PROPERTIES OF THE INVARIANT DISK PACKING IN A MODEL BANDPASS SIGMA–DELTA MODULATOR

DOI10.1142/S0218127403006753zbMath1056.37059DBLPjournals/ijbc/AshwinFD03OpenAlexW2013654208WikidataQ61951273 ScholiaQ61951273MaRDI QIDQ4653802

Jonathan H. B. Deane, Peter Ashwin, Xin-Chu Fu

Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127403006753

zbMATH Keywords

symbolic codingdiscontinuous dynamical systemdisk packingsigma-delta modulatorPiecewise isometry

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Applications of dynamical systems (37N99) Low-dimensional dynamical systems (37E99)

Related Items (10)

GLOBAL STABILITY, LIMIT CYCLES AND CHAOTIC BEHAVIORS OF SECOND ORDER INTERPOLATIVE SIGMA DELTA MODULATORS ⋮ Dynamical properties of 2-torus parabolic maps ⋮ Return maps in cyclotomic piecewise similarities ⋮ Hicks' trade cycle revisited: cycles and bifurcations. ⋮ Tangent-free property for periodic cells generated by some general piecewise isometries ⋮ Cone exchange transformations and boundedness of orbits ⋮ On global attractors for a class of nonhyperbolic piecewise affine maps ⋮ Admissibility conditions for symbolic sequences in dynamics of digital filter with two’s complement arithmetic ⋮ Tangents-free property in invariant disk packings generated by some general planar piecewise isometries ⋮ Chaotic sets of continuous and discontinuous maps

Cites Work

• Dynamics of a piecewise rotation
• On the geometry of orientation-preserving planar piecewise isometries
• Elliptic behaviour in the sawtooth standard map.
• Stability of piecewise rotations and affine maps
• Nonlinear oscillations and chaos from digital filter overflow
• Topological entropy of generalized polygon exchanges
• Lossless Digital Filter Overflow Oscillations; Approximation of Invariant Fractals
• Tangencies in invariant disc packings for certain planar piecewise isometries are rare
• Hamiltonian mappings and circle packing phase spaces

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