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Bifurcation analysis of electric drive
Mach, Martin ; Vrba, Jaromír (referee) ; Koláčný, Josef (advisor)
This master thesis is deals with phenomenon of bifurcation in DC drive. It contains theoretical part, results of simulations and measurements of real DC drive in laboratory. The simulations was made in MATLAB, their results are bifurcation diagrams for different value of parameters. Target of measurement in laboratory was observed bifurcation on the real DC drive. Results of measurement are too transformed to bifurcation diagrams.
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Welding technology and assembly of bifurcation
Keprt, Michal ; Daněk, Ladislav (referee) ; Kubíček, Jaroslav (advisor)
Aim of this work is design and manufacturing welding technology of bifurcation. For structural design and control of static calculation using the finite element method was used SolidWorks ® 2013. Material of bifurcation parts was designed S 355 J2, which is able to withstand a given load. In the design of technology of welding there was elected MAG-welding method, with the active gas mixture Ar +18% CO2. Additive material for welding will be OK Autrod 12.51, like it‘s marked by ESAB s.r.o. For each weld is necessary to create the welding edge, which is made on CNC machining center. In the production we require strict adherence to the prescribed workflow and compliance with WPS protocol. After welding we will make weld test, visual examination, dye penetrant and ultrasonic examination.
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Bifurcation Localization in Retina Images
Pres, Martin ; Drahanský, Martin (referee) ; Semerád, Lukáš (advisor)
From biometrical point of view, main features of retina are fovea, optic nerve and blood vessel tree. Blood vessel tree is unique for each person and this biological feature is used in biometric systems for person-recognition by retinal images. This document describes methods for optic disc and fovea localization, method for vessel tree segmentation, which is based on well-known \emph{Matched filters} method and also describes method for localization of blood vessel bifurcations. Main goal of this thesis is creation of program which can automatically preprocess input image, segment blood vessels and localize vessel bifircations. The program is implemented in Java with OpenCV library.
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The Lorenz system: A route from stability to chaos
Arhinful, Daniel Andoh ; Šremr, Jiří (referee) ; Řehák, Pavel (advisor)
The theory of deterministic chaos has generated a lot of interest and continues to be one of the much-focused research areas in the field of dynamics today. This is due to its prevalence in essential parts of human lives such as electrical circuits, chemical reactions, the flow of blood through the human system, the weather, etc. This thesis presents a study of the Lorenz equations, a famous example of chaotic systems. In particular, it presents the analysis of the Lorenz equations from stability to chaos and various bifurcation scenarios with numerical and graphical interpretations. It studies concepts of non-linear dynamical systems such as equilibrium points, stability, linearization, bifurcation, Lyapunov function, etc. Finally, it discusses how the Lorenz equations serve as a model for the waterwheel (in detail), and the convection roll for fluid.
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Self-excited oscillators in electronics
Grill, Jiří ; Dobis, Pavel (referee) ; Štrunc, Marian (advisor)
The aim of my bachelor´s project is to enter into characteristics self-excited oscillators, specifically focused on the Van der Pol oscillator. The Van der Pol oscillators produce oscillations which may be generated in nonlinear dynamic systems (autonomous or not). I also deal with periodical stationary states in the binary system, the derivation of the Van der Pol equation and analysis of its possible solution. The course of oscillations is monitored depending on its non-linearity, using computer simulation in programmes MatLab and C++ Builder 6 both for the homogenous equation (with zero right hand side term) and inhomogenous equation (with non-zero right hand side term). The latter refer to excited Van der Pol oscillator which exhibits also a chaotic regime.
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Fingerprint biometry
Smékal, Ondřej ; Drahanský, Martin (referee) ; Fedra, Petr (advisor)
Algorithms designed for identification and verification persons by fingerprints recognition are spread and used as in forensics aplications as in private sector for a long time. The aim of this thesis is to make us aquainted with various aplicated mathematic models of fingerprint processing in digital way. Second task is the presentation algorithmic solution of chosen subject identification procedure by force of Fingerprint matching. Algorithm is solid in the development environment platform Matlab.
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Nonlinear dynamical systems and chaos
Tesař, Lukáš ; Opluštil, Zdeněk (referee) ; Nechvátal, Luděk (advisor)
The diploma thesis deals with nonlinear dynamical systems with emphasis on typical phenomena like bifurcation or chaotic behavior. The basic theoretical knowledge is applied to analysis of selected (chaotic) models, namely, Lorenz, Rössler and Chen system. The practical part of the work is then focused on a numerical simulation to confirm the correctness of the theoretical results. In particular, an algorithm for calculating the largest Lyapunov exponent is created (under the MATLAB environment). It represents the main tool for indicating chaos in a system.
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Comparison of the real and idealised human airways model
Roupec, Michal ; Elcner, Jakub (referee) ; Forman, Matěj (advisor)
The purpose of this thesis is to find basic parametres of idealized geometrical lung models – Weibel’s and Horsfield’s and to measure length and diameters of each pipe from trachea to 4th generation of bifurcation. Using 3D model (scanned casting of bronchial tree of man) measure matching diameters and lengths of airways and compare them with lengths and diameters of both models. Define bifurcation angles and total geometry of real lungs. Calculate Reynolds number knowing velocity in some of the airways for real lungs and both models and compare them.
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Analysis of Logistic Maps
Adeleke, Joshua Owolabi ; Šremr, Jiří (referee) ; Řehák, Pavel (advisor)
Logistická mapa souvisí s diskrétní logistickou rovnicí. Na rozdíl od svého kontinuálního protějšku vykazuje logistická diferenční rovnice velmi komplikovanou dynamiku včetně chaotiky chování. Tato práce tak zkoumala kvalitativní chování logistické mapy podle pomocí některých matematických nástrojů. Tato dynamika byla studována systematicky, a to tak, aby její povaha byla čistá forma až do bodu, kdy bylo komplikované se s ní vypořádat, byly pečlivě studovány. dále pojem konjugace byl zaměstnán v okamžiku, kdy jeho analytický výpočet představoval být komplikovaný, s čímž byly dále odhaleny jeho vlastnosti. Byly učiněny pozoruhodné závěry, mezi nimiž je popis chaotického chování logistická mapa, jak ji odhaluje její spojení se stanovou mapou. V průběhu této studie tedy existuje další nástroj pro vyšetřování chaotického chování byla poznamenána logistická mapa, která je symbolickou dynamikou, se kterou se bude v budoucnu studovat logistická mapa může zabrat.
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