Přístupnostní navigace
E-application
Search Search Close
Project detail
Duration: 31.03.2003 — 31.12.2006
Funding resources
Czech Science Foundation - Standardní projekty
- whole funder (2003-03-19 - not assigned)
On the project
Navrhovaný projekt navazuje na původní výsledky předcházející projekt GAČR reg. č. 102/99/0203 "Ne-konvenční metody modelování chaotických jevů v nelineárních soustavách" úspěšně řešený v období (1999 -2001) a hodnocený jako vynikající, do jisté míry pak souvisí i se současným projektem GAČR reg. č. 102/ 01/0229 "Návrh a aplikace nových stavových modelů dynamických soustav", u něhož probíhá závěrečná fáze řešení. Podstatou projektu je hledání nových stavových modelů nelineárních dynamických soustav a jejich optimalizace podle nejrůznějších hledisek, zejména pak minimalizace jejich citlivostních vlastností, což je rozhodující právě pro modelování zvláštních jevů v těchto soustavách (bifurkace, chaos, synchroni-zovaný chaos, ap.). Tyto modely jsou užitečné pro numerickou simulaci jejich dynamického chování, ale i jako prototypy pro jejich realizaci ve formě jednoduchých elektronických obvodů, např chaotické či hyper-chaotické oscilátory. Pro všestrannou analýzu budou dále rozvíjeny algoritmy pro symbolické řešení těchto struktur v kmitočtové oblasti, paralelně s tím však budou zkoumány chaotické a pseudochaotické signály také v časové oblasti a hledány cesty jejich jednoduchého a systematického generování. Aplikace moder-ních metod nerovnovážné termodynamiky umožní obecnější pohled na zkoumanou problematiku i z hledis-ka tzv. synergetiky. Vybrané modely budou realizovány jako analogové obvody s číslicovým nastavováním jednotlivých parametrů a experimentálně ověřeny. Přístrojovým základem výzkumu v této oblasti je teore-ticko-experimentální pracoviště umožňující simulaci teoretických modelù i jejich experimentální ověření.
Description in EnglishThe proposed project is related to original results of the previous project GACR No. 102/99/0203 "Noncon-ventional methods of modeling of chaotic phenomena in nonlinear systems" sucsessfully solved in period (1999-2001) and evaluated as excellent. It is also particularly related to the present project GACR No. 102/ 01/0229 "Design and application of new state models of dynamical systems", the last period of which is just going. The fundamental problem of the project is finding of new state models of nonlinear dynamical sys-tems and their optimization under various viewpoints, namely the minimization of their sensitivity proper-ties, which is important just for modelling of special phenomena (chaos, synchronized chaos, etc.). These models are useful for numerical simulation of their dynamical behavior but also as prototypes for their realization in the form of simple electronic circuits (chaotic or hyperchaotic oscillators). For the complete symbolical analysis the new algorithms will be developed in frequency domain but simultaneously the chaotic and pseudochaotic signals in time domain will be analyzed to find their simple and systematic generation. Application of modern thermodynamics methods will give the possibility more general view into the problems in terms of synergetics The selected models will be realized using analog electronic circuits with digital seting of their parameters and experimentally verified. The experimental laboratory represent the instrumental base for the complete research in this area.
Keywordsnelineární, dynamický, systém, model, chaos
Key words in Englishnonlinear, dynamical, system, model, chaos
Mark
GA102/04/0469
Default language
Czech
People responsible
Hanus Stanislav, prof. Ing., CSc. - principal person responsible
Units
Department of Radio Electronics- beneficiary (2003-03-19 - not assigned)
Results
ŠEBESTA, V. Weak Traps of the Quantised Chaotic Map. In Telecommunications and Signal Processing TSP 2004. Brno: BUT, Department of Telecommunications, 2004. p. 133 ( p.)ISBN: 80-214-2684-5.Detail
Pospíšil Jiří, Hanus Stanislav, Brzobohatý Jaromír, Šebesta Vladimír, Kolka Zdeněk, Dostál Tomáš. Modelování zvláštních jevů v nelineárních dynamických soustavách. Brno: 2006. s. 1 ( s.)Detail
KOLKA, Z., HORÁK, M. Symbolic Approximation of Poles and Zeros. In Proc. of Electronic Devices and Systems Conference (EDS 2004). Brno: Brno Univ. of Tech., 2004. p. 30 ( p.)ISBN: 80-214-2701-9.Detail
KOLKA, Z.; POSPÍŠIL, V.; HORÁK, M. A Tool for Symbolic Analysis. In Proc. of International Conference on Signals and Electronic Systems (ICSES04). Poznan, Poland: Poznan Univ. of Techn., 2004. p. 175 ( p.)ISBN: 83-906074-7-6.Detail
KOLKA, Z.; POSPÍŠIL, V.; HORÁK, M. Program for Symbolic Analysis. In In: Proc. of 11th International Conference on Mixed Design of Integrated Circuits and Systems. Szczecin, Poland: TU Lodz, 2004. p. 666 ( p.)ISBN: 83-919289-7-7.Detail
POSPÍŠIL, J., KOLKA, Z., HANUS, S., BRZOBOHATÝ, J., DOSTÁL, T. Equivalent RLC Circuits of the Second-Order Dynamical. Systems with PWL Controlled Sources. In Proc. of the IASTED International Conference Modelling, Identification and Control (MIC'2004). Gründelwald: IASTED, 2004. p. 212 ( p.)ISBN: 0-88986-387-3.Detail
POSPÍŠIL, J., KOLKA, Z., HANUS, S., MICHÁLEK, V., POSPÍŠIL, V., BRZOBOHATÝ, J. Fully-Generalized State Model of Optimized Third-Order Dynamical Systems of Class C. In Proc. of 8th WSEAS Int. Conf. on Circuits (CSCC 2004). Athens, Greece: WSEAS Press, 2004. p. 319 ( p.)ISBN: 960-8052-99-8.Detail
POSPÍŠIL, J., KOLKA, Z., HANUS, S., PETRŽELA, J. Generalized State Model of Dynamical System with Low Sensitivity Measure. In Proc. of the 14th Czech-Slovak Conf. RADIOELEKTRONIKA 2004. Bratislava: FEI STU Bratislava, 2004. p. 9 ( p.)ISBN: 80-227-2017-8.Detail
BRZOBOHATÝ, J., POSPÍŠIL, J., KOLKA, Z., HANUS, S., MICHÁLEK, V. General State Model of Optimized Third-order Dynamical Systems of Class C. In In Proc. of the EDS’04. Brno: FEKT VUT v Brně, 2004. p. 8 ( p.)ISBN: 80-214-2701-9.Detail
BRZOBOHATÝ, J., POSPÍŠIL, J., KOLKA, Z., HANUS, S., MICHÁLEK, V., PETRŽELA, J. Optimized Third-order Dynamical Systems of Class C and Their State Models for Different Types of Eigenvalues. In Proc. of Telecommunication and Signal Processing TSP-2004. Brno: FEKT VUT v Brně, 2004. p. 87 ( p.)ISBN: 80-214-2684-5.Detail
POSPÍŠIL, J., KOLKA, Z., HANUS, S., PETRŽELA, J., BRZOBOHATÝ, J. Active RC Equivalent Structure of the Optimized Second-order PWL Dynamical System. In 3rd WSEAS Int. Conf. on Non-Linear Analysis, Non-Linear Systems and Chaos (NOLASC 2004). Athens, Greece: WSEAS Press, 2004. p. 189 ( p.)Detail
ŠEBESTA, V. Weak Traps and Pseudo-Chaos. In RADIOELEKTRONIKA 2004, Conference proceedings. Bratislava, Slovenská Republika: Slovak University of Technology in Bratislava, 2004. p. 24 ( p.)ISBN: 80-227-2017-8.Detail
PETRŽELA, J. Circuitry Realization of the Autonomous Equilibriumless Hyperchaos Generator. In Proceedings of the 8th student conference POSTER 2004. Praha: CVUT Praha, 2004. p. 1 ( p.)Detail
POSPÍŠIL, V. Vector Fields for Piecewise-Linear System. In Proceedings of the 10th conference STUDENT EEICT 2004 Volume 3. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií, 2004. p. 428 ( p.)ISBN: 80-214-2636-5.Detail
POSPÍŠIL, V., KOLKA, Z. Piecewise-Linear Vector Fields. In 14th International Czech - Slovak Scientific Conference RADIOELEKTRONIKA 2004. Bratislava: STU Bratislava, 2004. p. 1 ( p.)ISBN: 80-227-2017-8.Detail
Vladimír Šebesta. Integer-Number Maps. In Radioelektronika 2005, Conference proceedings. Brno: 2005. p. 37 ( p.)ISBN: 80-214-2904.Detail
Martin Horák, Zdeněk Kolka. Simplification before generation using sparse matrices. In Proceedings of Electronic Devices and Systems IMAPS CS International Conference 2005. Brno, Czech republic: VUT v Brně, 2005. p. 25 ( p.)ISBN: 80-214-2990-9.Detail
Martin Horák, Zdeněk Kolka. Topological simplification using sparse matrices and Sherman-Morrison formula. In Proceedings of the fourteenth International Electrotechnical and Computer Science Conference ERK 2005. Proceedings of the 15th International Electrotechnical and Computer Science Conference ERK 2006. Portorož, Slovinsko: Somaru, Ljubljana, 2005. p. 36 ( p.)ISSN: 1581-4572.Detail
Šebesta V. Tuning Natural-Number Map. In Telecommunications and Signal Processing TSP - 2005. BUT Brno, 2005. p. 66 ( p.)ISBN: 80-214-2972-0.Detail
POSPÍŠIL, J.–KOLKA, Z.–BRZOBOHATÝ, J.–HANUS, S.–PETRŽELA, J. Optimized Second-order PWL Dynamical System and Its Active RC Equivalent Circuit Model. In Proc. of Radioelektronika’2005. Brno: Brno University of Technology, 2005. p. 25 ( p.)ISBN: 80-214-2904-6.Detail
POSPISIL J., KOLKA Z., BRZOBOHATY J., HANUS S., PETRZELA J., DOSTAL T. Active RC circuit model of the optimized second-order PWL dynamical systém. In Proceedings of the 24th IASTED international conference MODELLING, IDENTIFICATION AND CONTROL – MIC 05. Calgary: Acta Press, 2005. p. 504 ( p.)ISBN: 0-88986-474-8.Detail
POSPÍŠIL, J.–KOLKA, Z.–HANUS, S.– POSPÍŠIL, V. Relation Between Canonical and Optimized State Models of PWL Dynamical System Belonging to Class C. In Proc. of 9th WSEAS International Conference on SYSTEMS (ICS 2005). Greece: World Scientific and Engineering Academy and Society, 2005. p. 764 ( p.)ISBN: 960-8457-29-7.Detail
POSPÍŠIL J., DOSTAL T., HANUS S. Third-order Autonomous PWL System in Current Mode. In Proceedings of the 14-th International Electrotechnical and Computer Science Conference ERK 2005. Portorož: IEEE Slovenia section, 2005. p. 63 ( p.)ISBN: 1581-4572.Detail
PETRŽELA, J., HANUS, S. Dynamical Systems of Class C: Searching for the Most Robust Practical Implementation of the Chaotic Oscillator. In Proceedings of the 4th International Conference on System Science and Simulation in Engineering ICOSSSE. Tenerife, Spanelsko: WSEAS 2005, 2005. p. 117-122. ISBN: 960-8457-39-4.Detail
PETRŽELA, J. Experimental observations of strange attractors in the modified Lorenz system. In Proc. of the 16th International Czech-Slovak Scientific Conference. Bratislava: STU FEI, 2006. p. 17-20. ISBN: 80-227-2388-6.Detail
PETRŽELA, J., LANGER, T. Nonlinear oscillator implementation using CFOAs. In 15th International Elektrotechnical and Computer Science Conference ERK 2006. Proceedings of the 15th International Electrotechnical and Computer Science Conference ERK 2006. Portorož: IEEE Slovenian Section, ISSN 1581-4572, 2006. p. 53 ( p.)ISSN: 1581-4572.Detail
PETRŽELA, J., HANUS, S., LANGER, T. Searching for chaos in the dynamical systems using genetic algorithm. Proceedings of the 15th International Electrotechnical and Computer Science Conference ERK 2006, 2006, vol. 15, no. 1, p. 246-249. ISSN: 1581-4572.Detail
BRZOBOHATÝ, J. - MUSIL, V. New generalized realizations for linear network transformations. In Socrates Workshop 2005. Proceedings. Brno: Nakl. Novotný, 2005. p. 92 ( p.)ISBN: 80-214-3042-7.Detail
BRZOBOHATÝ, J. - MUSIL, V. Scattering model of a controlled gyrator realized by current amplifiers. In Socrates Workshop 2005. Proceedings. Brno: Nakl. Novotný, 2005. p. 98 ( p.)ISBN: 80-214-3042-7.Detail
BRZOBOHATÝ, J. - BRICH,T. Chaotic behaviour of sigma-delta modulators. In Socrates Workshop. Proceedings. Brno: Nakl. Novotný, 2005. p. 102 ( p.)ISBN: 80-214-3042-7.Detail
BRZOBOHATÝ, J. - MRICH, T. Chaotic behaviour of cellular neural networks. In Socrates Workshop. Proceedings. Brno: Nakl. Novotný, 2005. p. 112 ( p.)ISBN: 80-214-3042-7.Detail
PETRŽELA, J., HANUS, S. Universal Structure of RC Oscillator and the Chaos Generation. In Proceedings of the 5th International Conference ICOSSE 2006. Puerto de La Cruz (Španělsko): WSEAS, 2006. p. 100-104. ISBN: 960-8457-57-2.Detail
PETRŽELA, J. Obvodová realizace konzervativního chaotického oscilátoru. Elektrorevue - Internetový časopis (http://www.elektrorevue.cz), 2004, roč. 6, č. 1, s. 1 ( s.)ISSN: 1213-1539.Detail
PETRŽELA, J., POSPÍŠIL, V. Nonlinear Resistor with Polynomial AV Characteristics and Its Application in Chaotic Oscillator. Radioengineering, 2004, vol. 13, no. 2, p. 20-25. ISSN: 1210-2512.Detail
POSPÍŠIL, J.–KOLKA, Z.–HANUS, S.– POSPÍŠIL, V. Optimized State Models of PWL Dynamical Systems and their Relation to Canonical Models of Class C. WSEAS Transactions on Systems, 2005, vol. 4, no. 6, p. 691 ( p.)ISSN: 1109-2777.Detail
BARTONĚK, D. A GENETIC ALGORITHM HOW TO SOLVE A PUZZLE AND ITS USING IN CARTOGRAPHY. ACTA SCUENTIARUM POLONORUM, 2005, vol. 2005, no. 4 (2), p. 15-23. ISSN: 1644-0668.Detail
PETRŽELA, J., HANUS, S. Universal Structure of RC Oscillator and the Chaos Generation. WSEAS Transactions on Circuits, 2006, vol. 6, no. 1, p. 132-136. ISSN: 1109-2734.Detail
KOLKA, Z., BIOLKOVÁ, V., BIOLEK, D. Exploiting Matrix Sparsity for Symbolic Analysis. WSEAS Transactions on Circuits, 2004, vol. 3, no. 10, p. 2278 ( p.)ISSN: 1109-2734.Detail
POSPÍŠIL, J., KOLKA, Z., HANUS, S., MICHÁLEK, V., POSPÍŠIL, V., BRZOBOHATÝ, J. Fully-Generalized State Model of Optimized Third-Order Dynamical Systems of Class C. WSEAS Transactions on Systems, 2004, vol. 3, no. 5, p. 2021 ( p.)ISSN: 1109-2777.Detail
POSPÍŠIL, J., KOLKA, Z., HANUS, S., PETRŽELA, J., BRZOBOHATÝ, J. Optimized Second-Order Dynamical Systems and Their RLC Circuit Models with PWL Controlled Sources. Radioengineering, 2004, vol. 13, no. 3, p. 13 ( p.)ISSN: 1210-2512.Detail
PETRŽELA, J., POSPÍŠIL, V., HANUS, S. On the Design of Robust Chaotic Oscillator. WSEAS Transactions on Circuits, 2005, vol. 5, no. 1, p. 32-38. ISSN: 1109-2734.Detail
PETRŽELA, J., HANUS, S., KOLKA, Z. Simple Chaotic Oscillator: From Mathematical Model to Practical Experiment. Radioengineering, 2006, vol. 15, no. 1, p. 6-11. ISSN: 1210-2512.Detail
DOSTÁL, T., POSPÍŠIL, J., MICHÁLEK, V., HANUS, S. Current Mode State Models of Third-Order Dynamical Systems. In Mastorakis, N. E.: Computational Methods in Circuits and Systems Applications. Electrical and Computer Engineering Series - WSEAS. Athens: WSEAS Press, 2003. p. 243 ( p.)ISBN: 960-8052-88-2.Detail
DOSTÁL, T., POSPÍŠIL, J., HANUS, S., MICHÁLEK, V. Current mode state models of third-order dynamical systems. In COMPUTATIONAL METHODS IN CIRCUITS AND SYSTEMS APPLICATIONS. Řecko: WSEAS Press, 2004. p. 243 ( p.)ISBN: 960-8052-882.Detail
POSPÍŠIL, J. Modelování zvláštních jevů v nelineárních dynamických soustavách. Dílčí výzkumná zpráva grantového projektu GAČR 102/04/0469. Brno: FEKT VUT v Brně, 2004. s. 1 ( s.)Detail
Hanus, S. a kolektiv. Modelování zvláštních jevů v nelineárních dynamických soustavách. Brno: 2005. s. 1 ( s.)Detail
KHEILOVÁ, M. The Nonextensive Statistical Mechanics Revisited. In New Trends in Physics. Brno: Ing. Zdeněk Novotný, CSc., Ondáčkova 105, Brno, 2004. p. 122 ( p.)ISBN: 80-7355-024-5.Detail