Abstract
In this paper, some results of investigation of a round au- towave emerging and propagating in two-layer Cellular Neural Network (CNN) are presented. The round autowave is initiated by one cell. Cell phase plane properties and their influence on the autowave emergence process are considered. On the base of theoretical investigation of two- cell communication, required conditions for the autowave emergence in two CNN types are suggested. Simulating results in form of characteristic dependencies for two types of the autowave process, namely for traveling front and traveling pulse, are presented.
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References
L. O. Chua, L. Yang, “Cellular Neural Networks: Theory and Applications”, IEEE Transactions on Circuits and Systems, vol. 35, pp. 1257–1290, 1988.
A. P. Munuzuri, V. Perez-Munuzuri, M. Gomez-Gesteira, L. O. Chua and V. Perez-Villar, “Spatiotemporal structures in discretely-coupled arrays of nonlinear circuits: a review”, Int. Journal of Bifurcation and Chaos, Vol. 5, no. 1, pp. 17–50, 1995.
P. Aerna, S. Baglio, L. Fortuna, G. Manganaro, “Self-Organization in a Two-Layer CNN”, IEEE Transactions on Circuits and Systems-Part I, vol. 45, no. 2, pp. 157–163, Feb. 1998.
F. Zou, J. A. Nossek, “Bifurcation and Chaos in Cellular Neural Networks”, IEEE Transactions on Circuits and Systems-Part I, vol. 40, pp. 166–173, 1993.
P. Thiran, K. R. Crounse, G. Setti, “Analytical approach to pattern formation in arrays of coupled systems”, International Symp. on Nonlinear Theory and its Applications (NOLTA95), 10-14 Dec. 1995, Las Vegas, USA, pp. 465–470.
V. A. Vasil’ev, Yu. M. Romanovsky, V. G. Yakhno, Avtovolnovye Processy (Autowave processes), Moscow: Nauka, 1987.
L. O. Chua (editor), Special Issue on Nonlinear Waves, Patterns and Spatio-Temporal Chaos, IEEE Transactions on Circuits and Systems-Part I, vol. 42, no. 10, 1995.
T. Roska, L. O. Chua, “The CNN Universal Machine: An Analogic Array Computer”, IEEE Transactions on Circuits and Systems, Part II, vol. 40, no. 3, pp. 163–173, 1993.
L. O. Chua, CNN: A Paradigm for Complexity, Worl Scientific series on Nonlinear Science, Series A, Vol. 31, World Scientific, 1998
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Selikhov, A. (1999). Emergence and Propagation of Round Autowave in Cellular Neural Network. In: Malyshkin, V. (eds) Parallel Computing Technologies. PaCT 1999. Lecture Notes in Computer Science, vol 1662. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48387-X_13
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DOI: https://doi.org/10.1007/3-540-48387-X_13
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