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Asinkhronnye kolebaniya v differentsialnykh sistemakh
Cód:
491_9783848413577
Rassmatrivayutsya periodicheskie, kvaziperiodicheskie i pochti periodicheskie resheniya sistem differentsialnykh uravneniy, obladayushchie svoystvom asinkhronnosti, sostoyashchem v tom, chto chastotnye moduli resheniya i sistemy ne sovpadayut i nakhodyatsya v razlichnykh sootnosheniyakh. Vydelyayutsya klassy silno, chastichno i slabo neregulyarnykh resheniy. V periodicheskom sluchae silnaya neregulyarnost oznachaet nesoizmerimost periodov resheniya i samoy sistemy. Issledovany voprosy sushchestvovaniya takikh resheniy dlya dostatochno shirokikh klassov periodicheskikh, kvaziperiodicheskikh i pochti periodicheskikh differentsialnykh 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 differentsialnykh uravneniy i teorii kolebaniy.
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