
doaj  

Thermal Fluctuations, Subcritical Bifurcation, and Nucleation of Localized States in Electroconvection

open access: yes, 1998
Measurements of the mean-square amplitude of thermally-induced fluctuations of a thin layer of the nematic liquid crystal I52 subjected to a voltage V < Vc are reported.
Ahlers, Guenter, Bisang, Urs
core   +1 more source

Exponential Stability and Numerical Methods of Stochastic Recurrent Neural Networks with Delays

open access: yesAbstract and Applied Analysis, 2013
Exponential stability in mean square of stochastic delay recurrent neural networks is investigated in detail. By using Itô’s formula and inequality techniques, the sufficient conditions to guarantee the exponential stability in mean square of an ...
Shifang Kuang   +3 more
doaj   +1 more source

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