{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T19:47:34Z","timestamp":1777664854098,"version":"3.51.4"},"reference-count":34,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p> Lorenz system, as the first classical chaotic system, has been intensively investigated over the last four decades. Based on the sawtooth wave function, this paper initiates a novel approach for generating multi-wing butterfly chaotic attractors from the generalized first and second kinds of Lorenz-type systems. Compared with the traditional ring-shaped multi-scroll Lorenz chaotic attractors, the proposed multi-wing butterfly chaotic attractors are much easier to be designed and implemented by analog circuits. The dynamical behaviors of these multi-wing butterfly chaotic systems are further studied. Theoretical analysis shows that every index-2 saddle-focus equilibrium corresponds to a unique wing in the butterfly attractors. Finally, a module-based unified circuit diagram is constructed for realizing various multi-wing butterfly attractors. It should be especially pointed out that this is the first time in the literature that a maximal 10-wing butterfly chaotic attractor is experimentally verified by analog circuits. <\/jats:p>","DOI":"10.1142\/s0218127410025387","type":"journal-article","created":{"date-parts":[[2010,3,25]],"date-time":"2010-03-25T07:49:37Z","timestamp":1269503377000},"page":"29-41","source":"Crossref","is-referenced-by-count":73,"title":["DESIGN AND IMPLEMENTATION OF MULTI-WING BUTTERFLY CHAOTIC ATTRACTORS VIA LORENZ-TYPE SYSTEMS"],"prefix":"10.1142","volume":"20","author":[{"given":"SIMIN","family":"YU","sequence":"first","affiliation":[{"name":"College of Automation, Guangdong University of Technology, Guangzhou 510006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"WALLACE K. S.","family":"TANG","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JINHU","family":"L\u00dc","sequence":"additional","affiliation":[{"name":"LSC, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electrical and Computer Engineering, RMIT University, Melbourne VIC 3001, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GUANRONG","family":"CHEN","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499000729"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499001024"},{"key":"rf3","volume-title":"Dynamics of the Lorenz System Family: Analysis, Control, and Synchronization","author":"Chen G.","year":"2003"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1986.1085869"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/81.915386"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/81.995671"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403008405"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1063\/1.1756117"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402004620"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740200631X"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1063\/1.1478079"},{"key":"rf14","first-page":"198","volume":"50","author":"L\u00fc J.","journal-title":"IEEE Trans. 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