Hyperchaos from two coupled Wien-bridge oscillators

International Journal of Circuit Theory and Applications

Volumn 36, Issue 1, 2008, Pages 19-29

  Li, Qingdu ^a,b   Yang, Xiao Song ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CHONGQING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Chaos; Hyperchaos; Nonlinear oscillators; RC circuits; Topological horseshoe

Indexed keywords

CHAOS THEORY; CIRCUIT THEORY; NUMERICAL METHODS; PROBLEM SOLVING; RESISTORS;

HYPERCHAOS; NONLINEAR OSCILLATORS; RC CIRCUITS; TOPOLOGICAL HORSESHOE;

OSCILLATORS (ELECTRONIC);

EID: 39049156339     PISSN: 00989886     EISSN: 1097007X     Source Type: Journal    
DOI: 10.1002/cta.400     Document Type: Article

References (23)

1. Matsumoto T, Chua LO, Kobayashi K. Hyperchaos: laboratory experiment and numerical confirmation. IEEE Transactions on Circuits and Systems 1986; 33(11): 1143-1147.
2. Saito T. An approach toward higher dimensional hysteresis chaos generators. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 1990; 37(3):399-409.
3. Tomasz K, Chua LO, Zhong G-Q. Experimental hyperchaos in coupled Chua's circuits. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 1994; 41(7):499-503.
4. Tamaševičius A, Namajūnas A, Čenys A. Simple 4D chaotic oscillator. Electronics Letters 1996; 32(11):957-958.
5. Mykolaitis G. Temperature-stable hyperchaotic oscillator. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 1998; 45(11):1198-1200.
6. Tamaševičius A et al. Hyperchaotic oscillator with gyrators. Electronics Letters 1997; 33(7):542-544.
7. Tsubone T, Saito T. Hyperchaos from a 4-D manifold piecewise-linear system. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 1998; 45(9):889-894.
8. Suzuki T, Saito T On fundamental bifurcations from a hysteresis hyperchaos generator. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 1994; 41(12):876-884.
9. Grassi G, Mascolo S. A system theory approach for designing cryptosystems based on hyperchaos. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 1999; 46(9): 1135.
10. Zhang Y, Dai M et al. Hyperchaotic synchronization scheme for digital speech communication. Electronics Letters 1999; 35(24):2087-2089.
11. Arena P, Baglio S, Fortuna L, Manganaro G. Hyperchaos from cellular neural networks. Electronics Letters 1995; 31(4):250-251.
12. Yang X-S, Li Q. A twin-star hyperchaotic attractor and its circuit implementation. International Journal of Circuit Theory and Applications 2003; 31:637-640.
13. Takahashi Y, Nakano H, Saito T. Hyperchaotic spiking oscillators with periodic pulse-train input. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 2005; 52(6):344-348.
14. Li Y, Chen G, Tang WKS. Controlling a unified chaotic system to hyperchaotic. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 2005; 52(4):204-207.
15. Li Q, Yang X-S, Yang F. Hyperchaos in hopfield-type neural networks. Neurocomputing 2005; 67:275-280.
16. Petrás I, Gilli M. Complex dynamics in one-dimensional CNNs. International Journal of Circuit Theory and Applications 2006; 34(1):3-20.
17. Li Q, Yang X-S, Yang F. Hyperchaos in a simple CNN. International Journal of Bifurcation and Chaos 2006; 16(8):2453-2457.
18. Cannas B, Cincotti S. Hyperchaotic behaviour of two bi-directionally coupled Chua's circuits. International Journal of Circuit Theory and Applications 2002; 30(6):625-637.
19. Li Y, Tang WKS, Chen G. Hyperchaos evolved from the generalized Lorenz equation. International Journal of Circuit Theory and Applications 2005; 33(4):235-251.
20. Eckmann JP, Ruelle D. Ergodic theory of chaos and strange attractors. Reviews of Modern Physics 1985; 57(3):617-656.
21. Yang X-S, Tang Y. Horseshoes in piecewise continuous maps. Chaos, Solitons and Fractals 2004; 19(4):841-845.
22. Wiggins S. Introduction to Applied Nonlinear Dynamical Systems and Chaos. Springer: New York, 1990.
23. Li Q, Yang X-S. A computer-assisted verification of hyperchaos in the Saito hysteresis chaos generator. Journal of Physics A: Mathematical and General 2006; 39:9139-9150.