In this paper, we derive the impulse response of the distributed order integrator/ differentiator and its asymptotic property by using the complex path integral. Based on the derived analytical impulse response, we present a technique to perform the discretization of the above distributed order integrator/differentiator. The derived asymptotic property can be applied to verify the feasibility o...

This work introduces the high-order Boris-SDC method for integrating the equations of motion for electrically charged particles in an electric and magnetic fields. Boris-SDC relies on a combination of the Boris-integrator with spectral deferred corrections (SDC). SDC can be considered as preconditioned Picard iteration to compute the stages of a collocation method. In this interpretation, inver...

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...

We examine a new 2nd order integrator recently found by Omelyan et al. The integration error of the new integrator measured in the root mean square of the energy difference, 〈∆H2〉1/2, is about 10 times smaller than that of the standard 2nd order leapfrog (2LF) integrator. As a result, the step size of the new integrator can be made about three times larger. Taking into account a factor 2 increa...

The Brockett integrator is a 3-dimensional system with a non-holonomic constraint and the non-holonomic constraint makes the stabilization and control of the system challenging. The 3-dimensional non-holonomic integrator can be generalized in more than one way and this work looks into the time-optimal control of the generalized Brockett integrator which evolves on R × Skewm(R). The problem has ...

Dual quadrature signal generator (QSG) along with a positive sequence calculator (PSC) eliminates the negative components from unbalanced grid voltages. The QSGs also offer attenuation to harmonics and dc-offset present in sensed input Fourth-order superior harmonic complete rejection compared lower-order QSGs. Therefore, dual fourth-order QSG + PSC is an apt solution for pre-filtering phase-lo...

in this paper, we introduce the idea of generalized relative order (respectively generalized relative lower order) of entire functions of two complex variables. hence, we study some growth properties of entire functions of two complex variables on the basis of the definition of generalized relative order and generalized relative lower order of entire functions of two complex variables.

The Institute of Medicine's (IOM's) 2011 report on the health of LGBT people pointed out that there are limited health data on these populations and that we need more research. It also described what we do know about LGBT health disparities, including lower rates of cervical cancer screening among lesbians, and mental health issues related to minority stress. Patient disclosure of LGBT identity...