Chaotic neural fuzzy associative memory

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 8, 1999, Pages 1597-1617

  Chan, Hubert Y ^a   Stanislaw, H Zak ^b  

^a Automotive Systems Laboratory Inc   (United States)

^b Purdue University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033176990     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127499001115     Document Type: Article

References (28)

1. Adachi, M. & Aihara, K. [1997] "Associative dynamics in a chaotic neural network," Neural Networks 10(1), 83-98.
2. Aihara, K., Takabe, T. & Toyoda, M. [1990] "Chaotic neural networks," Phys. Lett. A144(6 & 7), 333-340.
3. Alligood, K. T., Sauer, T. D. & Yorke, J. A. [1997] CHAOS An Introduction to Dynamical Systems (Springer-Verlag, NY).
4. Anderson, J. A. [1995] An Introduction to Neural Networks, A Bradford Book (The MIT Press, Cambridge, MA).
5. Caianiello, E. R. [1961] "Outline of a theory of thought-processes and thinking machines," J. Theoret. Biol. 1(2), 204-235.
6. Caianiello, E. R. & Luca, A. D. [1966] "Decision equation for binary systems. Applications to neuronal behavior," Kybernetik 3(1), 33-40.
7. Chan, H. Y. & Zak, S. H. [1997] "On neural networks that design neural associative memories," IEEE Trans. Neural Networks 8(2), 360-372.
8. Chan, H. Y. Zak, S. H. [1998] "Real-time synthesis of sparsely interconnected neural associative memories," Neural Networks 11, 749-759.
9. Freeman, W. J. [1992] "Tutorial on neurobiology: From single neurons to brain chaos," Int. J. Bifurcation and Chaos 2(3), 451-482.
10. Golden, R. M. [1993] "Stability and optimization analyses of the generalized Brain-State-in-a-Box neural network model," J. Math. Psychol. 37(2), 282-298.
11. Goles, E. [1985] "Dynamical behaviour of neural networks," SIAM J. Algeb. Discrete Meth. 6(4), 749-754.
12. Grossberg, S. [1988] "Nonlinear neural networks: Principles, mechanisms, and architectures," Neural Networks 1(1), 17-61.
13. Harmon, L. D. [1961] "Studies with artificial neurons, I: Properties and functions of an artificial neuron," Kybernetik 1(3), 89-101.
14. Hassoun, M. H. [1995] Fundamentals of Artificial Neural Networks, A Bradford Book (The MIT Press, Cambridge, MA).
15. Holden, A. V., Tucker, J. V., Zhang, H. & Poole, M. J. [1992] "Coupled map lattices as computational systems," Chaos 2(3), 367-376.
16. Hopfield, J. J. [1982] "Neural networks and physical systems with emergent collective computational abilities," Proc. Natl. Acad. Sci. USA, Biophys. 79, 2554-2558.
17. Hui, S., Lillo, W. E. & Zak, S. H. [1993] "Dynamics and stability of the Brain-State-in-a-Box (BSB) neural models," in Associative Neural Memories; Theory and Implementation, ed. Hassoun, M. H. (Oxford University Press, NY), Chapter 11, pp. 212-224.
18. Hui, S. & Zak, S. H. [1992] "Dynamical analysis of the Brain-State-in-a-Box (BSB) neural models," IEEE Trans. Neural Networks 3(1), 86-94.
19. Junge, D. [1992] Nerve and Muscle Excitation, 3rd edition (Sinauer Associates, Sunderland, MA).
20. Koch, C. [1997] "Computation and the single neuron," Nature 385(6613), 207-210.
21. Lillo, W. E., Miller, D. C., Hui, S. & Zak, S. H. [1994] "Synthesis of Brain-State-in-a-Box (BSB) based associative memories," IEEE Trans. Neural Networks 5(5), 730-737.
22. McCulloch, W. S. & Pitts, W. [1943] "A logical calculus of the ideas immanent in nervous activity," Bull. Math. Biophys. 5, 115-133.
23. Musha, T., Kosugi, Y., Matsumoto, G. & Suzuki, M. [1981] "Modulation of the time relation of action potential impulses propagating along an axon," IEEE Trans. Biomed. Engin. BME-28(9), 616-623.
24. Nagumo, J. & Sato, S. [1972] "On a response characteristic of a mathematical neuron model," Kybernetik 10(3), 155-164.
25. Nara, S., Davis, P. & Totsuji, H. [1993] "Memory search using complex dynamics in a recurrent neural network model," Neural Networks 6(7), 963-973.
26. Shepherd, G. M. (ed.) [1990] The Synaptic Organization of the Brain, 3rd edition (Oxford University Press, NY).
27. Tasaki, I. [1982] Physiology and Electrochemistry of Nerve Fibers, Biophysics and Bioengineering Series, Vol. 3 (Academic Press, NY).
28. Wang, L. [1994] Adaptive Fuzzy Systems and Control; Design and Stability Analysis (PTR Prentice Hall, Englewood Cliffs, NJ).