Global attraction in the sigma-delta modulator piecewise isometry

Dynamical Systems

Volumn 17, Issue 4, 2002, Pages 377-388

  Deane, J H B ^a  

^a UNIVERSITY OF SURREY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DELTA SIGMA MODULATION; GEOMETRY; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; MODULATORS; NETWORKS (CIRCUITS); THEOREM PROVING;

GLOBAL ATTRACTION; PIECEWISE ISOMETRY; POLYGONAL ATTRACTOR; SIGMA-DELTA MODULATOR;

CONFORMAL MAPPING;

EID: 0036939553     PISSN: 14689367     EISSN: None     Source Type: Journal    
DOI: 10.1080/1468936021000043922     Document Type: Article

References (8)

1. Ashwin, P., Deane, J. H. B., and Fu, X.-C., 2001, Dynamics of a bandpass sigma-delta modulator as a piecewise isometry. Proceedings, ISCAS 2001, Sydney, Australia, pp. III-811-III-814.
2. Feely, O., and Fitzgerald, D., 1996a, Non-ideal and chaotic behaviour in bandpass sigma-delta modulators. Proceedings of NDES 1996, Sevilla, Spain, pp. 399-404.
3. Feely, O., 1995, Nonlinear dynamics of bandpass sigma-delta modulation. Proceedings of NDES, Dublin. pp. 33-36.
4. Feely, O. and Fitzgerald, D., 1996b, Bandpass sigma-delta modulation: an analysis from the perspective of nonlinear dynamics. Proceedings of ISCAS 1996, Atlanta, GA, May 1996.
5. Davies, A. C., 1996, Periodic non-linear oscillations from bandpass sigma-delta modulators. Proceedings of ISCAS 1996, Atlanta, GA, pp. 469-472.
6. Ashwin, P. and Fu, X.-C., 2002. On the geometry of planar piecewise isometries. Journal of Nonlinear Science (in press).
7. Ashwin, P., and Fu, X.-C., 2001, Tangencies in invariant disk packings for certain planar piecewise isometries are rare. Dynamical Systems, 16(4): 333-345.
8. Ashwin, P., 1997, Elliptic behaviour in the sawtooth standard map. Physics Letters A, 232: 409.