{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,7]],"date-time":"2025-07-07T07:06:28Z","timestamp":1751871988384},"reference-count":4,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2006,12,13]],"date-time":"2006-12-13T00:00:00Z","timestamp":1165968000000},"content-version":"vor","delay-in-days":5886,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Circuit Theory &amp; Apps"],"published-print":{"date-parts":[[1990,11]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper studies the three\u2010valued symbolic dynamics associated with the second\u2010order non\u2010linear 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.<\/jats:p>","DOI":"10.1002\/cta.4490180602","type":"journal-article","created":{"date-parts":[[2007,7,1]],"date-time":"2007-07-01T23:46:29Z","timestamp":1183333589000},"page":"541-550","source":"Crossref","is-referenced-by-count":51,"title":["Fractal pattern of second\u2010order non\u2010linear digital filters: A new symbolic analysis"],"prefix":"10.1002","volume":"18","author":[{"given":"L. O.","family":"Chua","sequence":"first","affiliation":[]},{"given":"T.","family":"Lin","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2006,12,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.1109\/31.1802"},{"key":"e_1_2_1_3_2","volume-title":"An Introduction to Chaotic Dynamical Systems","author":"Devaney R. L.","year":"1986"},{"key":"e_1_2_1_4_2","unstructured":"R.BoiteandYangXin\u2010Qiang 'On the free overflow oscillations in digital filters' Preprint."},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490180303"}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fcta.4490180602","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4490180602","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,22]],"date-time":"2023-10-22T11:10:33Z","timestamp":1697973033000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.4490180602"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,11]]},"references-count":4,"journal-issue":{"issue":"6","published-print":{"date-parts":[[1990,11]]}},"alternative-id":["10.1002\/cta.4490180602"],"URL":"https:\/\/doi.org\/10.1002\/cta.4490180602","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,11]]}}}