Experimental evidence of locally intermingled basins of attraction in coupled Chua's circuits

Chaos, Solitons and Fractals

Volumn 8, Issue 9, 1997, Pages 1517-1522

  Kapitaniak, T ^a   Chua, L O ^b   Zhong, G Q ^b  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED CIRCUITS; NUMERICAL ANALYSIS; SYNCHRONIZATION;

BASINS OF ATTRACTION; CHAOS SYNCHRONIZATION; COUPLED CHUA'S CIRCUITS;

CHAOS THEORY;

EID: 0031235355     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(96)00151-8     Document Type: Article

References (19)

1. Fujisaka, H. and Yamada, T., Synchronization in chaotic systems. Progr. Theoret. Phys., 1983, 69, 32-47.
2. Afraimovich, V. S., Verichev, N. N. and Rabinovich, M. I., Stochastic synchronization of oscillations in dissipative systems. Radiophys. Quant. Electron., 1986, 29, 795-803.
3. Pecora, L. and Carroll, T. S., Synchronization in chaotic systems. Phys. Rev. Lett., 1990, 64, 821-824.
4. Pecora, L. and Carroll, T. S., Synchronizing chaotic circuits. IEEE Trans. Circuits Systems, 1991, 38, 453-456.
5. Carroll, T., Synchronizing chaotic systems using filtered signals. Phys. Rev. E, 1994, 50, 1563-1575.
6. Ashwin, P., Buescu, J. and Stewart, I., Bubbling of attractors and synchronization of chaotic oscillators. Phys. Lett. A, 1994, 193, 126-134.
7. Kapitaniak, T., Synchronization of chaos using continuous control. Phys. Rev. E, 1994, 50, 1642-1644.
8. Kapitaniak, T. and Chua, L. O., Hyperchaotic attractors of unidirectionally-coupled Chua's circuits. Int. J. Bifurcation and Chaos, 1994, 4, 477-482.
9. Milnor, J., On the concept of attractor. Comm. Math. Phys., 1985, 99, 177-205.
10. Alexander, J. C., Kan, I., Yorke, J. A. and You, Z., Riddled basins. Int. J. Bifurcation and Chaos, 1992, 2, 795-812.
11. Ott, E. and Sommerer, J. C., Blowout bifurcations: the occurrence of riddled basins and on-off intermitteney. Phys. Lett. A, 1994, 188, 39-47.
12. Ott, E., Sommerer, J. C., Alexander, I., Kan, I. and Yorke, J. A., The transition to chaotic attractors with riddled basins. Phys. D, 1994, 76, 384-410.
13. Heagy, J. F., Carroll, T. and Pecora, L., Experimental and numerical evidence for riddled basins in coupled chaotic systems. Phys. Rev. Lett., 1994, 73, 3528-3531.
14. Kapitaniak, T., Experimental observation of riddled behavior. J. Phys. A, 1995, 28, 63-66.
15. Chua, L. O., Komuro, M. and Matsumoto, T., The double scroll family parts I and II. IEEE Trans. Circuits Systems, 1986, 3311, 1073-1118.
16. Chua, L. O., Global unfolding of Chua's circuit. IEICE Trans. Fundamentals E, 1993, 76A, 704-734.
17. Kapitaniak, T. and Chua, L. O., Locally intermingled basin of attraction: uncertainty in chaos sysnchronization. Int. J. Bifurcation and Chaos, 1996, 6, 357-366.
18. Kapitaniak, T., Uncertainty in coupled chaotic systems: locally intermingled basins of attraction. Phys. Rev. In press.
19. Parker, T. S. and Chua, L. O., Practical Numerical Algorithms for Chaotic Systems. Springer, New York, 1989.