Control of Chaos from a Piecewise Linear Hysteresis Circuit

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 42, Issue 3, 1995, Pages 168-172

  Saito, Toshimichi ^a   Mitsubori, Kunihiko ^a  

^a HOSEI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CHAOS THEORY; FEEDBACK CONTROL; HYSTERESIS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; PIECEWISE LINEAR TECHNIQUES; RESONATORS; ROBUSTNESS (CONTROL SYSTEMS); SEMICONDUCTOR DIODES; SYSTEM STABILITY;

CHAOTIC ATTRACTOR; CIRCUIT EQUATION; DIODE RESONATOR; PIECEWISE LINEAR HYSTERESIS CIRCUIT; UNSTABLE PERIODIC ORBIT;

CIRCUIT THEORY;

EID: 0029263344     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.376872     Document Type: Article

References (20)

1. E. Otto, C. Grebogi, and J. A. Yorke, “Controlling chaos,” Phys. Rev. Lett., vol. 64, no. 11, pp. 1196–1199, 1990.
2. D. Auerbach, C. Grebogi, E. Otto, and J. A. Yorke, “Controlling chaos in high dimensional systems,” Phys. Rev. Lett., vol. 69, no. 24, pp. 3479–3482, 1992.
3. T. Shinbrot, C. Grebogi, E. Otto, and J. Yorke, “Using chaos to target stationally states of flows,” Phys. Lett. A, vol. 169, pp. 349–354, 1992.
4. W. L. Ditto, S. N. Rauseo, and M. L. Spano, “Experimental control of chaos,” Phys. Rev. Lett., vol. 65, no. 26, pp. 3211–3214, 1990.
5. E. R. Hunt, “Stabilizing high-period orbits in a chaotic system: The diode resonator,” Phys. Rev. Lett., vol. 67, no. 15, pp. 1953–1955, 1991.
6. R. Roy and T. W. Murphy, Jr., T. D. Maier, Z. Gills, and E. R. Hunt, “Dynamic control of a chaotic laser: Experimental stabilization of a globally coupled system,” Phys. Rev. Lett., vol. 68, no. 9, pp. 1259–1262, 1994.
7. M. A. Matias and J. Guemes, “Stabilization of chaos by proportional pulses in the system variable,” Phys. Rev. Lett., vol. 72, no. 10, pp. 1455–1458, 1994.
8. K. Pyragas and A. Tamasevicius, “Experimental control of chaos by delayed self-controlling feedback,” Phys. Lett. A, vol. 180, pp. 99–102, 1993.
9. L. O. Chua, M. Komuro, and T. Matsumoto, “The double scroll family,” IEEE Trans. Circuits Syst., vol. CAS-32, no. 11, pp. 1073–1118, 1986.
10. T. Matsumoto, L. O. Chua, and K. Ayaki, “Reality of chaos in the double scroll circuit: A computer-assisted proof,” IEEE Trans. Circuits Syst., vol. 35, no. 7, pp. 909–925, 1988.
11. G. Chen and X. Dong, “Ordering chaos of Chua's circuit,” in Proc. IEEE ISCAS, 1993, pp. 2604-2607.
12. G. Chen and X. Dong, “On feedback control of chaotic continuous-time systems,” IEEE Trans. Circuits Syst. I, vol. 40, pp. 591–601, 1993.
13. M. J. Ogorzalek, “Taming chaos—Part I: Control,” IEEE Trans. Circuits Syst. I, vol. 40, no. 10, pp. 700–706, 1993.
14. M. J. Ogorzalek, “Chaos control techniques: A study using Chua's circuit,” in Nonlinear Dynamics of Electronic Systems. Singapore: World Scientific, 1994, pp. 89-101.
15. A. Labrowski, Z. Galias, M. J. Ogorzalek, and L. O. Chua, “Laboratory environment for controlling chaotic electronic systems,” in ECCTD-Circuit Theory and Design. Amsterdam: Elsevier, 1993, pp. 867-872.
16. M. Hasler, H. Dedieu, J. Schweizer, and M. P. Kennedy, “Synchronization of chaotic signals,” in Nonlinear Dynamics of Electronic Systems. Singapore: World Scientific, 1994, pp. 244-261.
17. M. Hasler, H. Dedieu, M. P. Kennedy, and J. Schweizer, “Secure communication system via Chua's circuit,” in Proc. NOLTA Wkshps, Hawaii, 1993, pp. 87-92.
18. T. Saito, “An approach toward higher dimensional hysteresis chaos generators,” IEEE Trans. Circuits Syst., vol. 37, no. 3, pp. 399–409, 1990.
19. T. Saito and K. Mitsubori, “Hyperchaos and related phenomena from odd-dimensional hysteresis system,” in Nonlinear Dynamics of Electronic Systems. Singapore: World Scientific, 1994, pp. 294-311.
20. L. Y. Li and J. A. Yorke, “Ergodic transformations from an interval into itself,” Trans. Amer. Math. Soc., vol. 235, pp. 183–192, 1978.