Contribution to problem of chaos control in the dynamics systems

• Autorzy: Kratochvil C , Heriban Ρ , Sveda Ρ.
• Konferencja: International Seminar of Applied Mechanics (13 ; 29-31.05.2009 ; Szczyrk, Polska)
• Języki publikacji: EN

Abstrakty

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

Słowa kluczowe

EN

chaos; dynamics system; nonlinear system

PL

chaos; system dynamiczny; system nieliniowy

• Wydawca: Wydawnictwo Katedry Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Modelling and Optimization of Physical Systems
• Rocznik: 2009
• Tom: z. 8
• Strony: 77--80
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Kratochvil C

• Institute of Solid Mechanics, Mechatronics and Biomechanics, Faculty of Mechanical Engineering, Brno University of Technology, Technická 2, 616 69 Brno, tel. [phone], fax. [phone]

autor

Heriban Ρ

• Institute of Solid Mechanics, Mechatronics and Biomechanics, Faculty of Mechanical Engineering, Brno University of Technology, Technická 2, 616 69 Brno, tel. [phone], fax. [phone]

autor

Sveda Ρ.

• Institute of Solid Mechanics, Mechatronics and Biomechanics, Faculty of Mechanical Engineering, Brno University of Technology, Technická 2, 616 69 Brno, tel. [phone], fax. [phone]

Bibliografia

• 1. Andrievskii, B.R.; Fradkov, A.L.: Control of Chaos: Methods and Applications. II. Appli¬cations. Automation and Remote Control, 65 (4), pp. 505-533, 2004.
• 2. Calvo, O.: Fuzzy Control of Chaos, in book Integration of Fuzzy Logic and Chaos Tudory, pp. 99-125, Springer-Verlag, Berlin, 2006.
• 3. Paskota, M: On Modelling and the Control of Vibroformers in Aluminium Production. Chaos, Solitons, Fractals, 9, pp. 323-325, 1998.
• 4. Kapitaniak, T.: Controlling Chaos: Theoretical and Practical Methods in Non-Linear Dynamics. Academie Press, New York, 1996.
• 5. Castillo, O; Melin Ρ.: Theory of Fuzzy Chaos for the Simulation and Control of Nonlinear Dynamics Systems. Studies in Fuzziness and Soft Computing, 187, pp. 391-414, 1996.
• 6. Ott, E.; Grebogi, C', Yorke, J.A.: Controlling Chaos. Physical Review Letters, 64, pp. 1196-1199, 1990.
• 7. Pyragas, K.: Continuous control of chaos by self-controlling feedback. Physical Letters A, 170, pp. 421^128, 1992.
• 8. Kocarev, L.; Kapitaniak, T.: On an equivalence of chaotic attractors. Journal ofPhysics A: Mathematical and General, 28, pp. L249-L254, 1995.