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SEKCE 2 - ABSTRAKTY
CHAOTIC MODEL OF CARDIOVASCULAR CONTROL WITH DELAY
Jiří Holčík
Brno University of
Technology
Faculty of Electrical
Engineering and Computer Science
Purkyňova 118, 612 00 Brno,
Czech Republic
E-mail: holcik@dbme.fee.vutb.cz
Abstract
This paper deals with description of a model of cardiovascular control based on delayed baroreflex. The model and its structure can be used for explaining basic properties of deterministic chaotic systems such as strange attractor, bifurcation, and sensitivity to initial conditions. The model was implemented in MATLAB and JAVA and it is used in labs of course Biological System Modelling.
FUNDAMENTAL SOLUTION OF FERRORESONANCE PHEOMENA BY EMPLOYING THE CATASTROPHE THEORY
Radek Javora, Vladimír
Blažek
Ústav
elektroenergetiky FEI VUT v Brně
Tel.:
+420-5-4114 9247, Fax: +420-5-4114 9246
e-mail:
Radek.Javora@seznam.cz
Abstract
Ferroresonance oscillations in power systems can appear in lightly loaded power or voltage transformers supplied through long and/or capacitive line. In this paper it will be shown how to use catastrophe theory for better understanding and solving of those phenomena. It will be shown the way how to determine the catastrophic values of important quantities.
MATLAB’S POWER FOR TOOLS OF CHAOS THEORY
Radek Javora, Vladimír Blažek
Ústav
elektroenergetiky FEI VUT v Brně
Purkyňova
118, 612 00 Brno, Czech Republic
Tel.:
+420-5-4114 9247, Fax: +420-5-4114 9246
e-mail:
Radek.Javora@seznam.cz
Abstract
This paper concentrates on MATLAB’s capabilities for employing the chaos theory tools. It will be presented the using of several valuable tools, which can be used for such kinds of analyses.It will be shown an implementation of those tools for resonant power circuit, together with employing Simulink extension and graphical user interface (GUI).
NELINEARITY, DETERMINISTICKÝ CHAOS A KONTINUUM
Josef Jelen
e-mail: jelen@feld.cvut.cz
Abstract
Non-linearities may lead to the phenomenon of deterministic chaos. Its determinism is rooted in real numbers. Axioms for the set theory, which is the base for the theory of real numbers, should be in the field of interest of physicists.
THE APPLICABILITY OF THE INFORMATIONAL ENTROPY PRINCIPLE
Milena Kheilová
Ústav
fyziky
e-mail:
kheilova@dphys.fee.vutbr.cz
Abstract
The purpose of this paper is to review the large applicability of the Maximum Informational Entropy Principle. The nonequilibrium statistical distribution method is described. It is illustrated the important role of this method in generation of the Informational Statistical Thermodynamics. The application of the Maximum Entropy Principle to selforganizing systems is also presented.
THE CRITERIA OF CHAOTIC BEHAVIOUR AND THEIR RELATIONS TO THE TRANSPORT COEFFICIENTS
Milena Kheilová, Marian Štrunc
Ústav fyziky
Telefon: 00-420-5-4114 3207,
3395, Fax: 00-420-5-4114 3133
e-mail: kheilova@dphys.fee.vutbr.cz
Abstract
This paper deals with the connection between the Kolmogorov-Sinai entropy and Lyapunov exponents describing the microscopic dynamics of particle systems, and the quantities characterizing the macroscopic properties of the systems. The problem of identification of Gibbs entropy and coarse–grained information entropy with irreversible thermodynamics entropy is also discussed.
Universality of Lorenz System of Equations
J. Krempaský, P. Kluvánek
Department of Physics, Faculty of Electrical Engineering and Information Technology, Slovak University of Technology, Ilkovièova 3, 812 19 Bratislava, Slovak Republic
Abstract
We demonstrated in our paper that famous Lorenz system of evolutionary equations describing the dynamics of climate systems is applicable in various qualitatively different fields, e. g. in hydrodynamics, climatology, optics, astrophysics, transport phenomena, biology and also in economical systems. It seems therefore, that this system of equations represents some type of universality, especially in the relation to the generation of a chaotic dynamics.
PŘECHODOVÉ DĚJE V NELINEÁRNÍM DYNAMICKÉM SYSTÉMU
Jiří Macur
Fakulta stavební
Telefon: 00-420-5-4114 7249
e-mail:macur.j@fce.vutbr.cz
Abstract
The visualization of behavior of nonlinear dynamical systems is not a trivial problem. Usually only the asymptotic aspects of behavior is concerned in the form of depicted strange attractors or boundary of basins of attraction. But the transient parts of phase portrait can be interesting as well.
MOŽNOSTI VYUŽITÍ FRAKTÁLNÍ ANALÝZY
Nežádal M., Zmeškal O.,
Buchníček M.
Fakulta chemická
Purkyńova 118, 612 00 Brno, Česká republika
e-mail:zmeskal@fch.vutbr.cz
Abstract
Fraktální analýza se jeví jako mocný nástroj pro popis vlastností přírodních sytémů. Autoři tohoto příspěvku vyvinuli komplexní programové vybavení umožňující fraktální analýzu digitalizovaných obrazů - HarFA (Harmonic and Fractal Image Analyser). Tento program provádí fraktální analýzu použitím metody počítání čtverců (box-counting) a jejich modifikací
IRREVERSIBLE THERMODYNAMICS IN CHEMICAL KINETICS
Miloslav Pekař
Brno University of
Technology
Faculty of Chemistry
Institute of Physical and
Applied Chemistry
Phone: 00-420-5-41149330,
Fax: 00-420-5-41211697
e-mail: pekar@fch.vutbr.cz
Abstract
Thermodynamics and kinetics are in chemistry usually regarded as independent disciplines. Modern, irreversible thermodynamics re-veals much closer relationships between chemical thermodynamics and kinetics. This contribution overviews achievements of particu-larly rational thermodynamics in deducing limitations on reaction rates and reaction equations.
SIMPLE STATE MODELS OF DYNAMICAL SYSTEMS OF CLASS C
J. Pospíšil
FEI
VUT Brno,
Purkyňova 118, 612 00 BRNO
Phone:
#420-5-41149-128, Fax: #420-5-41149-244
E-mail: pospisil@urel.fee.vutbr.cz
Abstract
The so-called elementary canonical state models of the third-order piecewise-linear dynamical systems, as the simplest state models qualitatively equivalent to the well known Chua's circuit family, are presented. Their mutual relations using the linear topological conjugacy are demonstrated in order to show in detail that Chua’s equations and their canonical state model equivalents represent various forms of qualitatively equivalent models of third-order dynamical systems belonging to Class C. New geometrical aspects of the corresponding transformations together with examples of typical chaotic attractors in the stereoscopic view give the possibility of a deeper insight into the third-order system dynamics.
DEMONSTRACE DETERMINISTICKÉHO CHAOSU
František Šolc
Ústav automatizace a měřicí
techniky
Telefon: 00-420-5-41212210,
Fax: 00-420-5-41141123
e-mail: solc@dame.fee.vutbr.cz
Abstract
The article describes a simple electromechanical system for demonstration of deterministic chaos. The system consists of mechanical pendulum with rotating suspension point. Angular velocity of the suspension point can be set arbitrarily. The article describes the system and its mathematical model. Results of simulation and real measurements on the system are described as well. The system represents a convenient teaching aid for demonstration of chaotic behaviour of a deterministic system.
INVERSE FRACTAL PROBLEM AND NEW EVOLUTIONARY ALGORITHMS
Zelinka Ivan
Institute of Information
Technologies, Faculty of Technology, Tomas Bata University, Mostní 5139, 760 01 Zlín, Czech
Republic, Phone: +42‑067‑7543218,
E-mail: Zelinka@ft.utb.cz
Abstract
This contribution is focused on so called Inverse Fractal Problem (IFP) and its solving by means of two new evolutionary algorithms – Differential Evolution (DE) which can be classified as an evolutionary algorithm and Self-Organizing Migrating Algorithm (SOMA, classified like memetic algorithm). The principles backing this algorithm are briefly explained here. This contribution discusses SOMA and DE use for the solution of Inverse Fractal Problem (IFP).
ANALYTIC PROGRAMMING BY MEANS OF NEW EVOLUTIONARY ALGORITHMS
Zelinka Ivan
Institute of Information Technologies,
Faculty of Technology, Tomas Bata University, Mostní, 760 01 Zlín, Czech
Republic, Phone: +42-067-754 3218,
E-mail: Zelinka@ft.utb.cz
Abstract
This contribution deals with new and promising method which allow to solve hard problems in analytic (not in numerical as is ussual) way by means of evolutionary algorithms. This idea was first proposed by J.R. Koza in so called Genetic Programming (GP). In this contribution will be shown how this approach can be universally generalized for two new evolutionary algorithms (EAs) – Differential Evolution (DE) which can be classified as an evolutionary algorithm and Self-Organizing Migrating Algorithm (SOMA, classified like memetic algorithm). Some simple demonstrative examples will be done here as well as describing of relations between Hilbert space and functional space, which can be regarded like Eas domain.
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Upraveno 24.10.2001 JiMa