Singulyarnye Funktsii Lineynykh Dinamicheskikh Sistem

Monografiya posvyashchena singulyarnym funktsiyam lineynykh dinamicheskikh sistem. Rassmatrivaetsya sistematizatsiya lineynykh operatorov, opirayushchayasya na priznaki ikh simmetriy. Vvodyatsya ponyatiya diskretnoy chastotnoy kharakteristiki lineynoy dinamicheskoy sistemy (DChKh) i kharakteristicheskogo uravneniya dlya poiska diskretnogo spektra elementarnykh dinamicheskikh zven'ev. Pokazyvaetsya svyaz' DChKh s klassicheskoy amplitudnoy chastotnoy kharakteristikoy (AChKh). Privodyatsya primery postroeniya naturnykh eksperimentov dlya iteratsionnogo poiska singulyarnykh funktsiy odnosvyaznykh i mnogosvyaznykh lineynykh dinamicheskikh sistem. Poyasnyaetsya zadacha identifikatsii lineynogo dinamicheskogo ob"ekta po ego singulyarnoy funktsii. Kniga polezna dlya prepodavateley, as-pirantov i studentov, izuchayushchikh kursy po teorii lineynykh dinamicheskikh sistem.