Preobrazovaniya Differentsial'nykh Sistem, Ne Menyayushchie Simmetriy Vremeni

Bok av Mironenko Vladimir
V rabote vyvedeno uravnenie dlya nakhozhdeniya vozmushcheniy, ne menyayushchikh otobrazheniya za period periodicheskoy differentsial'noy sistemy. Ustanovleny dostatochnye usloviya sovpadeniya otobrazheniy za period periodicheskoy po vremeni differentsial'noy sistemy i avtonomnoy differentsial'noy sistemy. Predlozhen sposob postroeniya periodicheskikh differentsial'nykh sistem, imeyushchikh to zhe otobrazhenie za period, chto i zadannaya avtonomnaya sistema. Razrabotana metodika issledovaniya kachestvennykh svoystv periodicheskikh po vremeni differentsial'nykh sistem, ekvivalentnykh avtonomnym differentsial'nym sistemam; pri etom ekvivalentnost' ponimaetsya kak v smysle sovpadeniya otrazhayushchikh funktsiy, tak i v smysle svodimosti differentsial'nykh sistem drug k drugu chetnym preobrazovaniem.