Dvodimenzijski linearni dinamički sustavi

undergraduate thesis

• Title (english): Planar linear dynamical systems
• Author: Marko Martinović
• Mentor: Ivica Gusić (mentor)
• Committee member: Ivica Gusić (predsjednik povjerenstva)
• Committee member: Miroslav Jerković (član povjerenstva)
• Committee member: Dragana Vuk (član povjerenstva)
• Granter: University of Zagreb; Faculty of Chemical Engineering and Technology; Zagreb
• Defense date and country: 2018-09-18, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics; Algebra

Abstract

Dvodimenzijski linearni dinamički sustavi važni su i učestali u znanosti i inženjerstvu (drugi Newtonov zakon gibanja gibanja, jednadžba RLC kruga u elektrotehnici, jednadžbe mnogih harmoničkih oscilatora). U ovom radu će se predstaviti način računalnog rješavanja takvih sustava, crtanja njihovih trajektorija i faznih portreta, i grupiranje takvih sustava u karakteristične skupine ovisno o njihovom ponašanju. Svi sustavi riješeni su u računalnom programu Matlab R2018a uz dodatak Symbolic Math Toolbox-a.

Abstract (english)

Planar linear dynamical systems are important and frequent in science and engineering (Newton's second law of motion, the equation for an RLC circuit in electrical engineering, equations of many harmonic oscillators). In this paper a method of solving such systems by computer will be presented, the way their trajectories and phase portraits can be drawn, and grouping such systems into characteristic groups depending on the way they behave. All systems are solved in the computer program Matlab R2018a with the addition of the Symbolic Math Toolbox.

• Keywords: dvodimenzijski linearni dinamički sustavi; trajektorije; fazni portreti; Matlab
• Keywords (english): two dimensional linear dynamical systems; trajectories; phase portraits; Matlab
• Language: croatian
• URN:NBN: urn:nbn:hr:149:446395
• Study programme: Title: Applied Chemistry - Undergraduate study; specializations in: Environmental chemistry and green technologies, Advanced materials and technologies, Applied organic chemistry; Course: Environmental chemistry and green technologies; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) primijenjene kemije (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) primijenjene kemije)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2022-05-17 14:42:25