Original title: Lorenzův systém: cesta od stability k chaosu
Translated title: The Lorenz system: A route from stability to chaos
Authors: Arhinful, Daniel Andoh ; Šremr, Jiří (referee) ; Řehák, Pavel (advisor)
Document type: Master’s theses
Year: 2020
Language: eng
Publisher: Vysoké učení technické v Brně. Fakulta strojního inženýrství
Abstract: 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.
Keywords: Bifurcation; Equilibrium points; Linearization; Lorenz equations; Lyapunov function; Non-linear systems; Stability; Waterwheel and Convection roll.; Bifurcation; Equilibrium points; Linearization; Lorenz equations; Lyapunov function; Non-linear systems; Stability; Waterwheel and Convection roll.

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/192316

Permalink: http://www.nusl.cz/ntk/nusl-560933


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Universities and colleges > Public universities > Brno University of Technology
Academic theses (ETDs) > Master’s theses