Multi-input and multi-output nonlinear systems: Interconnected Chua's circuits

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 9, 2004, Pages 3065-3081

  Duan, Zhisheng ^a   Wang, Jinzhi ^a   Huang, Lin ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Chua's circuit; Coupled Chua's circuit; Dichotomy; Interconnection

Indexed keywords

COMPUTER SIMULATION; FREQUENCY DOMAIN ANALYSIS; HARMONIC ANALYSIS; LAGRANGE MULTIPLIERS; LARGE SCALE SYSTEMS; MATRIX ALGEBRA; NETWORKS (CIRCUITS);

CHUA'S CIRCUIT; COUPLED CHUA'S CIRCUIT; DICHOTOMY;

NONLINEAR SYSTEMS;

EID: 10444241047     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404011168     Document Type: Article

References (19)

1. Anderson, B. D. O. [1967] "A system theory criterion for positive real matrices," SIAM J. Contr. Optimiz. 5, 171-192.
2. Basso, M., Genesio, R. & Tesi, A. [1996] "Frequency domain methods and control of complex dymamics," Proc. 37th IEEE CDC, Tampa, Florida, USA.
3. Chen, G. & Dong, X. [1998] From Chaos to Order: Methodologies, Perspectives and Applications (World Scientific, Singapore).
4. Chua, L. O., Komuro, M. & Matsumoto, T. [1986] "The double scroll family, Part I and II," IEEE Trans. Circuits Syst. 33, 1073-1118.
5. Chua, L. O. [1994] "Chua's circuit: 10 years later," Int. J. Circuits Th. Appl. 22, 279-306.
6. Huang, L. [2003] Fundamental Theory of Stability and Robustness (Scientific Publishing House, Beijing) (in Chinese).
7. Imai, T., Konishi, K., Kokame, H. & Hirata, K. [2002] "An experimental suppression of spatial instability in one-way open coupled Chua's circuits," Int. J. Bifurcation and Chaos 12, 2897-2905.
8. Jorge, L. & Chua, L. O. [1999] "Hopf bifurcation and degeneracies in Chua's circuit - A perspective from a frequency domain approach," Int. J. Bifurcation and Chaos 9, 295-303.
9. Kapitaniak, T., Chua, L. O. & Zhong, G. Q. [1994] "Experimental hyperchaos in coupled Chua's circuits," IEEE Trans. Circuits Syst.-141, 499-503.
10. Leonov, G. A., Ponomarenko, D. V. & Sminova, V. B. [1996a] Frequency-Domain Method for Nonlinear Analysis: Theory and Applications (World Scientific, Singapore).
11. Leonov, G. A. & Sminova, V. B. [1996b] "Stability and oscillations of solutions of integro-differential equations of pendulum-like systems," Math. Nachr. 177, 157-180.
12. Moiola, J. L. & Chen, G. R. [1996] Hopf Bifuration Analysis: A Frequency-Domain Method (World Scientific, Singapore).
13. Popov, V. M. [1973] Hyperstability of Automatic Control Systems (Springer-Verlag, NY).
14. Rantzer, A. [1996] "On the Kalman-Yakubovich-Popov lemma," Syst. Contr. Lett. 28, 7-10.
15. Shil'nikov, L. P. [1993] "Chua's circuits: Rigorous results and future problems," IEEE Trans. Circuits Syst.-I 40, 784-786.
16. Siljak, D. D. [1978] Large-Scale Dymamic Systems (North-Holland, NY).
17. Suykens, J. A. K., Curran, P. F., Vandewalle, J. & Chua, L. O. [1997a] "Robust nonlinear H∞ synchronization of chaotic Lur'e systems," IEEE Trans. Circuits Syst.-I 44, 891-904.
18. Suykens, J. A. K. & Vandewalle, J. [1997b] "Nonlinear H∞ synchronization of chaotic Lur'e system," Int. J. Bifurcation and Chaos 7, 1323-1335.
19. Suykens, J. A. K., Yang, T. & Chua, L. O. [1998] "Impulsive synchronization of chaotic Lur'e systems by measurement feedback," Int. J. Bifurcation and Chaos 8, 1371-1381.