Author: Agnese Sīle

0000000000363440

AUTHOR

Agnese Sīle

Gabaliem lineāru diferenču vienādojumu sistēmu uzvedība

Bakalaura darbā tiek apskatı̄ta noteikta veida gabaliem lineāru divu diferenču vienādojumu sistēmu uzvedı̄ba. Tiek pierādı̄ts, ka visi sistēmas atrisinājumi ir eventuāli lı̄dzsvara punktam. Darbā ir atreferēti raksta [5] rezultāti, kas papildināti ar izvedumiem, ilustrācijām un piemēriem. Saistı̄bā ar šo rakstu tiek analizēti citi iespējamie apskatı̄tās sistēmas gadı̄jumi atkarı̄bā no parametriem b un d. Tiek atrasti lı̄dzsvara punkti un izvirzı̄tas hipotēzes par sistēmas atrisinājumu izsturēšanos atkarı̄bā no parametriem. Vienā no gadı̄jumiem ir izdevies pierādı̄t atrisinājuma ar periodu 7 eksistenci.

research product

Gabaliem lineāru diferenču vienādojumu sistēmu izpēte

Maģistra darbā tiek apskatı̄ta gabaliem lineāru divu diferenču vienādojumu sistēmu lı̄dzsvara punktu stabilitāte. Ir atrasti vairāki kādas konkrētas diferenču vienādojumu sistēmas periodiskie atrisinājumi ar periodiem 5, 6, 7, 12 un pierādı̄ts, ka šai sistēmai neeksistē atrisinājums ar periodu 2.

research product

PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
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