In this paper, a tri–neuron network model with time delay is investigated. By using the Bendixson’s criterion for high– dimensional ordinary differential equations and global Hopf bifurcation theory for functional differential equations, sufficient conditions for existence of periodic solutions when the time delay is sufficiently large are established. Keywords—Delay, global Hopf bifurcation, n...

driven by white noise Ẇ . Under minimal assumptions on regularity of the coefficients and random forces, the existence of a global weak (martingale) solution of the stochastic Navier–Stokes equation is proved. In the two-dimensional case, the existence and pathwise uniqueness of a global strong solution is shown. A Wiener chaosbased criterion for the existence and uniqueness of a strong global ...

We derive a new criterion for checking the global stability of periodic oscillation of bidirectional associative memory BAM neural networks with periodic coefficients and distributed delay, and find that the criterion relies on the Lipschitz constants of the signal transmission functions, weights of the neural network, and delay kernels. The proposed model transforms the original interacting ne...

in this paper, global robust stability of stochastic impulsive recurrent neural networks with time-varyingdelays which are represented by the takagi-sugeno (t-s) fuzzy models is considered. a novel linear matrix inequality (lmi)-based stability criterion is obtained by using lyapunov functional theory to guarantee the asymptotic stability of uncertain fuzzy stochastic impulsive recurrent neural...

Finding sufficient criteria for synchronization of master-slave chaotic systems by replacing variables control has been an open problem in the field of chaos control. This paper presents some recent works on the subject, with emphasis on chaos synchronization of both identical and parametrically mismatched Lur’e systems by replacing variables control. The synchronization schemes are formally co...

In this paper, the global asymptotic stability of delayed cellular neural networks (DCNNs) is investigated. A novel criterion for the stability using the Lyapunov stability theory and linear matrix inequality (LMI) framework is presented. The criterion expressed by LMIs is delay-dependent. The result is less conservative than those established in the earlier references. A numerical example is g...

In Surrogate-based optimization, each optimization cycle consists of fitting a surrogate to a number of simulations at a set of design points, and performing optimization based on the surrogate to obtain one or more new design points. Algorithms like Efficient Global Optimization (EGO) [1] use uncertainty estimates available with the Kriging surrogate to guide the selection of new point(s). The...

In A multidatahase system integrates a set of autonomous database systems to provide global database functions. This paper investigates a correctness criterion for the execution of local and global transactions in the error-prone multidatahase environment. The compensation technique is used to preserve the semantic atomicity of global transactions. We examine in detail the effects created by th...

One of the major problems in Monte Carlo based methods for global illumination is noise. This paper investigates adaptive sampling as a method to alleviate the problem. We introduce a new reÞnement criterion, which takes human perception and limitations of display devices into account by incorporating the tone-operator. Our results indicate that this can lead to a signiÞcant reduction in the ov...

We focus on the nonlinear inverse problem of di raction tomography. We set the problem as one of estimation within the Bayesian framework and de ne the solution as the maximum a posteriori (MAP) estimate which corresponds to the global minimum of a multimodal criterion. The objective of this paper is to present a new deterministic single site update algorithm specially designed to compute this ...