Modeling deterministic chaos using electronic circuits

Radioengineering

Volumn 20, Issue 2, 2011, Pages 438-444

  Petržela, Jiř ^a   Hruboš, Zdeněk ^a   Gotthans, Tomáš ^a  

^a BRNO UNIVERSITY OF TECHNOLOGY   (Czech Republic)

Author keywords

Analog oscillator; Autonomous system; Chaos; Dynamical motion; State attractor

Indexed keywords

EID: 79959649610     PISSN: 12102512     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. LI, Z., SOH, J., WEN, CH. Switched and Impulsive Systems. Berlin: Springer, 2005.
2. GALAJDA, P., KOCUR, D. Chua's circuit in spread spectrum communication systems. Radioengineering, 2002, vol. 11, no. 2, p. 6 - 10.
3. ADDABBO, T., FORT, A., ROCCHI, S., VIGNOLI, V. Intelligent Computing Based on Chaos. Berlin: Springer, 2009.
4. GRYGIEL, K., SZLACHETKA, P. Lyapunov exponents analysis of autonomous and nonautonomous set of ordinary differential equations. Acta Physica Polonica B, 1995, vol. 26, no. 8, p. 1321 to 1331.
5. PETRŽELA, J. Modeling of the Strange Behavior in the Selected Nonlinear Dynamical Systems, Part II: Analysis. Brno: Vutium Press, 2010.
6. CHEN, G., UETA, T. Chaos in Circuits and Systems. London: World Scientific, 2002.
7. PETRŽELA, J., HANUS, S., KOLKA, Z. Simple chaotic oscillator: from mathematical model to practical experiment. Radioengineering, 2006, vol. 15, no. 1, p. 6 - 11.
8. SPROTT, J. C. Chaos and Time-Series Analysis. Oxford University Press, 2003.
9. CAMINITI, R., GHAZIRI, H., GALUSKE, R., HOF, P. R., INNOCENTI, G. M. Evolution amplified processing with temporally dispersed slow neuronal connectivity in primates. Proceedings of the National Academy of Sciences, 2009, vol. 106, no. 46, p. 19551 - 19556.
10. WYK, M. A., STEEB, W. H. Chaos in Electronics. Kluwer Academic Publishers, 1997.
11. ITOH, M. Synthesis of electronic circuits for simulating nonlinear dynamics. International Journal of Bifurcation and Chaos, 2001, vol. 11, no. 3, p. 605 - 53.
12. ČAJKA, J., DOSTÁL, T., VRBA, K. General view on current conveyors. International Journal of Circuit Theory and Applications, 2004, vol. 32, no. 3, p. 133 - 138.
13. Current Mode Multiplier EL2082 Datasheet, Elantec, 1996
14. PETRŽELA, J., SLEZÁK, J. Conservative chaos generators with CCII+ based on the mathematical model of nonlinear oscillator. Radioengineering, 2008, vol. 17, no. 3, p. 19 - 24.
15. LU, J., YU, S., LEUNG, H., CHEN, G. Experimental verification of multidirectional multi-scroll chaotic attractors. IEEE Transaction on Circuit and Systems I, 2006, vol. 53, no. 1, p. 149 - 165.
16. High Speed Monolithic Operational Amplifier AD844 Datasheet, Analog Devices, 2003
17. PETRŽELA, J. Integrator-based synthesis of the selected chaotic oscillators. Slaboproudý obzor, 2009, vol. 4, no. 3, p. 9 - 12 (in Czech).
18. Low Cost Analog Multiplier AD633 Datasheet, Analog Devices, 2002
19. SPROTT, J. C. Simple chaotic systems and circuits. American Journal Physics, 2000, vol. 68, no. 8, p. 758 - 763.
20. PETRŽELA, J. Modeling of the Strange Behavior in the Selected Nonlinear Dynamical Systems, Part I: Oscillators. Brno: Vutium Press, 2008.
21. ŠPÁNY, V., GALAJDA, P., GUZAN, M., PIVKA, L., OLEJÁR, M. Chua's singularities: great miracle in circuit theory. International Journal of Bifurcation and Chaos, 2010, vol. 20, no. 10, p. 2993 - 3006.