Lorenzův systém: cesta od stability k chaosu
| but.committee | prof. RNDr. Josef Šlapal, CSc. (předseda) prof. RNDr. Miloslav Druckmüller, CSc. (místopředseda) doc. Ing. Luděk Nechvátal, Ph.D. (člen) doc. RNDr. Jiří Tomáš, Dr. (člen) prof. Mgr. Pavel Řehák, Ph.D. (člen) Prof. Bruno Rubino (člen) Assoc. Prof. Matteo Colangeli (člen) Assoc. Prof. Massimiliano Giuli (člen) | cs |
| but.defence | Student introduced his diploma thesis The Lorenz system: A route from stability to chaosto the committee members and explained the fundaments of his topic. He answered the oponent's questions satisfactorily. The next question was from doc. Řehák and the answer was satisfactory. | cs |
| but.jazyk | angličtina (English) | |
| but.program | Aplikované vědy v inženýrství | cs |
| but.result | práce byla úspěšně obhájena | cs |
| dc.contributor.advisor | Řehák, Pavel | en |
| dc.contributor.author | Arhinful, Daniel Andoh | en |
| dc.contributor.referee | Šremr, Jiří | en |
| dc.date.accessioned | 2020-07-20T18:58:45Z | |
| dc.date.available | 2020-07-20T18:58:45Z | |
| dc.date.created | 2020 | cs |
| dc.description.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. | en |
| dc.description.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. | cs |
| dc.description.mark | D | cs |
| dc.identifier.citation | ARHINFUL, D. Lorenzův systém: cesta od stability k chaosu [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2020. | cs |
| dc.identifier.other | 124446 | cs |
| dc.identifier.uri | http://hdl.handle.net/11012/192316 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně. Fakulta strojního inženýrství | cs |
| dc.rights | Standardní licenční smlouva - přístup k plnému textu bez omezení | cs |
| dc.subject | Lorenz equations | en |
| dc.subject | Non-linear systems | en |
| dc.subject | Equilibrium points | en |
| dc.subject | Stability | en |
| dc.subject | Linearization | en |
| dc.subject | Bifurcation | en |
| dc.subject | Lyapunov function | en |
| dc.subject | Waterwheel and Convection roll. | en |
| dc.subject | Lorenz equations | cs |
| dc.subject | Non-linear systems | cs |
| dc.subject | Equilibrium points | cs |
| dc.subject | Stability | cs |
| dc.subject | Linearization | cs |
| dc.subject | Bifurcation | cs |
| dc.subject | Lyapunov function | cs |
| dc.subject | Waterwheel and Convection roll. | cs |
| dc.title | Lorenzův systém: cesta od stability k chaosu | en |
| dc.title.alternative | The Lorenz system: A route from stability to chaos | cs |
| dc.type | Text | cs |
| dc.type.driver | masterThesis | en |
| dc.type.evskp | diplomová práce | cs |
| dcterms.dateAccepted | 2020-07-16 | cs |
| dcterms.modified | 2020-07-17-12:09:11 | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
| sync.item.dbid | 124446 | en |
| sync.item.dbtype | ZP | en |
| sync.item.insts | 2021.11.12 11:23:53 | en |
| sync.item.modts | 2021.11.12 10:28:19 | en |
| thesis.discipline | Matematické inženýrství | cs |
| thesis.grantor | Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky | cs |
| thesis.level | Inženýrský | cs |
| thesis.name | Ing. | cs |