Asinkhronnye Kolebaniya V Differentsial'nykh Sistemakh: Usloviya Sushchestvovaniya I Upravlenie Russian edition

Rassmatrivayutsya periodicheskie, kvaziperiodicheskie i pochti periodicheskie resheniya sistem differentsial'nykh uravneniy, obladayushchie svoystvom asinkhronnosti, sostoyashchem v tom, chto chastotnye moduli resheniya i sistemy ne sovpadayut i nakhodyatsya v razlichnykh sootnosheniyakh. Vydelyayutsya klassy sil'no, chastichno i slabo neregulyarnykh resheniy. V periodicheskom sluchae sil'naya neregulyarnost' oznachaet nesoizmerimost' periodov resheniya i samoy sistemy. Issledovany voprosy sushchestvovaniya takikh resheniy dlya dostatochno shirokikh klassov periodicheskikh, kvaziperiodicheskikh i pochti periodicheskikh differentsial'nykh sistem: nelineynykh vozmushchennykh (v tom chisle slabo nelineynykh); lineynykh kvazigarmonicheskikh, s pochti periodicheskoy vynuzhdayushchey siloy, s malymi periodicheskimi vozmushcheniyami, a takzhe sistem Pfaffa. Privedeny illyustriruyushchie primery. Postavlena zadacha sinteza asinkhronnykh kolebaniy lineynykh sistem v vide zadachi upravleniya asinkhronnym spektrom i namecheny podkhody k ee resheniyu. Dlya spetsialistov po kachestvennoy teorii differentsial'nykh uravneniy i teorii kolebaniy.