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Fractal pattern of second‐order non‐linear digital filters: A new symbolic analysis
Author(s) -
Chua L. O.,
Lin T.
Publication year - 1990
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490180602
Subject(s) - fractal , symbolic dynamics , chaotic , mathematics , digital filter , order (exchange) , sequence (biology) , symbolic data analysis , filter (signal processing) , linear filter , the symbolic , fractal analysis , algorithm , discrete mathematics , computer science , pure mathematics , mathematical analysis , fractal dimension , artificial intelligence , statistics , finance , biology , economics , computer vision , genetics , psychology , psychoanalysis
This paper studies the three‐valued symbolic dynamics associated with the second‐order non‐linear digital filter which has been shown to be a chaotic system recently. A new necessary and sufficient condition is given for a periodic sequence to be an admissible one. the condition is further used to prove that four types of periodic sequences cannot be admissible.