Control Bifurcations Arthur J. Krener Department of Applied Mathematics Naval Postgraduate School Monterey, CA 93943 USA e-mail: ajkrener@nps.edu A parametrized nonlinear differential equation can have multiple equilibria as the parameter is varied. A local bifurcation of a parametrized differential equation occurs at an equilibrium where there is a change in the topological character of the nearby solution curves. ... From this e normal form, the type of the bifurcation can be determined. ...

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... The technique had been developed for calculating destruction of melting vitreous bodies in hypersonic gas flows taking into account the internal radiative transfer. ... The problem of flow in the chemically non-equilibrium boundary layer at a stagnation point of blunt body had been solved by the asymptotic method and formulas for the heat and diffusion fluxes to a surface of any catalycity had been obtained. ...

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... Absorption probability and laser induced quantum coordinate displacement spectra are calculated. ... Figures 3--6 show typical spectra of absorption probability in comparison with the same ones for the electronically equal two-level atom and the spectra of x-coordinate displacement for the Gaussian pulse with r = 0.5 p5; electronic transition frequency w12 = 1015 s1; mass parameter m = 1.4 x 1O_23 g; vibronic frequency for the ground state w1 = 1013 1 and for the excited ... 2 0, Fig. ...

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• http://qilab.phys.msu.ru/papers/SPIE-1921-391-401(1993).pdf
• http://qilab.phys.msu.ru/papers/JRS-2002-en.pdf
• http://qilab.phys.msu.ru/papers/SPIE-2547-312-319(1995).pdf

... The optimal control, which led oscillatory system to a certain energy level from any initial conditions at minimum time, is found. ... A set of points where the trajectory becomes an arc of a circle with the other center is called the switching line. ... For drawing switching line near the origin (see for example Figure 3) we note from the system (1) that time is proportional to the sum of the angles 214 this sums for optimal and quasi-optimal processes. ... The control function (14) is not optimal....

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135. Клуб выпускников МГУ: Конференция "Вакансии"

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137. http://curl.sai.msu.ru/mass/download/doc/rcx_advices.pdf

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