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    1. Institute of Computer Sciences - Publications
    ... integrals of arbitrarily high even degree is found (unlike Kovalevskaya's case, in which the degree of the first integral of ...
    [ Сохраненная копия ]  Ссылки http://ics.org.ru/publications/index.php?cat=102&author=1649 -- 29.5 Кб -- 10.04.2016
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    2. http://ics.org.ru/upload/iblock/c44/129-an-integrability-of-the-problem-on-motion-of-cylinder-and-vortex-in-the-ideal-fluid_ru.pdf
    ... 5) The integral (4) is a generalization of the moment integral in classical mechanics and allows us to integrate the system in quadratures. ...
    [ Текст ]  Ссылки http://ics.org.ru/upload/iblock/c44/129-an-integrability-of-the-problem-on-motion-of-cylinder-and-vortex-in-the-ideal-fluid_ru.pdf -- 91.4 Кб -- 28.10.2015
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    3. 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
    ... 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 ...
    [ Текст ]  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
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    4. http://ics.org.ru/upload/iblock/a12/1134.pdf
    ... 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 ...
    [ Текст ]  Ссылки http://ics.org.ru/upload/iblock/a12/1134.pdf -- 204.5 Кб -- 15.12.2015
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    5. http://ics.org.ru/upload/iblock/a44/155-superintegrable-system-on-a-sphere-with-the-integral-of-higher-degree_ru.pdf
    ... 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 ...
    [ Текст ]  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
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    6. http://ics.org.ru/upload/iblock/daa/139-notes-on-diffusion-in-collisionless-medium_ru.pdf
    ... 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 . ...
    [ Текст ]  Ссылки http://ics.org.ru/upload/iblock/daa/139-notes-on-diffusion-in-collisionless-medium_ru.pdf -- 150.0 Кб -- 28.10.2015
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    7. http://ics.org.ru/upload/iblock/9dd/borisov2015.pdf
    ... 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. ...
    [ Текст ]  Ссылки http://ics.org.ru/upload/iblock/9dd/borisov2015.pdf -- 256.5 Кб -- 08.12.2015
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    8. http://ics.org.ru/upload/iblock/ad1/165-two-non-holonomic-integrable-problems-tracing-back-to-chaplygin_ru.pdf
    ... 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 ...
    [ Текст ]  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
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    9. http://ics.org.ru/upload/iblock/ecf/PHDK32.pdf
    ... 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 ...
    [ Текст ]  Ссылки http://ics.org.ru/upload/iblock/ecf/PHDK32.pdf -- 301.4 Кб -- 03.02.2016
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    10. http://ics.org.ru/upload/iblock/303/2471-1.pdf
    ... first integrals Hi , Hi = X (Hi ) = 0, i = 1,... ,n, and using the Poisson bivector P with respect to which the integrals of ...
    [ Текст ]  Ссылки http://ics.org.ru/upload/iblock/303/2471-1.pdf -- 510.6 Кб -- 04.08.2015
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