... analytical (8.3). of an invariant measure (8.5) s (M f ) + M X + M Y = - M1 + µ M1 ... y (8.6) Since /µ is irrational for almost all I D , equation (8.5) implies M 0 = (I ...
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Ссылки http://ics.org.ru/upload/iblock/b91/131-on-the-integration-theory-of-equations-of-nonholonomic-mechanics_ru.pdf -- 457.4 Кб -- 28.10.2015 Похожие документы
... of differential equations x = u(x, t), x M n. (8.1) (8.2) The role of symmetry ... relations: vi +[vi ,u] = 0, 1 i m. (8.3) t Here, the commutator is calculated at ... vector fields (8.2) are linearly independent at al l points x M , commute with each ...
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Ссылки http://ics.org.ru/upload/iblock/51b/175-remarks-on-integrable-systems_ru.pdf -- 187.8 Кб -- 28.10.2015 Похожие документы
... DYNAMICS, V. 8, М 4, 2003 449 A. V. BORISOV, I. S. MAMAEV, S. M. RAMODANOV mechanics ... DYNAMICS, V. 8, М 4, 2003 451 A. V. BORISOV, I. S. MAMAEV, S. M. RAMODANOV ambient ...
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Ссылки http://ics.org.ru/upload/iblock/ab8/125-motion-of-a-circular-cylinder-and-n-point-vortices-in-a-perfect-fluid_ru.pdf -- 586.4 Кб -- 28.10.2015 Похожие документы
... the whole bundle x has the form dM = 0, dg d = 1 в M, G dg where g is the variable canonically conjugate to G. According to (8), M do es not dep end on g , and using equations (8) and Casimir functions (4) we obtain for the equations = H M + (M в e3 sin g ...
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Ссылки http://ics.org.ru/upload/iblock/b6b/134-generalization-of-the-goryachev-ndash-chaplygin-case_ru.pdf -- 290.2 Кб -- 28.10.2015 Похожие документы
... D ( , J 2 and with the nonlinear bracket {Mi , Mj } = The motion integrals take the form 1 C = Е (M , ), n = 12 M 2 , Е 2 = 1. (2.10) ij k -1 ))(M , J -1 M ) + 1 D ( , J 2 -1 M )2 , (2.8) {Mi , j } = (Mk - D (M , )Е2 J ij k k -1 k ,k k ), , {i , j } = 0 ...
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Ссылки http://ics.org.ru/upload/iblock/31e/120-the-dynamics-of-chaplygin-ball-the-qualitative-and-computer-analysis_ru.pdf -- 1188.3 Кб -- 28.10.2015 Похожие документы