{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T12:03:00Z","timestamp":1759147380174},"reference-count":38,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,6,30]]},"abstract":"<jats:p>This work presents novel discrete-time chaotic systems with some known physical system nonlinearities. Dynamic behaviors of the models are examined with numerical methods and Arduino microcontroller-based experimental studies. Many new chaotic maps are generated in the form of [Formula: see text] and high-dimensional chaotic systems are obtained by weak coupling or cross-coupling the same or different chaotic maps. An application of the chaotic maps is realized with Arduino for chaotic pulse width modulation to drive electrical machines. It is expected that the new chaotic maps and their microcontroller implementations will facilitate practical chaos-based applications in different fields.<\/jats:p>","DOI":"10.1142\/s0218127416501212","type":"journal-article","created":{"date-parts":[[2016,7,15]],"date-time":"2016-07-15T10:00:50Z","timestamp":1468576850000},"page":"1650121","source":"Crossref","is-referenced-by-count":12,"title":["Chaotic Map Construction from Common Nonlinearities and Microcontroller Implementations"],"prefix":"10.1142","volume":"26","author":[{"given":"G\u00fcnyaz","family":"Ablay","sequence":"first","affiliation":[{"name":"Department of Electrical-Electronics Engineering, Abdullah G\u00fcl University, Kayseri 38080, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,7,15]]},"reference":[{"key":"S0218127416501212BIB001","doi-asserted-by":"publisher","DOI":"10.5370\/JEET.2015.10.4.1843"},{"key":"S0218127416501212BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2107-0"},{"key":"S0218127416501212BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.jfranklin.2015.03.028"},{"key":"S0218127416501212BIB004","doi-asserted-by":"publisher","DOI":"10.1002\/cplx.20278"},{"key":"S0218127416501212BIB005","author":"Atmel","year":"2014","journal-title":"The Atmel AVR."},{"key":"S0218127416501212BIB006","doi-asserted-by":"crossref","DOI":"10.1201\/b14979","volume-title":"Discrete Dynamical Systems and Chaotic Machines: Theory and Applications","author":"Bahi J.","year":"2013"},{"key":"S0218127416501212BIB007","first-page":"66","volume":"87","author":"Balestra M.","year":"2004","journal-title":"IEICE Trans. Electron."},{"key":"S0218127416501212BIB008","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409022774"},{"key":"S0218127416501212BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740702004X"},{"key":"S0218127416501212BIB010","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-031-02403-0","volume-title":"Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations","author":"Chen G.","year":"2011"},{"key":"S0218127416501212BIB011","doi-asserted-by":"publisher","DOI":"10.1109\/JPROC.2002.1015005"},{"key":"S0218127416501212BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/j.geoderma.2015.08.022"},{"key":"S0218127416501212BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/j.fusengdes.2012.12.005"},{"key":"S0218127416501212BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.procs.2014.07.059"},{"key":"S0218127416501212BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-015-2116-z"},{"key":"S0218127416501212BIB016","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-1214-z"},{"key":"S0218127416501212BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(87)90058-3"},{"key":"S0218127416501212BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-14938-2"},{"key":"S0218127416501212BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2015.08.001"},{"key":"S0218127416501212BIB020","first-page":"1","author":"Liu L.","year":"2015","journal-title":"Complexity"},{"key":"S0218127416501212BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2014.01.006"},{"key":"S0218127416501212BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-014-1810-6"},{"key":"S0218127416501212BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.jare.2012.05.003"},{"key":"S0218127416501212BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2014.01.075"},{"key":"S0218127416501212BIB025","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-0526(199709\/10)3:1<26::AID-CPLX8>3.0.CO;2-C"},{"key":"S0218127416501212BIB026","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127412502847"},{"key":"S0218127416501212BIB027","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127415500108"},{"key":"S0218127416501212BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2013.03.017"},{"key":"S0218127416501212BIB029","doi-asserted-by":"publisher","DOI":"10.1119\/1.19538"},{"key":"S0218127416501212BIB030","volume-title":"Chaos and Time-Series Analysis","author":"Sprott J.","year":"2001","edition":"1"},{"key":"S0218127416501212BIB031","volume-title":"Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering","author":"Strogatz S. H.","year":"2014","edition":"2"},{"key":"S0218127416501212BIB032","doi-asserted-by":"publisher","DOI":"10.1109\/81.922468"},{"key":"S0218127416501212BIB033","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2006.10.049"},{"key":"S0218127416501212BIB034","doi-asserted-by":"publisher","DOI":"10.1002\/cplx.6130010506"},{"key":"S0218127416501212BIB035","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0747-x"},{"key":"S0218127416501212BIB036","doi-asserted-by":"publisher","DOI":"10.1063\/1.1568692"},{"key":"S0218127416501212BIB037","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-013-1065-7"},{"key":"S0218127416501212BIB038","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2013.12.010"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416501212","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,3]],"date-time":"2022-07-03T03:52:02Z","timestamp":1656820322000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416501212"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,30]]},"references-count":38,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2016,7,15]]},"published-print":{"date-parts":[[2016,6,30]]}},"alternative-id":["10.1142\/S0218127416501212"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416501212","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6,30]]}}}