... INTEGRALS EXIST IN THE PROBLEM OF A BODY ROLLING ON A SURFACE Received September 16 ... integral of system (1.1) H = 1 (I + mR2 ) 2 - 1 mR2 ( , n )2 + U (x ) 2 2 (1.3) and ...
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Ссылки http://ics.org.ru/upload/iblock/64e/127-new-cases-when-the-invariant-measure-and-first-integrals-exist-in-the-problem-of-a-body-rolling-on-a_ru.pdf -- 149.4 Кб -- 28.10.2015 Похожие документы
... two dimensional sphere TS 2; as a result, we obtain a four dimensional system with energy integral E. Its properties depend essentially on the presence or absence of additional (tensor) invariants, such as an invariant measure or an additional integral ...
... the structure of our integral is somewhat different from the integral obtained in [2 ... integral of an arbitrary odd degree in momenta, we have also obtained an integral of ... integral J is the Jacobi integral existing for any natural systems with a ...
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Ссылки http://ics.org.ru/upload/iblock/a44/155-superintegrable-system-on-a-sphere-with-the-integral-of-higher-degree_ru.pdf -- 126.3 Кб -- 28.10.2015 Похожие документы
... according to Fubini's theorem) the integral of ( , ) over the variable R exists (and ... Specifically, the integral (1.3) is also zero. ... Then, the integral (1.1) takes the form u(x, t) = h( )(x - t)dn . ...
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Ссылки http://ics.org.ru/upload/iblock/daa/139-notes-on-diffusion-in-collisionless-medium_ru.pdf -- 150.0 Кб -- 28.10.2015 Похожие документы
... For this purpose, he explicitly found an invari ant measure and first integrals. ... gave an invariant measure and first integrals making it possible to integrate the ... There are also explicit geometrical integrals 2 =1, E2 =1, (, E) = const. ...
... versions of the Chaplygin vector integrals and two additional linear integrals ... integrals (1.10), (1.11) and the integral F1 (but did not indicate the integral F2 ...
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Ссылки http://ics.org.ru/upload/iblock/ad1/165-two-non-holonomic-integrable-problems-tracing-back-to-chaplygin_ru.pdf -- 151.3 Кб -- 28.10.2015 Похожие документы
... 2 (7) The integral (7) relates to the integrals (4) by F = K + px + py . ... integral f. Figure 3 shows the types of these phase portraits corresponding to ... integrals T and F by maximizing and minimizing, respectively, of the function = R ...