Synthesis of electronic circuits for simulating nonlinear dynamics

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 11, Issue 3, 2001, Pages 605-653

  Itoh, Makoto ^a  

^a FUKUOKA INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035611189     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127401002341     Document Type: Article

References (22)

1. Alligood, K. T., Sauer, T. D. & Yorke, J. A. [1996] Chaos: An Introduction to Dynamical Systems (Springer-Verlag, NY).
2. Chua, L. O. [1969] Introduction to Nonlinear Circuit Theory (McGraw Hill, NY).
3. Chua, L. O. [1971] "Memristor - the missing circuit element," IEEE Trans. Circuits Syst. CT-18(5), 507-519.
4. Chua, L. O. [1993] "Global unfolding of Chua's circuit," IEICE Trans. Fundamentals E76-A(5), 704-734.
5. Chua, L. O., Wu, C. W., Zhong, G. Q. & Liu, L. F. [1998] "Synthesizing arbitrary driving-point and transfer characteristics," IEEE Trans. Circuits Syst. I: Fundamental Th. Appl. 45(12), 1225-1232.
6. Elwakil, A. S. & Kennedy, M. P. [2000] "Improved implementation of Chua's chaotic oscillator using current feedback OP amp," IEEE Trans. Circuits Syst. I: Fundamental Th. Appl. 47(1), 76-79.
7. Itoh, M. & Hayashi, S. [1988] "Attractors in an eventually bounded circuit," Trans. IEICE E71(8), 750-758.
8. Itoh, M., Murakami, H. & Chua, L. O. [1993] "Communication systems via chaotic modulations," IEICE Trans. Fundamentals E-77A(6), 1000-1006.
9. Itoh, M., Murakami, H. & Chua, L. O. [1994a] "Experimental control of chaos in Chua's circuit via tunnels," Int. J. Bifurcation and Chaos 4(3), 1741-1750.
10. Itoh, M., Murakami, H. & Chua, L. O. [1994b] "Experimental study of forced Chua's oscillators," Int. J. Bifurcation and Chaos 4(6), 1721-1742.
11. Itoh, M. & Murakami, H. [1995] "New communication systems via chaotic synchronizations and modulations," IEICE Trans. Fundamentals E-78A(3), 285-290.
12. Itoh, M. [1997] "Synthesis of topologically conjugate chaotic nonlinear circuits," Int. J. Bifurcation and Chaos 9(1), 155-213.
13. Itoh, M., Wu, C. W. & Chua, L. O. [1997] "Communication systems via chaotic signals from a reconstruction viewpoint," Int. J. Bifurcation and Chaos 7(2), 275-286.
14. Itoh, M., Yang, T. & Chua, L. O. [1999] "Experimental study of impulsive synchronization of chaotic and hyperchaotic circuits," Int. J. Bifurcation and Chaos 9(7), 1393-1424.
15. Kennedy, M. P. [1992] "Robust OP amp realization of Chua's circuit," Frequent 46, 66-80.
16. Madan, R. [1993] Chua's Circuit: A Paradigm for Chaos (World Scientific, Singapore).
17. Matsumoto, T., Chua, L. O. & Komuro, M. [1985] "The double scroll," IEEE Trans. Circuits Syst. CAS-32(8), 797-818.
18. Matsumoto, T., Chua, L. O. & Kobayashi, K. [1986] "Hyperchaos: Laboratory experiment and numerical confirmation," IEEE Trans. Circuits Syst. CAS-33(11), 1143-1147.
19. Pospíšil, J. & Kolka, Z. [2000] "Simplest ODE equivalents of Chua's equations," Int. J. Bifurcation and Chaos 10(1), 1-23.
20. Takens, F. [1981] "Detecting strange attractors in turbulence," in Lecture Note in Mathematics 898 (Springer-Verlag, Berlin), pp. 366-381.
21. Wu, C. W. & Chua, L. O. [1997] "On the generality of the unfolded Chua's circuit," Int. J. Bifurcation and Chaos 6(5), 801-832.
22. Zhong, G. Q. [1994] "Implementation of Chua's circuit with a cubic nonlinearity," IEEE Trans. Circuits Syst. I: Fundamental Th. Appl. 41(12), 934-941.