Search results for "hamiltona sistēma"

showing 2 items of 2 documents

Hamiltona sistēmu risināšanas un mācīšanās struktūru saglabājošie algoritmi

2021

Darbā aplūkotas Hamiltona sistēmu īpašības un struktūru saglabājošie algoritmi, kurus pielietojot tiek saglabātas attiecīgās īpašības. Izrādās, ka svarīga īpašība, kas raksturo Hamiltona sistēmas, ir plūsmas simplektiskums. Tiek apskatītas simplektiskas skaitliskās metodes un tiek pārbaudīts, ka tās darbojas labāk nekā parastas skaitliskās metodes, kad tiek risināta Hamiltona sistēma. Liela uzmanība veltīta neironu tīkliem, izpētot tos un ar tiem saistītās lietas, jo neironu tīklus tagad ir iespējams pielietot arī Hamiltona sistēmām. Tiek aplūkoti uz datiem balstīti simplektiskie neironu tīkli un pielietoti dažādiem piemēriem, pārbaudot to darbības spējas. Praktiskie rezultāti parāda, ka la…

Matemātikastruktūras saglabāšanasimplektiskas skaitliskās metodessimplektiskas plūsmasHamiltona sistēmasneironu tīkli

researchProduct

Otrās kārtas parasto diferenciālvienādojumu divpunktu robežproblēmas ar asimetriskām nelinearitātēm

2017

Darbs ir veltīts 2.kārtas parasto diferenciālvienādojumu robežproblēmam. Tiek apskatīta divpunktu robežproblēma ar asimetriskām nelinearitātēm. Ir iegūti rezultāti par atrisinājuma eksistenci un skaitu. Darbā ir paradīts, ka robežproblemu atrisinājumu skaits ir atkarīgs no intervāla garuma.

transformāciju metodeRobežproblēmas ar asimetriskām nelineartātēmMatemātikapiešaudes metodehamiltona sistēma

researchProduct

PEPhysical Sciences and Engineering
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