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141. http://ics.org.ru/upload/iblock/0cd/RCD232.pdf
ISSN 1560-3547, Regular and Chaotic Dynamics, 2016, Vol. ... Adiabatic Invariants, Diffusion and Acceleration in Rigid Bo dy Dynamics Alexey V. Borisov* and Ivan S. Mamaev** Steklov Mathematical Institute, Russian Academy of Sciences, ul. ... REGULAR AND CHAOTIC DYNAMICS Vol. ... The conditions for the onset of adiabatic chaos which result from adiabatic invariant jumps and from conditions obtained by the method of splitting of separatrices (Section 4) REGULAR AND CHAOTIC DYNAMICS Vol. ... Sci., vol. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/0cd/RCD232.pdf -- 942.3 Кб -- 28.03.2016
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142. http://ics.org.ru/upload/iblock/268/pu_58_1220.pdf
Physics ? Uspekhi 58 (12) 1220 ? 1222 (2015) LETTERS TO THE EDITORS #2015 Uspekhi Fizicheskikh Nauk, Russian Academy of Sciences PACS numbers: 05.45. ? a, 45.40. ? f Notes on new friction models and nonholonomic mechanics A V Borisov, I S Mamaev DOI: 10.3367/UFNe.0185.201512g.1339 Abstract. ... Using recent results as examples, it is shown that the validity and potential of the nonholonomic model are not inferior to those of other dynamics and friction models. ... 226 2831 (2015) Borisov A et al. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/268/pu_58_1220.pdf -- 264.0 Кб -- 28.03.2016
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143. http://ics.org.ru/upload/iblock/efa/rm_70_1167.pdf
Russian Math . ... Nauk 70:6 203ґ212 COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY Equations of motion of non-holonomic systems A. V. Borisov and I. S. Mamaev We consider a non-holonomic mechanical system whose configuration space is some (smooth) manifold N . ... In order to explicitly write the vector field on M defined by (1), we choose in each tangent space to T Nq a new basis of vector fields (q), = 1, . ... n), then the equations of motion are represented in the pseudo-Hamiltonian form. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/efa/rm_70_1167.pdf -- 336.3 Кб -- 16.03.2016
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144. http://ics.org.ru/upload/iblock/64e/PMM0011_rus.pdf
1, 2016 80. ... M1 ( x , ( ) ЇЇ = cos (2.1) M1, F + N (. 1) Ox (): N > F (2.2) , (2.2), M1 M2 ЇЇ ЇЇ x 1 = F + R cos , y 1 = 1 + N + R sin ЇЇ ЇЇ x 2 = ґ R cos , y 2 = 1 ґ R sin x 2 = x 1 + cos , y 2 = sin (2.3) , , y1 = 0 , (2.4) (2.4), (2.3) N = ґ ( 1 + R sin ) , F = ґ R cos , Ї2 R = + sin (2.5) (2.3) , (2.2) ( ) 2 Ї2 ( sin - cos ) > ґ ( 1 + sin ) ? sin cos + (2.6) 14 .. ... 0.3 =1 0 /2 0 /2 . ... 1, 2016 15 N N : f [0, ], < ( 1 + cos ) / sin cos (2.12) , 2 (2.12) < * = 2 2 (2.13) . ... Math. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/64e/PMM0011_rus.pdf -- 155.9 Кб -- 24.02.2016
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145. http://ics.org.ru/upload/iblock/ecf/PHDK32.pdf
... MECHANICS Free and Controlled Motion of a Body with a Moving Internal Mass through a Fluid in the Presence of Circulation around the Body E. V. Vetchanina, b and A. A. Kilinc Presented by Academician V.V. Kozlov April 20, 2015 Received April 27, 2015 Abstract--The free and controlled motion of an arbitrary two dimensional body with a moving internal mass and constant circulation around the body in an ideal fluid is studied. ... Bifurcation diagram of the free system. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/ecf/PHDK32.pdf -- 301.4 Кб -- 03.02.2016
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146. http://ics.org.ru/upload/iblock/94a/borisov2011.pdf
... IN MEMORIAM HASSAN AREF (1950ґ 2011 ) Alexey V. Borisov1* , Viatcheslav V. Meleshko2** , Mark Stremler3 *** , and GertJan van Heijst4 **** Institute of Computer Science ... Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA 4 Fluid Dynamics Laboratory, Department of Physics, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands Received Novemb ... 6 2011 HASSAN AREF (1950ґ2011) 675 Fig....
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/94a/borisov2011.pdf -- 778.8 Кб -- 31.12.2015
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/f5b/borisov2011.pdf -- 778.8 Кб -- 31.12.2015
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147. http://ics.org.ru/upload/iblock/b7b/RCD190101.pdf
... In 1895 two courses of PainlevЄ lectures were published: e's "Le? cons sur l'intЄ egration des Є equations diffЄ tielles de la mЄ eren ecanique et applications" [47] and "Le? cons sur le frottement" [48]. ... Sur Sur Sur Sur Sur la reprЄ tation conforme esen les Є equations diffЄ tielles eren les Є equations diffЄ tielles eren les Є equations diffЄ tielles eren les Є equations diffЄ tielles eren 1888 des polygones. ... C.R. 122; 1319ґ1322). eren Sur les Є equations diffЄ tielles du premier ordre. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/b7b/RCD190101.pdf -- 1938.3 Кб -- 31.12.2015
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148. http://ics.org.ru/upload/iblock/25b/ND_2015_v11_n4_07.pdf
... 721ґ734. http://nd.ics.org.ru : 62.529 MSC 2010: 93B18, 93B52 . ... 721ґ734 729 660 600 500 2 400 300 1* 200 100 0 ґ100 1 200 400 600 2* 660 640 620 600 580 560 540 520 500 480 ґ200 . ... 721ґ734 731 1.5 1 0.5 0 1 1* 2 2* 3 3* 1000 800 600 2 1* 400 y 200 0 ґ200 1 2* 0 2 4 2* 6 3 8 10 10 5 0 1 0 1* 2 2 200 400 600 800 1000 1200 x 3 3* (b) 3* 4 (a) ґ400 10 ґ600 6 8 . ... 1] Chase R., Pandya A. A review of active mechanical driving principles of spherical robots // Robotics, 2012, vol. 1, no. 1, pp. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/25b/ND_2015_v11_n4_07.pdf -- 762.7 Кб -- 29.12.2015
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149. http://ics.org.ru/upload/iblock/f65/862%20(1).pdf
... In the general case of motion of a rigid body, we study the stability of partial solutions and point out limiting behaviors of the motion when the time increases infinitely. ... Motion without an initial impulse [11]. ... Fig. ... THE FALL OF A BODY WITH SCREW SYMMETRY: STEKLOV SOLUTIONS AND THEIR STABILITY For the general case P1 = 0, B = 0 of system (1.6), after the changes 12 t = , 2 we obtain the equations of motion in the form M = tm PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS Suppl. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/f65/862%20(1).pdf -- 1081.7 Кб -- 21.12.2015
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150. http://ics.org.ru/upload/iblock/d42/1511.02655v1.pdf
... Universitetskaya 1, Izhevsk, 426034 Russia Abstract This pap er investigates the p ossibility of the motion control of a ball with a p endulum mechanism with non-holonomic constraints using gaits -- the simplest motions such as acceleration and deceleration during the motion in a straight line, rotation through a given angle and their combination. ... This paper investigates the control led motion of a ball with a pendulum. ... The angular velo city of the pendulum has the form 2 = . ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/d42/1511.02655v1.pdf -- 536.3 Кб -- 21.12.2015
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151. http://ics.org.ru/upload/iblock/9f7/697-1.pdf
Р баигво игв г вгв гагвгб знзи бз К ЮК гж згкИ СК ЫК Х б к зиж и Я гвз ж згб ззй з г и ж дж з ви и гв дан лж ии в бйаи да и жи ви вГз з Р б аигв аа джг а б в ж ао азг в в в дан и и гжб г и илг джг а бз джг Й в в arXiv:nlin/0509036v1 [nlin.SI] 21 Sep 2005 г вгв гагвгб б з гл и жи ии з в зИ в б анИ и знзи бз в г ж й в Ю з агк а бК Я ви и в знзи бз а ж ни ж гвз биг из г ж и з в жК Я иб ... pi , H } , d О лж ии в в Р б аигв в гжб dqi ? ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/9f7/697-1.pdf -- 322.8 Кб -- 19.12.2015
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152. http://ics.org.ru/upload/iblock/a12/1134.pdf
... Original Russian Text ? I.A. Bizyaev, 2014, published in Doklady Akademii Nauk, 2014, Vol. ... MATHEMATICAL PHYSICS Nonintegrability and Obstructions to the Hamiltonianization of a Nonholonomic Chaplygin Top I. A. Bizyaev Presented by Academician V.V. Kozlov February 24, 2014 Received April 4, 2014 DOI: 10.1134/S1064562414060192 EQUATIONS OF MOTION AND FIRST INTEGRALS We consider the problem about the rolling of an unbalanced dynamically asymmetric ball on a plane surface [1ґ3, 15]. ... Chaotic Dyn....
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/a12/1134.pdf -- 204.5 Кб -- 15.12.2015
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153. http://ics.org.ru/upload/iblock/ec9/1531.pdf
... ОММ К ? ... D V ak ННН ОММ К ? ... ОК И И И К К НМК К ШК НК ЛЛ К К Й Н К Й зв в и вгаг нК вй а игвИ жгли в К Цй а ж Х и ж аз ОММ К жг аагн зи аз ЛЛ И Н МК МПКМПКМ и Й К КИ ?К ?К ЛЛ К Н К К П И К ОД ЕК К ОК ПК Я в жК К Ь гжн г Чзил а ж д вв ЛЛ К а ижг бК Н НК ЮгаК К ?К КИ ?К ?К К Н НК НК К К ?КИ ?К КИ К ?К ЛЛ К Н ПК К И К ДНОЕ К ОНМ ОНН К К У бдб вв ЪК в Я в ж ЪК Ш йз Ьж взгжб игв в б и ж аз ЛЛ Х и ж аз Н НК ЮгаК К ШК О МК К Ъг згв ТК К Хг ав и кгайигв г д жи а зо ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/ec9/1531.pdf -- 725.2 Кб -- 15.12.2015
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154. http://ics.org.ru/upload/iblock/6a7/ND_2013_v9_n1_08.pdf
2013. . ... 91ґ100 93 1: k +1 Vx k+1 Vy k+1 = k 1 0 0 Vx 0 1 0 Ї Vyk k 001 T 1 4 -1 4 -1 2(c + e) 2(c 1 1 1 4 4 4 1 1 -1 4 4 4 1 1 -1 + e) 2(c + e) 2(c + +2r tQ 1 2 Ї . 3) 3 e) 4 kT k k Vx +1 ,Vyk+1 , k+1 -- k + 1, Vx ,Vyk , k, -- k - sin k 0 cos Q = sin k cos k 0 0 0 1 xOy ; B = 2r 1 4 -1 4 -1 2(c + e) 2(c 1 1 1 4 4 4 1 1 -1 4 4 4 1 1 -1 + e) 2(c + e) 2(c + e ) [1], r -- , c -- , e -- , [1 ,2 ,3 ,4 ]T -- . ... Omni-directional mobile robot controller based on tra jectory linearization // Robot. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/6a7/ND_2013_v9_n1_08.pdf -- 435.7 Кб -- 09.12.2015
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155. http://ics.org.ru/upload/iblock/9dd/borisov2015.pdf
... The motion of the Chaplygin sphere with an additional constraint forc ing the point of contact to remain on a straight line was investigated by A.P. Veselov and L.E. Veselova in [6]. ... We consider the problem of a sphere (Chaplygin sphere) rolling on a plane and subject to a nonholo nomic constraint (the Veselova constraint) [7] (, E) = 0, where E is the unit vector fixed in space. ... As is well known [4], the arising system proves to be equivalent to the Veselova problem and is integrable. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/9dd/borisov2015.pdf -- 256.5 Кб -- 08.12.2015
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156. http://ics.org.ru/upload/iblock/7bb/RCD701.pdf
ISSN 1560-3547, Regular and Chaotic Dynamics, 2015, Vol. ... 6 2015 SEQUENTIAL DYNAMICS IN THE MOTIF OF EXCITATORY COUPLED ELEMENTS 703 Then the system under study equation): 1 = = 2 3 = takes the following form (we deleted two multipliers from every (F (2 )+ F (3 ))1 (-1+2F (3 ) - 1 2 ), (F (3 )+ F (1 ))2 (-1+2F (1 ) - 2 2 ), (F (1 )+ F (2 ))3 (-1+2F (2 ) - 3 2 ). ... Vol. ... 6 2015 SEQUENTIAL DYNAMICS IN THE MOTIF OF EXCITATORY COUPLED ELEMENTS 709 function, the system takes the form (4.2). ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/7bb/RCD701.pdf -- 770.8 Кб -- 08.12.2015
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157. http://ics.org.ru/upload/iblock/a49/RCD716.pdf
ISSN 1560-3547, Regular and Chaotic Dynamics, 2015, Vol. ... Spherical Rob ot of Combined Typ e: Dynamics and Control Alexander A. Kilin1* , Elena N. Pivovarova1** , and Tatyana B. Ivanova2 2 *** Udmurt State University, ul. ... In [15], the dynamics and control of the motion of a spherical rob ot with an internal omniwheel platform is discussed. ... REGULAR AND CHAOTIC DYNAMICS Vol. ... DYNAMICS OF THE FREE SYSTEM Consider the dynamics of the free motion of the spherical rob ot. ... Monogr., vol. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/a49/RCD716.pdf -- 307.9 Кб -- 08.12.2015
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158. http://ics.org.ru/upload/iblock/972/RCD752.pdf
... Gubkina 8, Moscow, 119991 Russia Received October 12, 2015; accepted November 9, 2015 Abstract--In this paper, we develop the results obtained by J. Hadamard and G. Hamel concerning the possibility of substituting nonholonomic constraints into the Lagrangian of the system without changing the form of the equations of motion. ... Equations (1.5) along with the kinematic relations x = v1 cos - v2 sin , y = v1 sin + v2 cos ( 1. 6) form a closed system of equations describing the motion of the vehicle. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/972/RCD752.pdf -- 266.9 Кб -- 03.12.2015
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159. http://ics.org.ru/upload/iblock/db4/RCD739.pdf
ISSN 1560-3547, Regular and Chaotic Dynamics, 2015, Vol. ... Fig. ... The constraint equations , which imply the absence of slipping at the points of contact of the wheels with the supporting surface (i.e., the velocities of ... the points of contact with the support are zero), have the form v + Jz ri +( + i )Jz rij + hij ni = 0, i , j = 1, 2 , (2.1) ni = cos (i + ), sin (i + ) , v = (x, y ), ri = (?bi cos , ?bi sin ), di cos (i + ) - sin (i + ) 0 -1 , , Jz = rik = (-1)k+1 aik 10 sin (i + ) ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/db4/RCD739.pdf -- 446.9 Кб -- 03.12.2015
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160. http://ics.org.ru/upload/iblock/7a5/2330.pdf
ISSN 1560-3547, Regular and Chaotic Dynamics, 2013, Vol. ... Strange Attractors and Mixed Dynamics in the Problem of an Unbalanced Rubb er Ball Rolling on a Plane Alexey O. Kazakov* Institute of computer science ul. ... The motions of the ball are described by a nonholonomic system reversible with respect to several involutions whose number depends on the type of displacement of the center of mass. ... Vol. ... Dynamics, Bifurcations and Strange attractors" (Nizhny Novgoro d, Russia, 2013), pp. ...
[ Текст ]  Ссылки http://ics.org.ru/upload/iblock/7a5/2330.pdf -- 1686.3 Кб -- 29.10.2015
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