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1
Utilization of chaos theory for simulating of some problems in natural and technical sciences
Kratochvil C., Houfek M., Sveda P.
Modelling and Optimization of Physical Systems
|
2012
|
z. 11
27--30
EN
Chaos and chaos theory is a field of study in mathematics, Computer science, electronics, physics and engineering too. Over the last two decades, theoretical design and circuit implementation of various chaos generator have been a focal subject of increasing interest due to their promising applications in various real-world chaos-based technologies and information systems. In our article unidirectional and diffusive coupling of identical n-double scroll cells in a one-dimensional cellular neural network is studied.
2
Quantum mechanics and chaos
Kratochvil C., Sveda P.
Modelling and Optimization of Physical Systems
|
2011
|
z. 10
45--48
EN
Chaos is a term used to describe the unpredictable and seemingly random behaviour of dynamic systems. We can consider chaotic systems in real world to be deterministic, because it is assumed that they are determined by initial conditions. It is known, that chaotic systems can be routed to a state described by chaotic, respectively strange attractor. But this means, that the system can maintain a sufficiently far from equilibrium, for it may cause long-term growth of internal orderliness. It assumes its connection with the area of quantum microworld that is not fully deterministic effects and allows the internal state of the system without any outside interference.
CS
Chaos je termin poużivany pro popis nepfedvidatelneho a zdanlive nahodneho chovani dynamickych systemu. Chaoticke systemy makrosveta oznaćujcmc za deterministickć, protoze se pfedpoklada, że jsou urceny deterministickym poćatećnim stavem. Je znamo, ze chaoticke systemy mohou smerovat do stavu charakterizovaneho chaotickym, resp. podivnym atraktorem (strange attractor). To ale znamena, ze se system muze udrzovat dostatećnć daleko od rovnovahy, muze u nej dojit k dlouhodobćmu rustu vnitfni uspofadanosti To ovsem pfedpoklada jcho spojitost s oblasti kvantoveho mikrosveta, ktera neni plne deterministicka a umoźńuje ovlivneni vnitfniho stavu systemu bez vnejsiho zasahu.
3
Detection deterministic chaos in drive systems
Houfek M., Kratochvil C.
Modelling and Optimization of Physical Systems
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2011
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z. 10
25--28
EN
The existence of chaotic systems in control systems is a serious problem of engineering practice. Unfortunately, many of identification practices, permitting their identification is very difficult. The article is an example of some simple practices and their contexts, permitting the emergence of chaos to predict.
4
Chaos in the model atomic nuclei and other applications of quantum mechanics
Sveda Ρ., Kratochvil C.
Modelling and Optimization of Physical Systems
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2011
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z. 10
85--88
EN
Quantum chaos was discovered in atomic nuclei, which influences the course of nuclear reactions. But it turned out that the quantum chaos occurs universally for a broad class of problems, for example, when analyzing the distribution of spectral lines in the optical, acoustic, microwave technology. And also quantum chaos is discussed in connection with the construction of quantum computers.
CS
Kvantovy chaos byl objeven u atomovych jader, kde ovlivnuje prubeh jadernych reakci. Ovsem ukazalo se, ze kvantovy chaos se vyskytuje univerzalne u sirokych tfid problemu, napfiklad pfi analyze rozdeleni spektralnych car v optice, v akustice, v mikrovlnne technice. A o kvantovem chaosu se mluvi i v souvislosti s uvahami o konstrukci kvantovych pocitacu.
5
Chaos in solar system
Kratochvil C., Sveda P.
Modelling and Optimization of Physical Systems
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2010
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z. 9
55--60
EN
At first sight, it appears that the Solar System is an example of simplicity and order. The Sun and planets can be replaced by concentrated masses, distances among objects are great, and the masses of planets are very small comparing with the Sun. At the present time the development of astronomy, physics and mechanics, confirms that the reverse is true. The Solar System is a chaotic system with all attendant signs and symptoms, but on a galactic time scale. The following paper presents and describes some examples of chaotic events in the Solar System.
CS
Na prvý pohled se zdá, že Slunečni soustava je přikladem jednoduchosti a pořádku. Slunce i planety lze nahradit soustředěnými hmotnostmi, vzdálenost jednotlivých těles jsou veliké, hmotnosti jednotlivých planet vzhledem ke Slunci jsou velmi malé. Ukázalo se a rozvoj astronomie, fyziky a mechaniky v současné době to potvrzuje, že opak je pravdou a Slunečni soustava je soustavou chaotickou se všemi průvodnimi znaky a projevy, ovšem v galaktickém časovém měřítku. S některými projevy chaosu ve Sluneční soustavě si dovolíme čtenáře v článku seznámit.
6
Chaos and fractals
Sveda P., Kratochvil C.
Modelling and Optimization of Physical Systems
|
2010
|
z. 9
81--84
EN
Chaotic phenomena are elements of order hiding paradoxically. They are contained mainly in mathematical functions, which are used for the modelling and description. The mathematical description of chaotic phenomena works with the concept of fractals beside others. Fractals show the structure of the order or they are hidden within the seeming complexity of the described phenomena real views. Moreover, they seem to be an unexpected and strange resemblance to the attractors of chaotic dynamical systems. These attractors can be similar in their shapes or properties, but not identical, they are also totally chaotic yet. It is precisely at this interface slightly regular chaos and irregularities, attractors or generally objects are a unique place of fractal geometry.
CS
Chaotické jevy v sobě paradoxně ukrývají prvky řádu. Je obsažen především v matematických funkcích, které používáme k jeho modelování a popisu. Matematická forma popisu chaotických jevů pracuje mimo jiní i s pojmem fraktály. Ty ukazují na strukturu řádu, ukrytou ve zdánlivé či skutečné složitosti zobrazení popisovaných jevů. Navíc, fraktály jeví nečekanou a podivuhodnou podobnost s tzv. podivnými atraktory chaotických dynamických systémů. Tyto atraktory mohou být podobné svými tvary nebo vlastnostmi, ale stejné nejsou, ale zcela chaotické také ještě ne. A právě na tomto rozhraní „mírně pravidelného chaosu“ a nepravidelnosti atraktorů a obecně vzato objektů, je nezastupitelné místo fraktalní geometrie.
7
Contribution to problem of chaos control in the dynamics systems
Kratochvil C, Heriban Ρ, Sveda Ρ.
Modelling and Optimization of Physical Systems
|
2009
|
z. 8
77--80
EN
Chaos is present in many aspect of life. Physics is usually the field where chaos control became a paradigma and discipline itself. It is very difficult to detect and control chaotic behavior in nonlinear engineering dynamical Systems. This contribution introduces some basic concepts for controlling chaos and describes some mathematical methods for controlling chaos in dynamic systems
8
Chaos in drive system
Houfek L., Kratochvil C, Krejsa J., Navrat Τ.
Modelling and Optimization of Physical Systems
|
2009
|
z. 8
55--58
EN
The paper is focused on analysis of dynamic properties of drive systems. It deseribes the possible ways of stability analysis and possible ways of analysis of bifurcation of steady states and possible oceurrence of chaotic behavior.
9
Bifurcation diagram for drive system
Houfek L., Kratochvil C., Krejsa J., Navrat T
Modelling and Optimization of Physical Systems
|
2008
|
z. 7
43--46
EN
The paper is focused on analysis of dynamic properties of drive systems. It describes the possible ways of stability analysis and possible ways of analysis of bifurcation of steady states and possible occurrence of chaotic behavior.
10
Bifurcation and chaos in electromechanical drive systems with small motors
Kratochvil C., Houfek L., Houfek M., Krejsa J.
Modelling and Optimization of Physical Systems
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2008
|
z. 7
55--58
EN
The purpose of this article is to provide an elementary introduction to the subject of chaos in the electromechanical drive systems. In this article, we explore chaotic solutions of maps and continuous time systems. These solutions are also bounded like equilibrium, periodic and quasiperiodic solutions.
11
Content available Conception of Robot-Environment Simulating Modelling
Grepl R., Kratochvil C.
Pomiary Automatyka Kontrola
|
2007
|
R. 53, nr 1
3-5
EN
This paper deals with the complex modelling of four legged mobile walking robot. The aim of designing such model is the demand of virtual prototyping instead of performing experiments on real device. The model is implemented in Matlab environment. The general structure of model is described, then particular components are briefly introduced. An application example of the model for the gait generation is given at the end of paper.
PL
Artykuł dotyczy złożonego modelowania czworonożnego robota kroczącego. Celem modelowania jest zastąpienie badań rzeczywistego obiektu wirtualnym prototypowaniem. Model opracowano w środowisku obliczeniowym Matlab. Opisano ogólną strukturę modelu i przybliżono poszczególne jego składniki. Na zakończenie przedstawiono przykład wykorzystania modelu do generowania chodu robota.
12
Problems of solution of complex drive system
Kratochvil C., Heriban P.
Modelling and Optimization of Physical Systems
|
2007
|
z. 6
95--98
EN
Today the drive system is considered mainly as interactive system containing a range of subsystems with different physical nature: mechanical - the basic ones, electrical and hydraulic, pneumatic and also electronic - control ones. Models of those complex systems can then be characterized as so called 'purpose build and partially structured'. The aim is to keep so called functional model purpose - in comparison with the real system, which does not necessarily mean that the model must contain all the function and signs. The control of such systems then more and more often require use of intelligent control algorithms.
13
Chaotic behavior description in technical systems
Houfek L., Kratochvil C., Krejsa J., Houfek M., Navrat Τ.
Modelling and Optimization of Physical Systems
|
2007
|
z. 6
77--80
EN
Chaotic behavior of technical systems is lately under great interest of researchers. The paper describes a possibility to analyze system which exhibits chaotic oscillations. For simplicity the model of Duffing oscillator was selected as analyzed case, as the chaotic oscillations occur in this model. Bifurcation diagram and phase plane analysis are used as analysis tool.
14
Bifurcation and chaos in drive systems
Kratochvil C., Houfek L., Houfek M., Krejsa J.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
|
2006
|
z. 31
89-94
EN
The paper is focused on analysis of dynamic properties of controlled drive systems. It describes the possible ways of stability analysis. Paper is also focused on bifurcation of steady states and possible oceurence of chaotic behavior.
15
Analysis resonant and off resonant status nonlinear drive system with nonlinear clutch
Houfek M., Kratochvil C.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
|
2006
|
z. 31
63-66
EN
The dynamic behaviour of drive system is described in the paper. The non-linearity is modeled as clearance in the clutch between the gear and working path. In the paper we present the simulations of dynamic behaviour and description of possible bifurcation of steady states and chaotic behaviour.
16
Modeling and analysis of dynamic properties of small electromechanical drive systems
Kratochvil C., Brezina T.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
|
2005
|
z. 28
89-98
EN
Analysis of dynamic properties of interactive drive systems is lately the object of interest among researches from both academic and industry fields. This interest is reflection of mutually contradicting requirements put into the development of current drive system, mainly the drives itself. On one hand we see the performance and failure-free operation requirements, on the other hand the reduction of energy input, size minimization and operation automation. The paper introduces some of the problems involved in this field.
17
Modelling of dynamic properties of interactive drive systems
Kratochvil C., Prochazka F.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
|
2004
|
z. 25
89-92
PL
Analiza własności dynamicznych interaktywnych układów napędowych jest ostatnio przedmiotem zainteresowania i badań zarówno w środowisku naukowym jak również w przemyśle. Zainteresowanie to wynika z konieczności spełnienia wzajemnie sprzecznych wymagań nakładanych na rozwój układów napędowych. Z jednej strony zwracamy uwagę na osiągi i bezusterkowość procesu, natomiast z drugiej strony na zmniejszenie mocy na wejściu, zmniejszenie wymiaru i automatyzację procesu. Artykuł przedstawia niektóre problemy związane z tą problematyką.
EN
Analysis of dynamics properties of interactive drive systems is lately the object of interest among researches from both academic and industry fields. This interest is reflection of mutually contradicting requirements put into the development of current drive systems, mainly the drives itself. On one hand we see the performance and failure free operation requirements, on the other hand the reduction of energy input, size minimization and operation automation. The paper introduces some of the problems involved in this field.
18
Modelovani a analyza dynamickych vlastnosti elektromechanickych pohonovych soustav
Kratochvil C., Prochazka F.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
|
2003
|
z. 22
57-61
EN
Todays requirements on drive design essentially differs from requirements usual in the past. Firstly the requirements on operating effects appears during the design phase and so called "complex" modeling, modeling "in alternatives" with the emphasis on design influence on the environment starts to enforce. Dynamic and stress/strain analysis (even the complex ones) become common rutines and provision of operating reliability for the specified period analyzed structure technical life become the priority. What are the sources of current requirements on new drive systems development? Let us list at least the basic ones: more and more complex development cycle, reflecting new technical, technological, ecological and other requirements, overlapping the particular phases during design, preparation and production introduction stage with the aim to reduce the time necessary for new system development as much as possible, requirements on properties and behavior of designed system are often changed during the design stage as the effect of fast innovative cycles or as the effect of science and technology development. The contribution shows how to solve mentioned problems during the analysis of particular technical systems with tooth wheels and gears. To model and simulate such systems it is necessary : - to create objective structured model of basic mechanical structure, - to create at least simplified models of meshing conditions, transfer function and kinematic excitation for tooth wheels and gears, - to create model of surrounding environment, - to formulate the concept of drive system control and - to propose the way of integration of basic drive structure, surrounding environment and control.
19
Použití algoritmu umělé inteligence při modelování dynamickych vlastností pohonovych soustav
Kratochvil C., Krejsa J.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
|
2001
|
z. 16
81-84
EN
The paper presents application of classical methods of modelling and methods of artificial inteligence for investigations of dynamic properties of drive systems. Comparision of results obtained from classical and heuristic approach shows some characteristic properties of neuronal networks.
20
Modellig of dynamic properties of drive systems
Kratochvil C., Kalous J., Kotek V.
Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
|
2000
|
z. 12
127-131
EN
This article deals with the simulation of dynamic responses of electromechanical drive systems using mathematical-numerical methods. We constructed an idealized torsion system of the mechanical part of the real drive to examine the parasitic effects.
PL
W artykule przedstawiono symulację odpowiedzi dynamicznych elektromechanicznych układów napędowych z wykorzystaniem modelowania matematyczno-numerycznego. W celu zbadania efektów pasożytniczych opracowano wyidealizowany układ skrętny części mechanicznej rzeczywistego napędu.
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