Oscillation in a single control loop can propagate to many units and can cause several control loops to oscillate. In this work, an approach that uses detailed oscillation characterization in combination with signed digraphs is proposed for isolating the source loop that causes plant-wide oscillation. The success of this approach is built on a new oscillation characterization technique that ide...

In this study, we investigate the circuit model that twenty hard oscillators with two LC resonators are coupled by inductors. We observe two kinds of waves by the change of initial states. First waves are changing phase states between two adjacent oscillators from in-phase to anti-phase or from antiphase to in-phase and continuously exist. We call this wave as “phase inversion waves”. Second wa...

Using the Einstein-Cartan-Dirac theory, we study the effect of torsion on neutrino oscillation. We see that torsion cannot induce neutrino oscillation, but affects it whenever oscillation exists for other reasons. We show that the torsion effect on neutrino oscillation is as important as the neutrino mass effect, whenever the ratio of neutrino number density to neutrino energy is ∼ 10 cm−3 /eV,...

This paper is concerned with the oscillation of certain third-order nonlinear delay differential equations with damping. We give new characterizations of oscillation of the third-order equation in terms of oscillation of a related, well-studied, second-order linear differential equation without damping. We also establish new oscillation results for the third-order equation by using the integral...

In this study, we report the effect of the excitation of non-exciton components caused by broadband pulses on quantum beat oscillation. Using a spectrally controlled pump pulse, a long-lived oscillation is clearly observed, and the pump-power dependence shows the suppression of the dephasing rate of the oscillation. Our results from incoherent carrier generation using a continuous wave laser de...

We provide a comprehensive treatment of oscillation theory for Jacobi operators with separated boundary conditions. Our main results are as follows: If u solves the Jacobi equation (Hu)(n) = a(n)u(n + 1) + a(n − 1)u(n − 1) − b(n)u(n) = λu(n), λ ∈ R (in the weak sense) on an arbitrary interval and satisfies the boundary condition on the left or right, then the dimension of the spectral projectio...

We consider the two four-neutrino schemes that are compatible with all neutrino oscillation data. We present the range of the corresponding mixing parameters allowed by the results of neutrino oscillation experiments. We discuss the implications for long-baseline experiments and we suggest the possibility to reveal the presence of CP-violating phases through a comparison of the oscillation prob...

If the beam is injected into the ring with an offset a, it undergoes betatron oscillation. After the oscillation decoheres, the beam transverse emittance increases by ∆ε . To avoid this emittance increase one typically uses a feedback (or damper) that takes out the oscillation before it damps down. We show that using echo one can recover a fraction of ∆ε long after the beam oscillation decoheres.

We consider the two four-neutrino schemes that are compatible with all neutrino oscillation data. We present the range of the corresponding mixing parameters allowed by the results of neutrino oscillation experiments. We discuss the implications for long-baseline experiments and we suggest the possibility to reveal the presence of CP-violating phases through a comparison of the oscillation prob...