On the generation of higher order chaotic oscillators via passive coupling of two identical or nonidentical sinusoidal oscillators

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 53, Issue 7, 2006, Pages 1521-1532

  Elwakil, Ahmed S ^a   Özoǧuz, Serdar ^b  

^a UNIVERSITY OF SHARJAH   (United Arab Emirates)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Chaos; Chaotic oscillators; Coupled oscillators; Hyperchaos

Indexed keywords

CHAOS THEORY; COUPLED CIRCUITS; NONLINEAR CONTROL SYSTEMS; SEMICONDUCTOR DIODES;

CHAOTIC OSCILLATORS; COUPLED OSCILLATORS; HYPERCHAOS; SINUSOIDAL OSCILLATORS;

CIRCUIT OSCILLATIONS;

EID: 33746086334     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2006.875918     Document Type: Article

References (14)

1. M. E. Yalcin, J. A. Suykens, and J. Vandewalle, "True random bit generation from a double-scroll attractor," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 7, pp. 1395-1404, Jul. 2004.
2. S. Özoǧuz, Ö. Ateş, and A. S. Elwakil, "An integrated circuit chaotic oscillator and its application for high speed random bit generation," in Proc. Int. Symp. Circuits Syst. (ISCAS'05), Kobe, Japan, 2005, pp. 4345-4348.
3. A. S. Elwakil and M. P. Kennedy, "Construction of classes of circuit-independent chaotic oscillators using passive-only nonlinear devices," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 3, pp. 289-307, Mar. 2001.
4. T. Matsumoto, L. O. Chua, and K. Kobayashi, "Hyperchaos laboratory experiment and numerical confirmation," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. CAS-33, no. 11, pp. 1143-1147, Nov. 1986.
5. Y. Hosokawa, Y. Nishio, and A. Ushida, "RC transistor chaotic circuit using phase-shift oscillators," in Proc. Int. Symp. Nonlinear Theory Its Appl. (NOLTA'98), Geneve, Switzerland, 1998, pp. 603-606.
6. A. Tamaşevicius, "Hyperchaotic circuits: State of the art," in Proc. 5th Int. Specialist Workshop on Nonlinear Dynamics of Electronic Systems (NDES'97), Moscow, Russia, 1997, pp. 97-102.
7. A. Tamaşevicius, A. Cenys, G. Mykolaitis, A. Namajunas, and E. Lindberg, "Hyperchaotic oscillator with gyrators," Electron. Lett., vol. 37, pp. 542-544, 1997.
8. A. S. Elwakil and M. P. Kennedy, "Inductorless hyperchaos generator," Microelectron. J., vol. 30, pp. 739-743, 1999.
9. P. Ashwin and G. Dangelmayr, "On globally coupled weakly dissipative and strongly nonlinear oscillators," Dynamical Syst., vol. 20, pp. 333-367, 2005.
10. P. Ashwin, "Weak coupling of strongly nonlinear, weakly dissipative, identical oscillators," Dynamics Stability Syst., vol. 10, pp. 203-216, 1995.
11. A. S. Elwakil and M. P. Kennedy, "Generic RC realizations of Chua's circuit," Int. J. Bifurc. Chaos, vol. 10, pp. 1981-1985, 2000.
12. S. Özoǧuz and A. S. Elwakil, "On the realization of circuit-independent nonautonomous pulse-excited chaotic oscillator circuits," IEEE Trans. Circuits Syst. II, Expr. Briefs, vol. 51, no. 10, pp. 552-556, Oct. 2004.
13. A. Wolf, J. Swift, H. Swinney, and J. Vastano, "Determining Lyapunov exponents from a time series," Phys. D, vol. 16, pp. 285-317, 1985.
14. R. Senani, "State variable synthesis of single resistance controlled grounded capacitor oscillators using only two CFOAs," in Proc. IEE Circuits Devices Syst., 1998, vol. 145, pp. 135-138.