{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,26]],"date-time":"2025-10-26T13:58:03Z","timestamp":1761487083505},"reference-count":25,"publisher":"World Scientific Pub Co Pte Ltd","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,11]]},"abstract":"<jats:p>In this paper a new strategy is proposed in order to extend the class of complex and chaotic dynamics which can be generated by a State-Controlled CNN (SC-CNN). It is shown that, with slight modifications to the original paradigm, it is possible to represent a wide class of nonlinearities by using only piecewise linear (PWL) nonlinearities as output functions of the CNN. The adopted circuitry is presented, together with several examples concerning the emulation of the R\u00e4ssler and Lorenz chaotic systems, and the Partial Differential Equations (PDE) governing the complex phenomena of solitons (Korteweg\u2013de Vries PDE) and the activator\u2013inhibitor reaction for the formation of patterns in the sea shells (Meinhardt\u2013Gierer PDE). The results achieved enforce the role of SC-CNNs as universal paradigm for the generation of nonlinear, complex dynamics.<\/jats:p>","DOI":"10.1142\/s0218127403008727","type":"journal-article","created":{"date-parts":[[2003,12,18]],"date-time":"2003-12-18T09:02:05Z","timestamp":1071738125000},"page":"3273-3286","source":"Crossref","is-referenced-by-count":14,"title":["MODELING COMPLEX DYNAMICS VIA EXTENDED PWL-BASED CNNs"],"prefix":"10.1142","volume":"13","author":[{"given":"LUIGI","family":"FORTUNA","sequence":"first","affiliation":[{"name":"Dipartimento Elettrico Elettronico e Sistemistico, Universit\u00e0 degli Studi Catania, Viale A. Doria 6, 95125 Catania, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"RIZZO","sequence":"additional","affiliation":[{"name":"Dipartimento di Elettrotecnica ed Elettronica, Politecnico di Bari, Via Re David, 200\u201370125, Bari, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M. 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