Universal CNN cells

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 1, 1999, Pages 1-48

  Dogaru, Radu ^b   Chua, Leon O ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY POLITEHNICA OF BUCHAREST   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032623022     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812749900002X     Document Type: Review

References (30)

1. Aizenberg, N. N., Aizenberg, I. N. & Krivosheev, G. A. [1995] "Multi- valued neurons: Learning, networks, application to image recognition and extrapolation of temporal series," Lecture Notes in Computer Science 930, eds. Mira, J. & Sandoval, F., pp. 389-395.
2. Chua, L. O. & Kang, S. M. [1977] "Section-wise piecewise-linear functions: Canonical representation, properties, and applications," Proc. IEEE 65(6), 915-929.
3. Chua, L. O. & Yang, L. [1988] "Cellular neural networks: Theory and applications," IEEE Trans. Circuits Syst. 35, 1257-1290.
4. Chua, L. O. [1998] CNN: A Paradigm for Complexity, (World Scientific, Singapore).
5. Chua, L. O. [1999] "Passivity and complexity," IEEE Trans. Circuits Syst. I 46(1), 71-81.
6. Berlekamp, E., Conway, J. H. & Guy, R. K. [1982] Winning Ways for Your Mathematical Plays (Academic, NY), Vol. 2, Chapter 2, pp. 817-850.
7. Crounse, K. R., Fung, E. L. & Chua, L. O. [1997] "Efficient implementation of neighbourhood logic for cellular automata via the cellular neural network universal machine," IEEE Trans. Circuits Syst. I 44(4), 355-361.
8. Dogaru, R. & Chua, L. O. [1998a] "Rectification neural networks: A novel adaptive architecture and its application for implementing the local logic of cellular neural networks," U.C. Berkeley, Electronics Research Laboratory Memorandum No. UCB/ERL M98/4, 15 January 1998. Also available from ftp://fred.eecs.berkeley.edu/pub/radu/papers/rnn.ps
9. Dogaru R. & Chua, L. O. [1998b] "Edge of chaos and local activity domain of FitzHugh-Nagumo Equation," Int. J. Bifurcation and Chaos 8(2), 211-257.
10. Dogaru, R. & Chua, L. O. [1998c] "Edge of chaos and local activity domain of the Brusselator CNN," Int. J. Bifurcation and Chaos 8(6), 1107-1130.
11. Dogaru, R. & Chua, L. O. [1998d] "Edge of chaos and local activity domain of the Gierer-Meinhardt CNN," Int. J. Bifurcation and Chaos 8(12), 2321-2340.
12. Dogaru, R., Chua, L. O. & Crounse, K. [1998e], "Pyramidal cells: A novel class of adaptive coupling cells and their applications for cellular neural networks," IEEE Trans. Circuits Syst. I 45(10), 1077-1090.
13. Dogaru, R. & Chua, L. O. [1998f] "CNN genes for one-dimensional cellular automata: A multi-nested piecewise-linear approach," Int. J. Bifurcation and Chaos 8(10), 1987-2001.
14. Fielder, U. & Seitzer, D. [1979] "A high-speed 8 bit A/D converter based on a gray-code multiple folding circuit," IEEE J. Solid-State Circuits 14(3), 547-551.
15. Güzelis, C. & Göknar, I. C. [1991] "A canonical representation for piecewise-affine maps and its application to circuit analysis," IEEE Trans. Circuits Syst. I 38(11), 1342-1354.
16. Haring, D. R. [1966] "Multi-threshold threshold elements," IEEE Trans. Electron. Comput. EC-15(1), 45-65.
17. Harth, E. & Pandya, A. S. [1988] "Dynamics of ALOPEX process: Application to optimization problems," Biomathematics and Related Computational Problems, ed. Ricciardi, L. M. (Kluwer Academic Publishers), pp. 459-471.
18. Hassoun, M. H. [1995] Fundamentals of Artificial Neural Networks (MIT Press).
19. Kahlert, C. & Chua, L. O. [1992] "The complete canonical piecewise-linear representation - Part I: The geometry of the domain space," IEEE Trans. Circuits Syst. I 39(3), 222-236.
20. Kennedy, M. P. [1995] "A nonlinear dynamics interpretation of algorithmic A/D conversion," Int. J. Bifurcation and Chaos 5(3), 891-893.
21. Koza, J. R. [1994] Genetic Programming II (MIT Press, Cambridge MA).
22. Langton, C. G. [1990] "Computation at the edge of chaos: Phase transitions and emergent computation," Physica D42, 12-37.
23. Madan, R. N. [1993] Chua's Circuit: A Paradigm for Chaos (World Scientific, Singapore).
24. Mange, D. & Tomassini, M. (eds.) [1998] Bio-Inspired Computing Machines (Press Polytechniques et Universitaires Romandes, Lausanne).
25. Nauta, B. & Venes, A. G. W. [1995] "A 70-MS/s 110-mW 8-b CMOS folding and interpolating A/D converter," IEEE J. Solid-State Circuits 30(12), 1302-1308.
26. Nemes, L., Chua, L. O. & Roska, T. [1998] "Implementation of arbitrary Boolean functions on the CNN universal machine," Int. J. Circuits Theor. Appl. 26(6), 593-610.
27. Ott, E. [1993] Chaos in Dynamical Systems (Cambridge University Press, UK).
28. Roska, T. & Chua, L. O. [1993] "The CNN universal machine: An analogic array computer," IEEE Trans. Circuits Syst. II: Analog and Digital Signal Processing 40, 163-173.
29. Toffoli, T. & Margolus, N. [1987] Cellular Automata Machines (MIT Press, Cambridge, MA).
30. Wolfram, S. [1984] "Universality and complexity in cellular automoata," Physica D10, 1-35.