We establish a long time soliton asymptotics for a nonlinear system of Maxwell equation coupled to a charged particle. The coupled system has a six dimensional manifold of soliton solutions. We show that in the large time approximation, any solution, with an initial state close to the solitary manifold, is a sum of a soliton and a dispersive wave which is a solution of the free Maxwell equation...

The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. This note is about the energy of regular graphs. It is shown that graphs that are close to regular can be made regular with a negligible change of the energy. Also a k-regular graph can be extended to a k-regular graph of a slightly larger order with almost the same energy. As an application, it ...

In previous studies, the abundance and diversity of methanogenic archaea in the dental microbiota have been analysed by the detection of specific DNA sequences by PCR-based investigations and metagenomic studies. Few data issued regarding methanogens actually living in dental plaque. We collected dental plaque specimens in 15 control individuals and 65 periodontitis patients. Dental plaque spec...

We prove existence of strongly continuous evolution systems in Lfor Schrödinger-type equations with non-Lipschitz coefficients in the principal part. The underlying operator structure is motivated from models of paraxial approximations of wave propagation in geophysics. Thus, the evolution direction is a spatial coordinate (depth) with additional pseudodifferential terms in time and low regular...

Seventy five patients with the diagnosis of chronic Chagas' disease were studied by employing EPs techniques. Two of them had delayed arrival of the signal to the Erb's point and one to the spinal cord when looking at SEPs. Two patients had increment of the time interval between waves Ist and IIIrd, when studying PEATs. These findings were interpreted as due to peripheral nerve fibers damage, a...

Consider networks on n vertices at average density 1 per unit area. We seek a network that minimizes total length subject to some constraint on journey times, averaged over sourcedestination pairs. Suppose journey times depend on both route-length and number of hops. Then for the constraint corresponding to an average of 3 hops, the length of the optimal network scales as n13/10. Alternatively,...

The sensitivity of the different parameters (absolute latency, interwave latency, latency asymmetry, amplitude) of both cervical and cerebral responses evoked by stimulation of the median nerve at the wrist was assessed in patients with multiple sclerosis by discriminant analysis. The peak latency of N13 or N20 SEP components or both was found to be more sensitive than their amplitude, provided...

PURPOSE Evoked potentials were recorded in patients with DCD to evaluate the integrity the afferent pathways and to rule out the presence of any neurological lesions. MATERIAL AND METHODS Two boys: 5 and 16 years old with recognized DCD were examined. Battery of tests: short-latency somatosensory evoked potentials (SEP), pattern-reversal visual evoked potentials (VEP), cognitive event-related...

In pre-industrial Europe, growth was driven by the expansion of trade, and the expansion of trade was driven by falling trading costs. This paper discusses the mechanisms linking these processes–profit-seeking behavior by merchants, changes in the organization of production, technological progress, and urbanization. It then reviews the fluctuations in European economic growth between 1000 and 1...

We prove existence of strongly continuous evolution systems in L for Schrödinger-type equations with non-Lipschitz coefficients in the principal part. The underlying operator structure is motivated from models of paraxial approximations of wave propagation in geophysics. Thus, the evolution direction is a spatial coordinate (depth) with additional pseudodifferential terms in time and low regula...