Chaos in Digital Filters

IEEE Transactions on Circuits and Systems

Volumn 35, Issue 6, 1988, Pages 648-658

  Chua, Leon O ^a   Lin, Tao ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - DIGITAL ARITHMETIC;

CHAOS; FRACTAL GEOMETRY; INTRICATE CHAOTIC DYNAMICS; OVERFLOW NONLINEARITY; TWO'S-COMPLEMENT ARITHMETIC;

ELECTRIC FILTERS, DIGITAL;

EID: 0024029645     PISSN: 00984094     EISSN: None     Source Type: Journal    
DOI: 10.1109/31.1802     Document Type: Article

References (8)

1. R. L. Devaney, An Introduction to Chaotic Dynamical Systems. Menlo Park, CA: The Benjamin/Cummings, 1986.
2. B. Mandelbrot, The Fractal Geometry of Nature. New York:Freeman, 1983.
3. P. Fischer and W. R. Smith, Chaos, Fractals, and Dynamics. NewYork: M. Dekker, 1985.
4. M. F. Barnsley and S. G. Demko, Chaotic Dynamics and Fractals. Orlando, FL: Academic, 1986.
5. L. O. Chua, M. Komuro, and T. Matsumoto, “The double scrollfamily,” IEEE Trans. Circuits Syst., vol. CAS-33, pp. 1073-1118, Nov. 1987.
6. P. M. Ebert, J. E. Mazo, and M. G. Taylor, “Overflow oscillations indigital filters,” Bell Syst. Tech. J., pp. 2999-3020, Nov. 1969.
7. D. Mitra, “Large amplitude, self-sustained oscillations in differenceequations which describe digital filter sections using saturation arithmetic,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-25, pp. 134-143, Apr. 1977.
8. O. Macchi and M. Jaidane-Saidane, “Bifurcations in adaptive ARMApredictors,” in Proc. European Conf. on Circuit Theory and Design, Paris, France, pp. 287-294, Sept. 1-4, 1987.