This article presents and analyzes an approximated exponential integrator for the (inhomogeneous) stochastic Manakov system. system of SPDE occurs in study pulse propagation randomly birefringent optical fibers. For a globally Lipschitz-continuous nonlinearity, we prove that strong order time is $ 1/2 $. then used to has convergence probability almost sure 1/2^{-} $, case cubic nonlinear coupli...

In the monkey, fixed-vector saccades evoked by superior colliculus (SC) stimulation when the animal fixates can be dramatically modified if the stimulation is applied during or immediately after an initial natural saccade. The vector is then deviated in the direction opposite to the displacement just accomplished as if it were compensating for part of the preceding trajectory. Recently, it was ...

The dynamic fuzzy logic system (DFLS) consists of static fuzzy logic system added with a dynamic element—the integrator—with a feedback constant α. It was shown to possess the important universal approximation capability. Further, Lee and Vukovich developed DFLS based stable indirect adaptive control scheme via Lyapunov synthesis approach for a class of non-linear systems of the form x = f(X) +...

We show how to increase the order of one-dimensional discrete gradient numerical integrator without losing its advantages, such as exceptional stability, exact conservation of the energy integral and exact preservation of the trajectories in the phase space. The accuracy of our integrators is higher by several orders of magnitude as compared with the standard discrete gradient scheme (modified ...

This paper deals with a design method of a discrete modified Internal Model Control (IMC) for a plant with an integrator and dead time. If there is a load disturbance in the input or output side of the plant, the proposed control system can eliminate the steady-state error caused by it. The disturbance compensator in this method is simple and its order is low regardless of that of a plant. The ...

After reviewing several physiological findings on oscillations in the electroencephalogram (EEG) and their possible explanations by dynamical modeling, we present neural networks consisting of leaky integrator units as an universal paradigm for neural and cognitive modeling. In contrast to standard recurrent neural networks, leaky integrator units are described by ordinary differential equation...

This paper represents a method to improve the SNR and linearity of an integrator by feedback compensation technique. The discussed design reduces signal swing while keeping advantages of both feed-forward as well as feedback topology without changing the signal transfer function. SNR and linearity are related to the output of an integrator. Reduced SNR and non-linearity resulted because of the ...

The principle object of this paper is to offer a modified design of Rogowski coil based on its frequency response. The improvement of the integrator circuit to nullify the phase difference between the waveforms of the measured-current and the corresponding terminal voltage is a further object of this investigation. This paper addresses an accurate, yet more efficient measuring and protecting de...