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1. Anton O. Belyakov
... My field of specialization is Stability Theory, Nonlinear Dynamics, Asymptotic Methods, Mechanics of Solids, System Identification, Optimal Control, Economic Growth. ... A.O. Belyakov and A.P. Seyranian (2012). ... A.O. Belyakov and A.P. Seyranian, . ... A.P. Seyranian and A.O. Belyakov, Swing dynamics. ... A.O. Belyakov, A.P. Seyranian, and A. Luongo, Regular and chaotic dynamics of the swing. 6th EUROMECH Nonlinear Dynamics Conference (ENOC 2008) , Saint Petersburg, Russia, June, 30 - July, 4 2008...
[ Сохраненная копия ]  Ссылки http://belyakov.imec.msu.ru/ -- 19.8 Кб -- 13.01.2015
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2. http://belyakov.imec.msu.ru/papers/ENOC2014Presentation.pdf
Another mechanical model of parametrically excited pendulum and stabilization of its inverted equilibrium position Anton O. Belyakov 1 Lomonosov Moscow State University 2 Vienna University of Technology 8th European Nonlinear Dynamics Conference (ENOC 2014) Vienna, July 7, 2014 Scheme of a parametric pendulum y O l (t ) - g m 2 r1 + m 2 Equations of motion mr 2 1 d d2 + c1 + m g l (t ) sin () = 0 dt 2 dt (1) Dimensionless equation Three dimensionless parameters and ...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/ENOC2014Presentation.pdf -- 707.6 Кб -- 26.09.2014
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3. http://belyakov.imec.msu.ru/papers/ENOC2014.pdf
... A new mechanical model of parametrically excited pendulum is proposed. ... Schemes of equivalent parametric pendula We consider the pendulum presented in Fig. 1 which is governed by the same dimensionless equation as the pendulum with vertically vibrating pivot in Fig. 2, see [1, 2] and references therein. ... Stability of inverted position As we see in Fig. 3 (for q < 0 see also Fig. 7) the inverted vertical position, = , see Figs. 5 and 6, can be not only stabilized but also destabilized by...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/ENOC2014.pdf -- 685.1 Кб -- 26.09.2014
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4. http://belyakov.imec.msu.ru/papers/ThesisBelyakov.pdf
Є Universite catholique de Louvain Є Є Departement des Sciences economiques ` Є Є These presentee en vue de lobtention du grade de Є docteur en sciences economiques Essays on economic dynamics under heterogeneity Anton O. Belyakov Composition du jury: Julio Davila (promoteur) Raouf Boucekkine Carmen Camacho Vladimir Veliov Mathieu Parenti Acknowledgements First of all I would like to thank my supervisors Raouf Boucekkine and Julio Davila. I'm grateful to other members of my doctoral jury: Mathieu Parenti,
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/ThesisBelyakov.pdf -- 984.7 Кб -- 10.09.2014
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5. http://belyakov.imec.msu.ru/papers/HulaHoopSlides2011.pdf
... Formulation of the problem ґ angle about the mass center C IC = mR 2 ґ central moment of inertia m and R ґ mass and radius of the hula-hoop k ґ coefficient of viscous friction r ґ radius of the waist FT ґ friction force N ґ reaction force ґ angle between x and CO x = a sin t , IC m m ? +k (R - (R - y = b cos t = -FT R r ) = m (x sin + y cos ) + FT ? ? ? r ) 2 = m (x cos - y sin ) + N ? ? (R - r ) = R ґ non-slippage where constants 0 mod 2 are defined from + ? cos 0 = 0. ...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/HulaHoopSlides2011.pdf -- 450.8 Кб -- 30.07.2011
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6. http://belyakov.imec.msu.ru/papers/Belyakov_Seyranian_6pages2011.pdf
... For the case of the circular trajectory, two families of exact solutions are obtained. ... These exact solutions allow us to obtain approximate solutions for the case of an elliptic trajectory of the waist. ... We also check the condition of keeping contact with the waist during twirling. ... Main relations We assume that the center O of a gymnast's waist moves in time according to the elliptic law x = a sin t, y = b cos t with the amplitudes a, b and the excitation frequency > 0, Fig. ...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/Belyakov_Seyranian_6pages2011.pdf -- 2709.9 Кб -- 30.07.2011
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7. http://belyakov.imec.msu.ru/papers/0910.3802.pdf
ON NONLINEAR DYNAMICS OF THE PENDULUM WITH PERIODICALLY VARYING LENGTH Anton BELYAKOV, Alexander SEYRANIAN a_belyakov@inbox.ru, seyran@imec.msu.ru Institute of Mechanics, Moscow State Lomonosov University, Michurinsky pr. ... Keywords: Pendulum of variable length, Stability of regular rotation, Tumbling chaos, Averaging method, Stability of limit cycle, Quasi-linear oscillatory system, Basin of attraction. ... Fig. ... Thus, the first instability domain takes the form (11) Fig. ... first three terms. ...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/0910.3802.pdf -- 520.1 Кб -- 27.10.2009
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8. http://belyakov.imec.msu.ru/papers/IMEC2005.pdf
... x0 = U -1 x0 v0 = U -1v0 , (2) (4) ( x0 ) j = cos jj , ( v0 ) j = - jj sin jj , j = 1,..., n. (3) (1): K = (U -1 T ) M 2U -1 , M = (U -1 T ) M U -1 . ... a) p = Mv0 , , , , : M jj = - pj ( jj sin jj ) , p = (U T ) -1 p. b) , f = Kx0 , , K jj = f cos jj , f = (U T ) -1 f. c) - 2 2 2e j = K jj ( x0 ) j + M jj ( v0 ) j , (4) K jj = 2e j . ... 8) ( E 2 + 2 ( + G ) + 2 ) v = 0 (6) (1): 2 + 2 1 + 12 2 Gkj Gjj = 0 ; V ґ - , ґ k . ... 0 + 2 ) e j = 0 , : 70 Ykj = -2Gkj ( j - k ) ( j - k j ) + O ( ) k j . ...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/IMEC2005.pdf -- 243.2 Кб -- 17.07.2009
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9. http://belyakov.imec.msu.ru/papers/Belyakov_rus.pdf
NEW ECONOMIC SCHOOL .. BSP/2007/094 R 2007 " " .. ... On The Dynamics of People's Unions / Working Paper # BSP/2007/094 R. - Moscow, New Economic School, 2007. - 19 p. (Rus.) ... Key words: public economics, allocation theory, size of nations ISBN © .. ... x[0,1] - (FOC) FOC: (W1 (x) + W2 (1 - x)) = 0, x (1) - (SOC) SOC: 2 (W1 (x) + W2 (1 - x)) 0. x2 (2) , (1) (2), .. ... Grossman & Mendoza, 2001, 2004) , , , : , . ... On the Number and Size of Nations", Quarterly Journal of Economics Vol. ...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/Belyakov_rus.pdf -- 505.2 Кб -- 08.09.2008
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10. http://belyakov.imec.msu.ru/papers/Diser.pdf
МОСКОВСКИЙ ГОСУДАРСТВЕННЫЙ УНИВЕРСИТЕТ им. М.В. ЛОМОНОСОВА Механикоматематический факультет На правах рукописи Беляков Антон Олегович Определение моментов инерции крупногабаритных тел по колебаниям в упругом подвесе 01.02.01 теоретическая механика Диссертация на соискание ученой степени кандидата физикоматематических наук Научный руководитель доктор физикоматематических наук А.П. Сейранян Москва 2005 г. Содержание Введение Глава I. Описание метода измерений 1 Существующие методы измерения моментов инерции 2
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/Diser.pdf -- 1600.5 Кб -- 08.09.2008
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11. http://belyakov.imec.msu.ru/papers/ENOC2008.pdf
... Asymptotic boundaries of stability domains are derived near resonance frequencies. ... 2 Main relations Equation for motion of the swing is derived with the use of angular momentum alteration theorem and tak- ing into account linear damping forces (ml2 ) + l2 + mg l sin() = 0, (1) where m is the mass, l is the length, is the angle of the pendulum deviation from the vertical position, g is the acceleration due to gravity. ... 4 Regular rotations In this section we study regular rotations of the swing...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/ENOC2008.pdf -- 1952.9 Кб -- 08.09.2008
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12. http://belyakov.imec.msu.ru/papers/PhysCon2005.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....
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/PhysCon2005.pdf -- 111.4 Кб -- 08.09.2008
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13. http://belyakov.imec.msu.ru/papers/SPbGTU2003.pdf
12'2003 : 2'2003 . ... 2.1) A -- , C -- , . 1.1) n x= i=1 hi cos(i t), (2.2) i -- , hi -- . ... M 0 0 A = 0 Izz Izx , 0 Ixz Ixx rz , rx -- OZ OX , Lz , Lx -- OZ OX (. ... M -- ; Ixx , Izx , Izz -- : 1 - rx L-1 rx L-1 - rz L-1 x x z - L -1 L= L -1 x z 0 L -1 z . ... L x z 1000 2 1.74 13.2 / 16.84 / 28.3 / -4.01 Ї 10 -1.44 Ї 10 -2.04 Ї 10 -6.79 Ї 10 -1.28 Ї 10 -6.61 Ї 10 -5.40 Ї 10 2.68 Ї 10 2.08 Ї 10 -4 , % 0.01 0.1 0.1 0.01 0.01 0.01 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1 3. ... 2002. ...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/SPbGTU2003.pdf -- 183.1 Кб -- 08.09.2008
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14. http://belyakov.imec.msu.ru/papers/Belyakov_eng.pdf
... A new mechanism governing the dynamics of territory changing between groups of people such as countries is proposed based on trading with approval of both sides under particular voting rule (veto rule, majority rule, etc.) ... A state equation is obtained based on particular personal utility function. ... The countries which have approximately the same marginal 4 utility of the territory at the border would fight rather than trade as a result of equilibrium in the corresponding game. ...
[ Текст ]  Ссылки http://belyakov.imec.msu.ru/papers/Belyakov_eng.pdf -- 477.0 Кб -- 08.09.2008
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