Bifurcation and chaos in noninteger order cellular neural networks

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 8, Issue 7, 1998, Pages 1527-1539

  Arena, P ^a   Caponetto, R ^a   Fortuna, L ^a   Porto, D ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039504232     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498001170     Document Type: Article

References (19)

1. Arena, P., Baglio, S., Fortuna, L. & Manganaro, G. [1996] "State controlled CNN: A new strategy for generating high complex dynamics," IEICE Trans. Fundamentals E79-A (10), 1647-1657.
2. Charef, A., Sun, H. H., Tsao, Y. Y. & Onaral, B. [1992] "Fractal systems as represented by singularity function," IEEE Trans. Aut. Cont. 37(9), 1465-1470.
3. Chua, L. O. (ed.) [1995] Special issue on Nonlinear Waves, Patterns and Spatio-Temporal Chaos in Dynamic Arrays, IEEE Trans. Circuit Syst., Part 1.
4. Chua, L. O. & Yang, L. [1988a] "Cellular neural networks: Theory," IEEE Trans. Circuits Syst. 35, 1257-1272.
5. Chua, L. O. & Yang, L. [1988b] "Cellular neural networks: Applications," IEEE Trans. Circuits Syst. 35, 1273-1290.
6. Genesio, R. & Tesi, A. [1991] "Chaos prediction in nonlinear feedback systems," IEEE Proc. D138(4), 313-320.
7. Harteley, T., Lorenzo, C. F. & Qammer, H. K. [1995] "Chaos in a fractional order Chua's system," IEEE Trans. Circuits Syst. I: Fundamental Theor. Appl. 42(8), 485-490.
8. Keshner, M. S. [1982] "1/f noise," Proc. IEEE 70(3), 212-218.
9. Le Mehaut, A. [1991] Fractal Geometries (CRC Press, Boca Raton, Ann Arbor London).
10. Liu, S. H. [1985] "Fractal model for the AC response of a rough interface," Phys. Rev. Lett. 55(5), 529-532.
11. Madan, R. [1993] Chua's Circuit: A Paradigm for Chaos (World Scientific, Singapore).
12. Oldham, K. B. & Spanier, J. [1974] Fractional Calculus (Academic Press, NY).
13. Oustaloup, A. [1983] "Systemes asservis lineaires d' ordre fractionnaire," Masson, Paris.
14. Oustaloup, A. [1991] Commande CRONE (Editions Hermes, Paris).
15. Oustaloup, A., Lanusse, P. & Mathieu, B. [1995] "Robust control of SISO plants: The CRONE control," Proc. 3rd European Control Conf. (Rome, Italy), pp. 1423-1429.
16. Ross, B. (ed.) [1975] Fractional Calculus and Its Applications (Springer-Verlag, Berlin).
17. Vidyasagar, M. [1993] Nonlinear Systems Analysis (Prentice Hall, Englewood Cliffs, MJ).
18. Zou, F. & Nossek, J. A. [1991] "Stability of cellular neural networks with opposite-sign templates," IEEE Trans. Circuits Syst. I: Fundamental Theor. Appl. 38(6), 675-677.
19. Zou, F. & Nossek, J. A. [1993] "Bifurcation and chaos in cellular neural networks," IEEE Trans. Circuits Syst. I: Fundamental Theor. Appl. 40(3), 166-172.