Self-organization in a two-layer CNN

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 45, Issue 2, 1998, Pages 157-162

  Arena, Paolo ^a   Baglio, Salvatore ^a   Fortuna, Luigi ^a   Manganaro, Gabriele ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Cellular neural networks, nonlinear systems

Indexed keywords

MATHEMATICAL MODELS; NONLINEAR SYSTEMS; SENSITIVITY ANALYSIS;

TWO LAYER CELLULAR NEURAL NETWORKS;

CELLULAR NEURAL NETWORKS;

EID: 0031999256     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.661681     Document Type: Article

References (21)

1. L. O. Chua, Ed., Special issue on "Nonlinear waves, patterns, and spatio-temporal chaos," IEEE Trans. Circuits Syst. I, vol. 42, Oct. 1995.
2. A. P. Munuzuri, V. Perez-Munuzuri, M. Gomez-Gesteira, L. O. Chua, and V. Ferez-Villar, "Spatiotemporal structures in discretely-coupled arrays of nonlinear circuits: A review," Int. J. Bifur. Chaos, vol. 5, no. 1, pp. 17-50, 1995.
3. L. O. Chua, M. Hasler, G. S. Moschytz, and J. Neirynck, "Autonomous cellular neural networks: A unified paradigm for pattern formation and active wave propagation," IEEE Trans. Circuits Syst. I, vol. 42, pp. 559-577, Oct. 1995.
4. P. Thiran, K. R. Crounse, and G. Setti, "Analytical approach to pattern formation in arrays of coupled systems," in Int. Symp. Nonlinear Theory Appl. (NOLTA95), Las Vegas, NV, Dec. 10-14, 1995, pp. 465-470.
5. P. Thiran, K. R. Crounse, L. O. Chua, and M. Hasler, "Pattern formation properties of autonomous cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 42, pp. 757-774, Oct. 1995.
6. M. J. Ogorzalek, Z. Galias, A. Dabrowski, and W. Dabrowski, "Patterns of activity and self-organization phenomena in arrays of coupled chaotic circuits," in Int. Symp. Nonlinear Theory Appl. (NOLTA95), Las Vegas, NV, Dec. 10-14, 1995, pp. 459-464.
7. V. Perez-Munuzuri, V. Ferez-Villar, and L. O. Chua, "Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: Flat and wrinkled labyrinth," IEEE Trans. Circuits Syst. I, vol. 40, pp. 174-181, Mar. 1993.
8. A. Perez-Munuzuri, V. Perez-Munuzuri, V. Ferez-Villar, and L. O. Chua, "Spiral waves on a 2-D array of nonlinear circuits," IEEE Trans. Circuits Syst. I, vol. 40, pp. 872-877, Nov. 1993.
9. V. I. Krinsky, Ed., Self-Organization: Autowaves and Structures Far from Equilibrium. Berlin, Germany: Springer-Verlag, 1984.
10. S. Kondo and R. Asai, "A reaction-diffusion wave on the skin of the marine Angelfish Pomacanthus," Nature, vol. 376, pp. 765-768, 1995.
11. G. Nicolis and I. Prigogine, Exploring Complexity: An Introduction. San Francisco, CA: Freeman, 1989.
12. V. I. Krinsky, "Autowaves: Results, problems, outlooks," in Self-Organization: Autowaves and Structures Far from Equilibrium. Berlin, Germany: Springer-Verlag, 1984, pp. 9-18.
13. F. Zou and J. A. Nossek, "Bifurcation and chaos in cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 40, pp. 166-173, Mar. 1993.
14. L. O. Chua, C. A. Desoer, and E. S. Kuh, Eds., Linear and Nonlinear Circuits. New York: McGraw-Hill, 1987.
15. M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems and Linear Algebra. New York: Academic, 1974.
16. Y. A. Kuznetsov, S. Muratori, and S. Rinaldi, "Homoclinic bifurcations in slow-fast second order systems," Nonlinear Anal., Theory, Applicat., vol. 25, no. 7, pp. 747-762, 1995.
17. B. S. Heck and H. Haddad, "Singular perturbation in piecewise-linear systems," IEEE Trans. Automat. Contr., vol. 34, pp. 87-89, Jan. 1989.
18. L. O. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Trans. Circuits Syst., vol. 35, pp. 1257-1272, Oct. 1988.
19. L. O. Chua and T. Roska, "The CNN paradigm," IEEE Trans. Circuits Syst. I, vol. 40, pp. 147-156, Mar. 1993.
20. R. Dominguez-Castro, S. Espejo, A. Rodriguez-Vazquez, and R. Carmona, "A CNN universal chip in CMOS technology," in 3rd IEEE Int. Workshop CNN (CNNA-94), Rome, Italy, 1994, pp. 91-96.
21. S. Espejo, A. Rodriguez-Vazquez, and R. Dominguez-Castro, "A 1 μm CMOS cellular neural network universal machine," in Proc. European Conf. Circuit Theory Design (ECCTD'95), Istanbul, Turkey, 1995, pp. 893-896.