A systematic procedure for synchronizing hyperchaos via observer design

Journal of Circuits, Systems and Computers

Volumn 11, Issue 1, 2002, Pages 1-16

  Grassi, Giuseppe ^a   Mascolo, Saverio ^b  

^a UNIVERSITY OF SALENTO   (Italy)

^b POLITECNICO DI BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346675039     PISSN: 02181266     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218126602000240     Document Type: Review

References (18)

1. T. L. Carroll and L. M. Pecora, "Synchronizing chaotic circuits", IEEE Trans. CAS 38 (1991) 453-456.
2. H. Nijmeijer and I. M. Y. Marcels, "An observer looks at synchronization", IEEE Trans. CAS 44 (1997) 882-890.
3. J. H. Peng, E. J. Ding, M. Ding, and W. Yang, "Synchronizing hyperchaos with a scalar transmitted signal", Phys. Rev. Lett. 76 (1996) 904-907.
4. G. Grassi and S. Mascolo, "Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal", IEEE Trans. CAS 44 (1997) 1011-1014.
5. G. Grassi and S. Mascolo, "Synchronization of hyperchaotic oscillators using a scalar signal", IEE Electron. Lett. 34 (1998) 424-125.
6. T. Yang and L. O. Chua, "Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication", Int. J. Bifur. Chaos 7 (1997) 645-664.
7. E. Lindberg, A. Tamasevicius, A. Cenys, G. Mykolaitis, and A. Namajunas, "Hyperchaos via χ-diode", Proc. 6th Int. Workshop on Nonlinear Dynamics of Electronic Systems (NDES 98), Budapest (1998) 125-128.
8. H. Lu, Y. He, and Z. He, "A chaos generator: Analyses of complex dynamics of a cell equation in delayed Cellular Neural Networks", IEEE Trans. CAS 45 (1998) 178-181.
9. T. Kapitaniak, L. O. Chua, and G. Q. Zhong, "Experimental hyperchaos in coupled Chua's circuits", IEEE Trans. CAS 41 (1994) 499-503.
10. T. Matsumoto, L. O. Chua, and K. Kobayashi, "Hyperchaos: Laboratory experiment and numerical confirmation", IEEE Trans. CAS 33 (1986) 1143-1147.
11. A. Tamasevicius, "Hyperchaotic circuits: State of the art", in Proc. Fifth Int. Workshop on Nonlinear Dynamics of Electronic Systems (NDES '97), Moscow (1997) 97-102.
12. T. Saito, "An approach toward higher dimensional hysteresis chaos generators", IEEE Trans. CAS 37 (1990) 399-409.
13. A. Namajunas, K. Pyragas, and A. Tamasevicius, "An electronic analog of the Mackey-Glass system", Phys. Lett. A 201 (1995) 42-46.
14. V. S. Anishchenko, T. Kapitaniak, M. A. Safonova, and O. V. Sosnovzeva, "Birth of double-double scroll attractor in coupled Chua circuits", Phys. Lett. A 192 (1994) 207-214.
15. T. L. Carroll and L. M. Pecora, "A circuit for studying the synchronization of chaotic systems", Int. J. Bifur. Chaos 2 (1992) 659-667.
16. A. Stefanski, T. Kapitaniak, and J. Brindley, "Dynamics of coupled Lorenz systems and its geophysical implications", Physica D 98 (1996) 594-598.
17. T. Kailath, Linear Systems, Prentice Hall, New Jersey, 1980.
18. D. A. Miller and G. Grassi, "Experimental realization of observer-based hyperchaos synchronization", IEEE Trans. CAS-I, March 2001.