Pinning in the extended Lugiato–Lefever equation

We consider a variant of the Lugiato-Lefever equation (LLE), which is a nonlinear Schrödinger equation on a one-dimensional torus with forcing and damping, to which we add a first-order derivative term with a potential $\varepsilon V(x)$. The potential breaks the translation invariance of LLE. Depending on the existence of zeroes of the effective potential $V_\text{eff}$, which is a suitably weighted and integrated version of $V$, we show that stationary solutions from $\varepsilon=0$ can be continued locally into the range $\varepsilon \ne 0$. Moreover, the extremal points of the $\varepsilon$-continued solutions are located near zeros of $V_\text{eff}$ . We therefore call this phenomenon pinning of stationary solutions. If we assume additionally that the starting stationary solution at $\varepsilon=0$ is spectrally stable with the simple zero eigenvalue due to translation invariance being the only eigenvalue on the imaginary axis, we can prove asymptotic stability or instability of its $\varepsilon$-continuation depending on the sign of $V\u27_\text{eff}$ at the zero of $V_\text{eff}$ and the sign of $\varepsilon$. The variant of the LLE arises in the description of optical frequency combs in a Kerr nonlinear ring-shaped microresonator which is pumped by two different continuous monochromatic light sources of different frequencies and different powers. Our analytical findings are illustrated by numerical simulations

Приготовление суспензий нанопорошка ZnO в растворе глицина

The focus of the work was to make an attempt to prepare an aggregative-stable suspension of ZnO nanopowder with average particle size of 20-40 nm, which was prepared by plasma method in aminoacetic acid. The infrared spectrums of the solution before and after exposure to nanopowder in 2 M glycine solution was used to check the effectiveness of glycine sorption on the particle surface. It was experimentally revealed that the centrifugate, separated from the nanoparticles after incubation in 2M nanopowder surfactant solution with a particle concentration of 2, 10 and 20 wt.% during a week, had a peak height decrease from 11.1 (initial 2M glycine solution) to 9.45 ... 5.3 ... 4.5 units on the IR spectrum at a wavelength of 1250 cm{-1}, and the percentage of adsorbed glycine 15, 52 and 59.4 %, respectively. Selected surfactant has been efficiently adsorbed on the surface of ZnO particles and can be used to stabilize the nanoparticles in aqueous aggregative-stable suspensions

Sefalet

Emine Semiye'nin Mütalaa'da tefrika edilen Sefalet adlı romanıArşivdeki eksikler nedeniyle tefrika yarım kalmıştır. Ancak tefrikanın tamamlandığı bilinmektedir

Association between carotid area calcifications and periodontal risk: a cross sectional study of panoramic radiographic findings

Abstract Background The aim was to investigate the extent to which it is possible to diagnose suspected carotid calcification from dental panoramic radiography (PR) and to establish an association to periodontal risk. Methods 824 PRs from one dental practice were investigated. Parameters considered were gender, age, bone loss - age index, tooth loss, periodontal risk and suspected carotid calcification (left, right, both sides). Periodontal risk was classified: low risk (under 4 missing teeth, bone loss - age index under 0.5), moderate risk (5 to 8 missing teeth and/or bone loss - age index 0.5 to 1.0) and high risk (more than 9 missing teeth and or bone loss - age index greater than 1.0). Results Of 824 patients, 349 were male (42.4%) and 475 female (57.6%); the mean age was 48.32 ± 16.52 years. In 9.0% (n = 74) of PRs, suspected carotid calcification was diagnosed (right: 5.5%, left: 2.3%, both sides: 1.2%). The mean tooth loss was 4.16 ± 5.39 teeth. In the case of 282 patients (34.2%), there was a low, in 335 patients (40.7%) a moderate, and in 207 patients (25.1%) a high periodontal risk. There was a significant correlation found between number of cases of suspected carotid calcification and periodontal risk, tooth loss and age (p = 0.0001). However, only age showed a significant association (OR: 4.9; CI: 2.4-9.8; p Conclusion PR can provides indication of carotid calcification as a secondary (chance) finding. In addition, periodontal risk may be correlated with positive findings of carotid calcification.</p

Fast Rescheduling of Multiple Workflows to Constrained Heterogeneous Resources Using Multi-Criteria Memetic Computing

algorithm

Myocardial-Perfusion-SPECT Update S1-Guideline

The S1 guideline for myocardial perfusion SPECT has been published by the Association of the Scientific Medical Societies in Germany (AWMF) and is valid until 2/2022. This paper is a short summary with comments on all chapters and subchapters wich were modified and amended