Chaos in digital filters: identification of all periodic symbolic sequences admissible adjacent to zero

DOI10.1088/0951-7715/20/4/010zbMath1124.37006OpenAlexW2024474419MaRDI QIDQ3593308

C. J. Vowden, B. J. Vowden

Publication date: 20 July 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/20/4/010

zbMATH Keywords

admissibilityperiodic sequencessymbolic sequencesdigital filter with 2's complement arithmetic

Mathematics Subject Classification ID

Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Combinatorial dynamics (types of periodic orbits) (37E15) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

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Representations for complex numbers with integer digits ⋮ Symmetric and non-symmetric periodic orbits for the digital filter map

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