{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T13:58:35Z","timestamp":1772287115098,"version":"3.50.1"},"reference-count":28,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2006,12,13]],"date-time":"2006-12-13T00:00:00Z","timestamp":1165968000000},"content-version":"vor","delay-in-days":5216,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Circuit Theory &amp; Apps"],"published-print":{"date-parts":[[1992,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The cellular neural network (CNN) paradigm is a powerful framework for analogue non\u2010linear processing arrays placed on a regular grid. In this paper we extend the current repertoire of CNN cloning template elements (atoms) by introducing additional non\u2010linear and delay\u2010type characteristics. In addition, architectures with non\u2010uniform processors and neighbourhoods (grid sizes) are introduced. With this generalization, several well\u2010known and powerful analogue array\u2010computing structures can be interpreted as special cases of the CNN. Moreover, we show that the CNN with these generalized cloning templates has a general programmable circuit structure (a prototype machine) with analogue macros and algorithms. the relations with the cellular automaton (CA) and the systolic array (SA) are analysed. Finally, some robust stability results and the state space structure of the dynamics are presented.<\/jats:p>","DOI":"10.1002\/cta.4490200504","type":"journal-article","created":{"date-parts":[[2007,7,2]],"date-time":"2007-07-02T04:04:05Z","timestamp":1183349045000},"page":"469-481","source":"Crossref","is-referenced-by-count":319,"title":["Cellular neural networks with non\u2010linear and delay\u2010type template elements and non\u2010uniform grids"],"prefix":"10.1002","volume":"20","author":[{"given":"Tam\u00e1s","family":"Roska","sequence":"first","affiliation":[]},{"given":"Leon O.","family":"Chua","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\/31.7600"},{"key":"e_1_2_1_2_3","doi-asserted-by":"crossref","first-page":"1273","DOI":"10.1109\/31.7601","article-title":"Cellular neural networks: Applications","volume":"35","author":"Chua L. O.","journal-title":"IEEE Transactions on Circuits and Systems"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1109\/31.101272"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/31.135756"},{"key":"e_1_2_1_5_2","first-page":"2425","article-title":"VLSI Implementation of Cellular Neural Networks","volume":"90","author":"Yang L.","year":"1990","journal-title":"Proc. IEEE"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-1639-8"},{"key":"e_1_2_1_7_2","doi-asserted-by":"crossref","unstructured":"T.Roska T.Boros P.ThiranandL. O.Chua Detecting simple motion using Cellular Neural Networks' Proc. CNNA\u201090 pp.127\u2013138 1990.","DOI":"10.1109\/CNNA.1990.207516"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-1639-8"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1109\/34.56205"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1109\/31.34663"},{"key":"e_1_2_1_11_2","doi-asserted-by":"crossref","unstructured":"N.Fr\u00fchaufandE.L\u00fcder Realization of CNNs by optical parallel processing with spatial light valves' Proc. IEEE CNNA\u201090 pp.281\u2013290 1990.","DOI":"10.1109\/CNNA.1990.207533"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0042315"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1016\/0893-6080(89)90018-X"},{"key":"e_1_2_1_14_2","volume-title":"Exploiting cellular automata in the design of cellular neural networks for binary image processing","author":"Chua L. O.","year":"1989"},{"key":"e_1_2_1_15_2","unstructured":"G.B\u00e1rtfayandT.Roska A new cellular neural network template and its application to skeletonizatione Report No. 24\/1989 Computer and Automation Institute Hungarian Academy of Sciences (MTA SzTAKI) Budapest 1989."},{"key":"e_1_2_1_16_2","unstructured":"CNND simulator Cellular Neural Network embedded in a simple Dual computing structure User's guide Version 3.0 Report No. 37\/1990 (ed. T. Roska and A. Radv\u00e1nyi) Computer and Automation Institute Hungarian Academy of Sciences (MTA SzTAKI) Budapest 1990."},{"key":"e_1_2_1_17_2","first-page":"454","volume-title":"Fundamental limits in large\u2010scale circuit modelling","author":"Csurgay \u00c1.","year":"1983"},{"key":"e_1_2_1_18_2","unstructured":"T.Roska A dual way of computing\u2010learning from cerebral asymmetry' Proc. Symposium on Computer and Cognitive Sciences Tampere University of Technology pp.101\u2013108 Tampere 1989."},{"key":"e_1_2_1_19_2","doi-asserted-by":"publisher","DOI":"10.1137\/0516030"},{"key":"e_1_2_1_20_2","doi-asserted-by":"crossref","unstructured":"T.Matsumoto T.Yokohama H.Suzuki R.Furukawa A.Oshimoto T.Shimmi Y.Matsushita T.Seo andL. O.Chua Several image processing examples by CNN' Proc. CNNA\u201090 pp.100\u2013111 1990.","DOI":"10.1109\/CNNA.1990.207512"},{"key":"e_1_2_1_21_2","doi-asserted-by":"crossref","unstructured":"K.Halonen V.Porra T.RoskaandL. O.Chua VLSI Implementation of a reconfigurable CNN containing local logic' Proc. CNNA\u201090 pp.206\u2013215 1990.","DOI":"10.1109\/CNNA.1990.207526"},{"key":"e_1_2_1_22_2","first-page":"120","article-title":"Monotone semiflows generated by functional diffegs","volume":"66","author":"Smith H. L.","year":"1987","journal-title":"J. Diff. Eg."},{"key":"e_1_2_1_23_2","unstructured":"H.HarrerandJ. A.Nossek Time discrete cellular neural networks: architecture applications and realization' Report No. TUM\u2010LNS\u2010TR\u201090\u201012 Technical University of Munich November1990."},{"key":"e_1_2_1_24_2","doi-asserted-by":"crossref","unstructured":"J. E.Varrientos J.Ramirez\u2010AnguloandE.S\u00e1nchez\u2010Sinencio Cellular neural networks implementation: a current\u2010mode approach Proc. IEEE CNNA\u201090 pp.216\u2013225 1990.","DOI":"10.1109\/CNNA.1990.207527"},{"key":"e_1_2_1_25_2","unstructured":"L. O.ChuaandB.Shi private communication 1991."},{"key":"e_1_2_1_26_2","unstructured":"T.Boros K.Lotz A.Radv\u00e1nyiandT.Roska Some useful new nonlinear and delay\u2010type templates' Report DNS\u20101\u20101990 Computer and Automation Institute of the Hungarian Academy of Sciences Budapest1990."},{"key":"e_1_2_1_27_2","unstructured":"T.Roska C. W.Wu M.BalsiandL. O.Chua Stability and dynamics of delay\u2010type and nonlinear cellular neural networks' Memo. No. UCB\/ERL M91\/110 University of California at Berkeley December1991."},{"key":"e_1_2_1_28_2","unstructured":"T.Roska K.Lotz J.H\u00e1mori E.L\u00e1bosandJ.Tak\u00e1cs The CNN model in the visual pathway\u2014Part I: the CNN\u2010Retina and some direction\u2010 and length\u2010 selective mechanisms' Report DNS\u20108\u20101991 Computer and Automation Institute of the Hungarian Academy of Sciences Budapest 1990."}],"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.4490200504","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4490200504","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,18]],"date-time":"2025-01-18T02:09:20Z","timestamp":1737166160000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.4490200504"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1992,9]]},"references-count":28,"journal-issue":{"issue":"5","published-print":{"date-parts":[[1992,9]]}},"alternative-id":["10.1002\/cta.4490200504"],"URL":"https:\/\/doi.org\/10.1002\/cta.4490200504","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1992,9]]}}}