In this paper we give a new and simplified proof of the theorem on selection standing waves for small energy solutions nonlinear Schrödinger equations (NLS) that gave in [6]. We consider NLS with operator several eigenvalues, corresponding families waves, show any solution converges to orbit time periodic plus scattering term. The novel idea is “refined profile”, quasi–periodic function which a...

The control of kinetic profiles is among the most important problems in fusion reactor research. It is strongly related to a great number of other problems in fusion energy generation such as burn control, transport reduction, confinement time improvement, MHD instability avoidance and highor high-confinement operating modes access. We seek a controller which is able to make the kinetic profile...

Dysplastic nodules are premalignant neoplastic nodules found in explanted livers with cirrhosis. Genetic signatures of premalignant dysplastic nodules (DNs) with concurrent hepatocellular carcinoma (HCC) may provide an insight in the molecular evolution of hepatocellular carcinogenesis. We analyzed four patients with multifocal nodular lesions and cirrhotic background by whole-exome sequencing ...

Linear pharmacokinetic profiles of propafenone in female Wistar rats were found after oral administration of up to 20 mg/kg. These profiles differed from nonlinear pharmacokinetics in a dose-dependent manner with increasing plasma concentrations in humans (Hollmann M, Brode E, Hotz D, Kaumeier S, and Kehrhahn OH (1983) Arzneim-Forsch 33:763-770). We investigated the species differences in pharm...

The dynamic analysis of a continuous-time multi-agent swarm model with nonlinear profiles is investigated in this paper. It is shown that, under mild conditions, all agents in a swarm can reach cohesion within a finite time, where the upper bounds of the cohesion are derived in terms of the parameters of the swarm model. The results are then generalized by considering stochastic noise and switc...