GLOBAL STABILITY, LIMIT CYCLES AND CHAOTIC BEHAVIORS OF SECOND ORDER INTERPOLATIVE SIGMA DELTA MODULATORS

DOI10.1142/S0218127411029410zbMath1248.94036MaRDI QIDQ3165795

Charlotte Yuk-Fan Ho, Xinghuo Yu, Joshua D. Reiss, Bingo Wing-Kuen Ling

Publication date: 19 October 2012

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

zbMATH Keywords

global stabilitychaotic behaviorfractal behaviorlimit-cycle behaviorsecond-order interpolative sigma-delta modulators

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for smooth dynamical systems (37C75) Modulation and demodulation in information and communication theory (94A14)

Cites Work

• Stability of sinusoidal responses of marginally stable bandpass sigma delta modulators
• Refined Error Analysis in Second-Order<tex>$Sigma Delta $</tex>Modulation With Constant Inputs
• A tutorial introduction to non-linear dynamics and chaos and their application to sigma–delta modulators
• Constraints on constant-input oscillations of a bandpass sigma-delta modulator structure
• On the stability of sigma delta modulators
• PROPERTIES OF THE INVARIANT DISK PACKING IN A MODEL BANDPASS SIGMA–DELTA MODULATOR

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