|
| |
|
|
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.
|
|
|
Chaos v porušených polích černých děr
Witzany, Vojtěch ; Semerák, Oldřich (advisor) ; Heyrovský, David (referee)
The loss of complete geodesic integrability is one of the important consequences (and thus indicators) of deviation from the Kerr-type space-time. Indeed, it has been confirmed many times in the literature that even a highly symmetric perturbation of the Kerr or Schwarzschild metric can make the free test-particle motion chaotic. In this thesis, we study the test-particle dynamics in the field of a Schwarzschild black hole surrounded by a thin disc or ring, using, however, Newton's gravity with a simple "pseudo- Newtonian" potential to mimic the black hole. The Poincaré sections show that the (pseudo-)Newtonian system is slightly more chaotic than the general relativistic one. The difference seems to be correlated with the phase-space allowed region being more open towards the center in the pseudo-Newtonian case. Powered by TCPDF (www.tcpdf.org)
|
|
|
Individual on the verge of chaos in Dostoyevsky's novel The Brothers Karamazov
Smejkalová, Julie ; Hříbková, Radka (advisor) ; Hlaváček, Antonín (referee)
The main aim of the Bachelor thesis "An individual on the verge of chaos in Dostoyevsky's novel The Brothers Karamazov" is to analyse an individual in search of one's identity in the chaotic world of the second half in the XIX century Russia. The good and the evil collide in the souls of the characters who feel lost in the world of sudden changes of moral certainties, various philosophical streams and influences which emerge. The introductory part of the thesis is focused on defining the contradictory period of the second half of the XIX century. Following that, the conception of chaos is defined and explored both from the perspective of the external chaos in the world as well as the internal one which in the works of Dostoyevsky manifests itself in the individual's intense suffering leading to a complete degradation of personality. The main part of the thesis concentrates on the analyses of different approaches by which the protagonists of the novel try to reach an internal harmony. The final chapter is dedicated to the youngest of the three brothers, Alexey, in whose faith and the unconditional love for his homeland and everyone around him, Dostoyevsky finds the firm ground for achieving true personal fulfilment and harmony.
|
|
|
Mythic structures and religious motives in the universe of StarCraft computer game series.
Michalič, Robert ; Kostičová, Zuzana (advisor) ; Petříček, Miroslav (referee)
The goal of this work is to provide the reader with an interpretation of races, factions and storyline of the Starcraft game series universe from the perspective of religious studies and to set its results into context of modern spiritual beliefs collectively called New Age. First part of the work analyzes narrative elements which are found in races and factions of Starcraft univerze and reaches the conclusion that through them the game operates with religiously relevant classification categories of purity and dirtiness, order and chaos. The second part utilizes these results in an analysis of narrative structures understood as relations and interactions between particular races and factions, and shows that categories of order and chaos/purity and dirtiness are functionally analogous to Victor Turner's categories of structure and anti-structure. Conclusion of this analysis claims that Starcraft thematizes the problem of one's oppozite's prevalence over the other. The third part summarizes conclusions of both previous parts, gives examples of order/chaos relations in historical religions and shows how narrative structures present these beliefs as problematic. Subsequently this work points out the identical beliefs celebrating the balance between opposites found in New Age, tries to explain the...
|
|
|
Chaotic system modeling using MATLAB
Lejdar, Lukáš ; Raidl, Aleš (advisor) ; Šindelářová, Kateřina (referee)
In the presented bachelor's thesis we study behavior of dynamical systems. Some interesting attributes of dynamical systems are presented using programs written by the author. For computational part of the programs MATLAB was used and for presentation of output data MATLAB in combination with GNUPLOT were used. Basic terms in chaos theory are explained with examples. In one-dimensional case we focus on the logistic map and we demonstrate a transition to chaos on it. In two-dimensional space we study the Hénon map and in three-dimensional space we take a closer look at some interesting attributes of the famous Lorenz system.
|
|
|
Chaotic Motion around Black Holes
Suková, Petra ; Semerák, Oldřich (advisor) ; Šubr, Ladislav (referee) ; Loukes-Gerakopoulos, Georgios (referee)
As a non-linear theory of space-time, general relativity deals with interesting dynamical systems which can be expected more prone to chaos than their Newtonian counter-parts. In this thesis, we study the dynamics of time- like geodesics in the static and axisymmetric field of a Schwarzschild black hole surrounded, in a concentric way, by a massive thin disc or ring. We reveal the rise (and/or decline) of geodesic chaos in dependence on parameters of the sys- tem (the disc/ring mass and position and the test-particle energy and angular momentum), (i) on Poincaré sections, (ii) on time series of position and their power spectra, (iii) by applying two simple yet powerful recurrence methods, and (iv) by computing Lyapunov exponents and two other related quantifiers of or- bital divergence. We mainly focus on "sticky" orbits whose different parts show different degrees of chaoticity and which offer the best possibility to test and compare different methods. We also add a treatment of classical but dissipative system, namely the evolution of a class of mechanical oscillators described by non-standard constitutive relations.
|
|
|
Order, Progress, and Ideal Government in Claudian's Epic De Raptu Proserpinae
Pastyříková, Iveta ; Bažil, Martin (advisor) ; Fořt, Bohumil (referee)
IVETA PASTYŘÍKOVÁ: ORDER, PROGRESS, AND IDEAL GOVERNMENT IN CLAUDIAN'S EPIC DE RAPTU PROSERPINAE ABSTRACT The aim of the diploma thesis is to show how late Ancient poet Claudius Claudianus deals with the problem of ideal government in the mythological epic De Raptu Proserpinae, by which strategies he exhorts his reader to evaluate Jupiter's rule in the world of the poem and to compare it with the situation in the real world. The chosen method is the theory of fictional worlds. Firstly, the thesis outlines the relation between the fictional world of the epic and the real world, then, the attention is paid to the essential question of this fictional world, ideal government. The thesis presents the prefaces of the epic as entrances into the fictional world foreshadowing topics elaborated in the world of the poem, where the ruler Jupiter has a difficult task ahead of him: to harmonize progress with protection against chaos. The last chapter summarizes the author's strategies and compares the epic with Claudian's other poems.
|
|
|
Evolution as a Way to God in the Work of Teilhard de Chardin
Jirousová, Františka ; Karfíková, Lenka (advisor) ; Sokol, Jan (referee) ; Macek, Petr (referee)
This dissertation deals with the notion of centration in the work of Teilhard de Chardin, the notion being examined with regard to two related aims: 1) to illustrate the logical structure of Teilhard's Christian theory of evolution, and 2) to explain the relation between centration carried out by created beings and centration assigned to God as the focal point of evolution. In other words: to explore the connection between fundamental freedom attributed by Teilhard to created beings and culminating in human beings according to him, and God's freedom demonstrating itself in controlling the universe and directing it to a goal being the fullness of being (pleroma). The first part presents Teilhard's life and the contexts of his work. The second part explains the main notions of Teilhard's theory and metaphysics, such as "consciousness", "spirit", "energy", "centro-complexity", and "matter", and relates them to the notion of centration. Centration is presented here as an activity of the consciousness consisting in the unifying formation of multitude by its interconnection with different types of relations around one centre. In such unification, the main law of evolution manifests itself - the Law of Differentiating Unity. This means that parts unified in such way start differentiating again. What is...
|
|
|
Model Of Chaotic Single Stage Transistor Amplifier In Class C
Rujzl, Miroslav
This article deals with design and experimental verification of a single stage transistoramplifier in class C which is introduced to chaotic state. The basic procedure of deriving differentialequations and representation of dynamical system is presented. Equivalent circuit of transistor stagewas transformed to the real model based on operation amplifier integrators. Chaotic behavior wasconfirmed by strange attractors captured by oscilloscope.
|
guest ::
