Quantum interferometry and quantum information processing have been proposed for Bose-Einstein condensates (BECs), but BECs are described in complicated ways such as using field theory or a nonlinear differential equation. Nonlinear mechanics does not mesh well with the superposition principle at heart of could be compatible. Thus, we develop rigorous foundation gates, obtained by solving equat...

In this paper, we consider a nonlinear elliptic system which is an extension of the single equation derived by investigating the stationary states of the nonlinear Schrödinger equation. We establish the existence and uniqueness of solutions to the Dirichlet problem on the ball. In addition, the nonexistence of the ground state solutions under certain conditions on the nonlinearities and the com...

The stiffness and damping of pile foundations are proposed, which vary with the ratio of shear modulus Gi / Go to indicate the nonlinear properties of soil. The range of Gi / Go is defined with different vibration intensities for applications, and a computer program DYNAN is available based on the boundary zone model with non-reflective interface. Two engineering cases are studied to illustrate...

Three-phase shunt active power filter (APF) is often used to compensate the harmonic and reactive current derived from non-linear load. But many non-ideal factors, such as the limited bandwidth of output current loop and the time lag of signal sensing circuit and reference current generation etc, will deteriorate the compensation effect. Proportion-Integral (PI) controller cannot be used simply...

Short term memory (STM) is the ability of the brain to maintain a perceived stimulus even after the stimulus has disappeared. STM is assumed to be implemented in the sustained activity observed in the prefrontal cortex (PFC) during diverse tasks, like visual memory, object labelling, identity or other cognitive tasks. We here suggest that this activity can be explained as the result of changes ...

The ability to accurately and consistently predict deformation of deep foundation pit in civil engineering is required by the designer and manager in planning and conducting construction activities. Since deformation of deep foundation pit that belongs to a multi-variable nonlinear system evolution with time-varying is vague and uncertain, it is prone to a certain degree of prediction errors. T...

This paper focuses on a four-wire shunt active power filter (APF) control scheme proposed to improve the performance of the APF. This filter is used to compensate harmonic distortion in three-phase four-wire systems. Several harmonic suppression techniques have been widely proposed and applied to minimize harmonic effects. The proposed control scheme can compensate harmonics and reactive power ...

This study focuses on the shape optimization of concrete gravity dams considering dam– water–foundation interaction and nonlinear effects subject to earthquake. The concrete gravity dam is considered as a two–dimensional structure involving the geometry and material nonlinearity effects. For the description of the nonlinear behavior of concrete material under earthquake loads, the Drucker–Prage...

This paper studies the stability of nonlinear autoregressive models with conditionally heteroskedastic errors. We consider a nonlinear autoregression of order p (AR(p)) with the conditional variance specified as a nonlinear first order generalized autoregressive conditional heteroskedasticity (GARCH(1,1)) model. Conditions under which the model is stable in the sense that its Markov chain repre...

Due to the wide spread of power electronics equipment in modern electrical systems, the increase of the harmonics disturbance in the ac mains currents has became a major concern due to the adverse effects on all equipment. This paper presents the analysis and simulation using Matlab Simulink of a three-phase four wire neutral clamped active power filter (APF) compensating the harmonics and reac...