Nelinearna Fourierova analiza i problem gibanja nekoliko tijela

master's thesis

• Title (english): Nonlinear Fourier analysis and the problem of motion of several bodies
• Author: Bruno Iljazović
• Mentor: Vjekoslav Kovač (mentor)
• Committee member: Vjekoslav Kovač (predsjednik povjerenstva)
• Committee member: Eduard Marušić-Paloka (član povjerenstva)
• Committee member: Ljiljana Arambašić (član povjerenstva)
• Committee member: Matija Kazalicki (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2023-05-05, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu obrađena je teorija AKNS sustava s aspekta nelinearne Fourierove analize. U prvom dijelu su dane osnove Fourierove analize, a potom su dana eksplicitna rješenja i dokazana je stabilnost rješenja AKNS sustava gdje je to moguće.

Abstract (english)

In this work, the theory of AKNS systems is discussed from the perspective of nonlinear Fourier analysis. The first part provides the basics of Fourier analysis, followed by explicit solutions and proofs of stability for AKNS systems where this is possible.

• Keywords: teorija AKNS sustava; Fourierova analiza
• Keywords (english): AKNS systems; nonlinear Fourier analysis
• Language: croatian
• URN:NBN: urn:nbn:hr:217:975708
• Study programme: Title: Applied Mathematics; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar matematike (sveučilišni magistar matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-02-15 14:56:34