Search results for "asimptotiskā stabilitāte"

showing 2 items of 2 documents

Plazmas vienādojuma analīze

2017

Darbā tiek apskatīta trīs dimensiju autonomu parasto diferenciālvienādojumu sistēmu, kas modelē plazmas dinamiku. Īsi aprakstīts tās izvedums, tās galvenās īpašības un, izmantojot skaitliskas un kvalitatīvas metodes, tiek pētīta stacionāro punktu lokālā un globālā stabilitāte, kā arī bifurkācijas, kas rodas pie konkrētiem parametriem. Pētījumā izmantota Ļapunova tipa funkcija un centra varietātes teorēma.

dakšas bifurkācijaglobālā asimptotiskā stabilitāteMatemātikastacionārie punktilokālā asimptotiskā stabilitāteHopfa bifurkācija

researchProduct

Laika skalu dinamisko vienādojumu integrālā stabilitāte

2015

Darbā aplūkota laika skalu dinamisko vienādojumu integrālā stabilitāte. Apskatītas svarīgākās laika skalu īpašības, triviālā atrisinājuma stabilitātes jēdziens parastajiem diferenciālvienādojumiem, diferenču vienādojumiem un laika skalu vienādojumiem. Darba mērķis ir pierādīt dinamisko sistēmu stabilitāti izmantojot laika skalu analīzi, kas būtu vispārīgs pierādījums, ko var reducēt gan uz parasto diferenciālvienādojumu stabilitāti, ja T = R, gan uz diferenču vienādojumu stabilitāti, ja T = Z, kur T ir laika skala.

integrālā stabilitāteMatemātikaasimptotiskā stabilitāteLaika skalasstabilitāte

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