Orbit-periods in second-order finite-precision digital filters with overflow

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 9, Issue 8, 1999, Pages 1669-1674

  Chambers, W G ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033177280     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127499001152     Document Type: Article

References (10)

1. Chambers, W. G. [1995] "On random mappings and random permutations," Lecture Notes in Computer Science 1008, pp. 22-28.
2. Davies, A. C. [1995] "Nonlinear oscillations and chaos from digital-filter overflow," Phil. Trans. R. Soc. London Series A, Phys. Sci. Engin. 353, 85-99.
3. Prey, D. R. [1993] "Chaotic digital encoding: An approach to secure communication," IEEE Trans. Circuits Syst. II - Analog and Dig. Sign. Process. 40(10), 660-666.
4. Knuth, D. [1982] The Art of Computer Programming, Vol. 2 (Addison-Wesley, Reading, MA).
5. Kocarev, L. & Chua, L. O. [1993] "On chaos in digital filters - case b = -1," IEEE Trans. Circuits Syst. II - Analog and Dig. Sign. Process. 40(6), 404-407.
6. Kocarev, L., Wu, C. W. & Chua, L. O. [1996] "Complex behavior in digital filters with overflow non-linearity," IEEE Trans. Circuits Syst. II - Analog and Dig. Sign. Process. 43(3), 234-246.
7. Lin, T. & Chua, L. O. [1991] "On chaos of digital filters in the real world," IEEE Trans. Circuits Syst. 38(5), 241-255.
8. Lin, T. & Chua, L. O. [1993] "A new class of pseudorandom number generator based on chaos in digital filters," Int. J. Circuit Th. Appl. 21, 473-480.
9. Schneier, B. [1996] Applied Cryptography: Protocols, Algorithms and Source Code in C, 2nd edition (Wiley, NY).
10. Wu, C. W. & Chua, L. O. [1994] "Symbolic dynamics of piecewise-linear maps," IEEE Trans. Circuits Syst. II - Analog and Dig. Sign. Process. 41(6), 420-424.