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Synchronization conditions for one mo del of an optical laser Anatoly M. Samoilenko Institute of Mathematics NAS, Kiev, Ukraine e-mail: sam@imath.kiev.ua By using methods of perturbation theory, we investigate the global behavior of tra jectories on a toroidal attractor and in its neighborhood for a system of differential equations that appears in the study of the synchronization of oscillations of the mathematical model of an optical laser.

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COMPUTER SYNTHESIS OF BENZENE DERIVATIVES FROM CYCLIC AND ACYCLIC PRECURSORS A.V. Efimov and E.V. Babaev* Chemical Dept., Moscow State University, Moscow 119899, Russia Abstract General methodology for computer assisted synthesis of benzene derivatives from another benzenes (by polar substitution reactions) or from acyclic precursors (by polar cyclocondensations) is briefly discussed. ... This opens possibility to include reactions 754 Computer Synthesis of Benzene Derivatives Sheme 1. ...

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PHYSCON 2011, Leon, Spain, September, 5­September, 8 2011 CASES OF COMPLETE INTEGRABILITY IN TRANSCENDENTAL FUNCTIONS IN DYNAMICS AND CERTAIN INVARIANT INDICES Maxim V. Shamolin Institute of Mechanics Moscow Lomonosov State University Russian Federation shamolin@imec.msu.ru, shamolin@rambler.ru Abstract The results of this work appeared in the process of studying a certain problem on the rigid body motion in a ... On motion of heavy bodies in an incompressible fluid. ...

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Ultrafast Faraday Rotation In Magnetophotonic Microcavities Alexandr I. Musorin1, Margarita I. Sharipova1, Artem V. Chetvertukhin1, Tatyana V. Dolgova1, M. Inoue2, Andrey A. ... Hibarigaoka- - Tenpakucho, Toyohashi, Aichi Prefecture 441-8122, Japan musorin@nanolab.phys.msu.ru Abstract: Femtosecond dynamics of Faraday effect in magnetophotonic microcavities is experimentally demonstrated by using polarization-sensitive correlation scheme ...

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Партнерская программ CRDF . 2003 Cooperative Grants Program . The U.S. Civilian Research and Development Foundation (CRDF) is pleased to announce a new competition for its Cooperative Grants Program. This program allows joint teams of U.S. and former Soviet Union (FSU) scientists and engineers to apply for one- to two-year support for cooperation in any area of civilian research and development in the natural sciences, mathematics, engineering, and biomedical and behavioral sciences. ...

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Figure 3. Hysteretic behavior of resistivity near T c for typical sample of Pb 1-x Ge x Te 1-y S y with x=0.009, y=0.068 /13/.

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Geometrical core (core) is a maximal set of alignment positions such that C atoms in these positions are disposed similarly in ALL input protein chains. ... Minimal core size (#aa's) . ... Alternative core new atoms (%) . ... Geometrical core is a maximal set of alignment positions such that C atoms in these positions are disposed similarly in ALL input protein chain. ... Each input sequences is aligned to the corresponding sequence obtained from the ATOM section of the protein chain in the PDB file. ...

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... And we get the formal equality of the functional integrals 11 2 exp - ((t)) dt d = 2 0 t=1 11 4 11 2 2 (t)dt - (t)d d . ... 3 0 Note that functions (t) and (t) belong to different functional spaces. ... The classical action and the classical limit of the corresponding quantum theory turn out to be different. ... 6 Now the substitution (t) = (t)+ t (11) d a -T 2( ) - 2 results in the equality of the functional integrals F () exp{-A+()}d = X+ (12) C [-T ,+T ] 1 F (()) exp - 2 +T -T ((t))2dt d . ...

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