Role of unstable periodic orbits in phase and lag synchronization between coupled chaotic oscillators

An increase of the coupling strength in the system of two coupled R?ssler oscillators leads from a nonsynchronized state through phase synchronization to the regime of lag synchronization. The role of unstable periodic orbits in these transitions is investigated. Changes in the structure of attracting sets are discussed. We demonstrate that the onset of phase synchronization is related to phase-lockings on the surfaces of unstable tori, whereas transition from phase to lag synchronization is preceded by a decrease in the number of unstable periodic orbits.     

Action of butyllithium on butadiene and isoprene sulfolenes

Conclusions The deprotonation of butadiene and isoprene sulfolenes with butyllithium gives the salts of the corresponding 1Z,3-butadiene-1-sulfinic acids.Deceased.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 3, pp. 641–643, March, 1979.     

Convective Cahn-Hilliard models: from coarsening to roughening

In this paper we demonstrate that convective Cahn-Hilliard models, describing phase separation of driven systems (e.g., faceting of growing thermodynamically unstable crystal surfaces), exhibit, with the increase of the driving force, a transition from the usual coarsening regime to a chaotic behavior without coarsening via a pattern-forming state characterized by the formation of various stationary and traveling periodic structures as well as structures with localized oscillations. Relation of this phenomenon to a kinetic roughening of thermodynamically unstable surfaces is discussed.     

Cold Bose stars

By solving the Einstein equations coupled to a noninteracting quantum Bose field we determine the mass, density, and radius of equilibrium states of cold Bose matter localized under its own gravity. In particular we find that the maximum mass of a cold Bose star is 0.633/Gm.     

Reductive transformation of isoprenoid cyclosulfonates into linear homoallylic alcohols and amines

Conclusions Isoprene, myrcene, and ocimene sultones were converted into the corresponding linear homoallylic alcohols and amines via the stage of desulfonylation of the in situ generated allylsulfinic acids. A new synthesis of myrcenol and isogeraniol has been carried out.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 8, pp. 1820–1823, August, 1985.     

On realizing symmetric 3-polytopes

We prove the analogue of Eberhard’s Theorem for symmetric convex 3-polytopes with a 4-valent graph, and disprove a conjecture of the late T. Motzkin about realizing symmetric convex 3-polytopes so that all of their geodesics are in planes. This research was supported by the National Research Council of Canada Grant A-3999.     

Half-factorial-domains

LetR be a commutative domain with 1. We termR an HFD (Half-Factorial-Domain) provided the equality Π _i=1 ⁿ χ_i=Π{_f=1/^m}y _f impliesm=n, whenever thex’s and they’s are non-zero, non-unit and irreducible elements ofR. The purpose of this note is to study HFD’s, in particular, Krull domains that are HFD’s, and to provide examples of HFD’s, that contradict a conjecture of Narkiewicz.     

An approach to remove alpha amylase for proteomic analysis of low abundance biomarkers in human saliva

Proteomic characterization of human whole saliva for the identification of disease-specific biomarkers is guaranteed to be an easy-to-use and powerful diagnostic tool for defining the onset, progression and prognosis of human systemic diseases and, in particular, oral diseases. The high abundance of proteins, mainly alpha amylase, hampers the detection of low abundant proteins appearing in the disease state and therefore should be removed. In the present study a 2-DE was used to analyze human whole saliva following the removal of alpha amylase by affinity adsorption to potato starch. After alpha amylase removal whole saliva was analyzed by SDS-PAGE showing at least sixfold removal efficiency and by an alpha amylase activity assay showing 97% reduced activity. MS identification of the captured alpha amylase after elution demonstrated specific removal; 2-DE analysis showed the selective removal of alpha amylase and consequently increased gel resolution. MS identification of protein spots in the 60 kDa area revealed 15 proteins, which were masked before alpha amylase removal. In conclusion, treatment of human whole saliva with an alpha amylase removal device increases gel resolution and enables a higher protein sample for analysis.