Laser-guide-star multiconjugate adaptive optics (MCAO) systems require natural guide stars (NGS) to measure tilt and tilt-anisoplanatism modes. Making optimal use of the limited number of photons coming from such, generally dim, sources is mandatory to obtain reasonable sky coverage, i.e., the probability of finding asterisms amenable to NGS wavefront (WF) sensing for a predefined WF error budg...

The sub-title of this presentation could be “The fractional order integrator approach”. Although fractional order differentiation is commonly considered as the basis of fractional calculus, its effective basis is in fact fractional order integration, mainly because definitions, calculation and properties of fractional derivatives and Fractional Differential Systems (FDS) rely deeply on fraction...

In this article we show in detail the derivation of an integration scheme for the dissipative particle dynamic model (DPD) using the stochastic Trotter formula [1]. We explain some subtleties due to the stochastic character of the equations and exploit analyticity in some interesting parts of the dynamics. The DPD-Trotter integrator demonstrates the inexistence of spurious spatial correlations ...

We identify ghost trajectories of symplectic-energy-momentum (SEM) integration and show that the ghost trajectories are not time reversible. We explain how SEM integration can be regularized, in a SEM preserving manner, so that it is time reversible. We describe an algorithm for implementing the regularized SEM integrator. Simulation results for the pendulum are given. Coordinate invariance of ...

—In this paper, we present a method to design low-power low-voltage current-mirror based integrators for continuous-time modulators. It is shown that, by proper biasing of the mirror transistors, very high modulation index can be achieved at low-voltage supply. Careful analysis of the current-mode integrator shows that there exists an optimum supply voltage for minimum power consumption. Simula...

This report summarizes an investigation of the use of the symplectic SHAKE integrator to simulate a generalization of Newton’s Cradle. A simple inverse-power repulsive potential is used to model the interactions of the pendulums. The main focus of the investigation is to explore the effectiveness of the SHAKE integrator and a continuous potential in the modeling of Newton’s Cradle. The solution...

The carboxy-terminal domain (CTD) of the large subunit of RNA polymerase II (Pol II) comprises multiple heptapeptide repeats of the consensus Tyr1-Ser2-Pro3-Thr4-Ser5-Pro6-Ser7. Reversible phosphorylation of Ser2, Ser5, and Ser7 during the transcription cycle mediates the sequential recruitment of transcription/RNA processing factors. Phosphorylation of Ser7 is required for recruitment of the g...

The goals of this study were to develop a simplified finite element knee model, cosimulate this model with the motion of knee flexion/extension to demonstrate the concept of cosimulation, and choose an integrator to maximize the efficiency of the cosimulation process. A simplified model of the knee was used to simulate flexion/extension in FEBio. The femur was modeled as a fixed, rigid body, th...

We introduce a symplectic dual quaternion variational integrator(DQVI) for simulating single rigid body motion in all six degrees of freedom. Dual quaternion is used to represent rigid body kinematics and one-step Lie group variational integrator is used to conserve the geometric structure, energy and momentum of the system during the simulation. The combination of these two becomes the first L...

This paper deals with the double integrator consensus problem. The objective is the design of a new consensus algorithm for continuous-time multi-agent systems. The dynamic of agents is assumed to be of double integrator type. The proposed algorithm considers that there are no sensors to measure the velocity of the agents. Thus the classical double integrator consensus algorithm leads to an osc...