Lossless digital filter overflow oscillations; approximation of invariant fractals

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 11, 1997, Pages 2603-2610

  Ashwin, Peter ^a   Chambers, W ^b   Petkov, G ^b  

^a UNIVERSITY OF SURREY   (United Kingdom)

^b KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031279862     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812749700176X     Document Type: Article

References (9)

1. Ashwin, P. [1996] "Non-smooth invariant circles in digital overflow oscillations," Proc. NDES96: 4th Int. Workshop on Nonlinear Dynamics of Electronic Systems, Seville, Spain, pp. 417-422.
2. Chua, L. O. & Lin, T. [1988] "Chaos in digital filters," IEEE Trans. CAS 35, 648-658.
3. Davies, A. C. [1995] "Nonlinear oscillations and chaos from digital filter overflow," Phil. Trans. R. Soc. Lond. A353, 85-99.
4. Davies, A. C. & Petkov, G. P. [1995] "Overflow limit cycles from digital filters with complex eigenvalues within the unit circle," Proc. NDES95: 3rd Int. Workshop on Nonlinear Dynamics of Electronic Systems, Dublin, Ireland, pp. 45-48.
5. Falconer, K. [1990] Fractal Geometry (John Wiley, Chichester).
6. Farmer, J. D. [1985] "Sensitive dependence on parameters in nonlinear dynamics," Phys. Rev. Lett. 55, 351-354.
7. Grebogi, C., McDonald, S. W., Ott, E. & Yorke, J. A. [1985] "Exterior dimensions of fat fractals," Phys. Lett. A110, 1-4.
8. Katok, A. & Hasselblatt, B. [1995] Introduction to the Modern Theory of Dynamical Systems, Encylopedia of Mathematics and its Applications, Vol. 54 (CUP, Cambridge).
9. Kocarev, L., Wu, C. W. & Chua, L. O. [1996] "Complex behavior in Digital filters with overflow nonlinearity: Analytical results," IEEE Trans. CAS-II 43, 234-246.