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Chislennye Metody I Obobshchenno-periodicheskie Resheniya Dinamicheskikh Sistem: Realizatsiya Vychislitel'nogo Eksperimenta V Raspredelennoy Komp'yuternoy Srede Aleksandr Pchelintsev Russian edition
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Chislennye Metody I Obobshchenno-periodicheskie Resheniya Dinamicheskikh Sistem: Realizatsiya Vychislitel'nogo Eksperimenta V Raspredelennoy Komp'yuternoy Srede
Aleksandr Pchelintsev
V nastoyashchee vremya v razlichnykh oblastyakh estestvoznaniya (naprimer, v gidrodinamike) chasto voznikayut potrebnosti issledovaniya nelineynykh dinamicheskikh sistem. Odnoy iz pervykh rabot v etom napravlenii byla stat'ya E. Lorentsa, v kotoroy obsuzhdalis' rezul'taty vychislitel'nogo eksperimenta dlya nelineynoy sistemy obyknovennykh differentsial'nykh uravneniy, modeliruyushchey dinamiku zhidkosti pri svobodnoy konvektsii v ploskom sloe. Povedenie resheniy v sisteme Lorentsa opredelyayut rekurrentnye traektorii. Opredelenie takoy traektorii, vvedennoe Dzh. Birkgofom, ne daet vozmozhnosti chislenno ee postroit'. Odnako v poslednie 20 let poyavilis' raboty, v kotorykh vvedeno ponyatie obobshchenno-periodicheskogo resheniya, opisyvayushchego rekurrentnuyu traektoriyu. Teorema sushchestvovaniya etikh resheniy pozvolyaet poluchit' chislennyy metod ikh postroeniya. Otyskat' zhe obobshchenno-periodicheskie resheniya s pomoshch'yu standartnykh sredstv vychislitel'noy matematiki ne predstavlyaetsya vozmozhnym. Poetomu problema razrabotki effektivnykh chislennykh metodov postroeniya obobshchenno-periodicheskikh resheniy obyknovennykh differentsial'nykh uravneniy yavlyaetsya aktual'noy.
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | October 14, 2010 |
| ISBN13 | 9783843302005 |
| Publishers | LAP LAMBERT Academic Publishing |
| Pages | 108 |
| Dimensions | 150 × 7 × 225 mm · 179 g |
| Language | German |