{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T19:37:37Z","timestamp":1649187457526},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2006,2]]},"abstract":"In this paper, we study synchronization and asynchronization in a Coupled Lorenz-type Map Lattice (CLML). Lorenz-type map forms a chaotic system with an appropriate discontinuous function. We prove that in a CLML with suitable coupling strength, there is a subset of full measure in the phase space such that chaotic synchronization occurs for any orbit starting from this subset and there is a dense subset of measure zero in the phase space such that synchronization will never occur. We also provide numerical observations to explain our results.<\/jats:p>","DOI":"10.1142\/s0218127406014794","type":"journal-article","created":{"date-parts":[[2006,4,10]],"date-time":"2006-04-10T11:53:16Z","timestamp":1144669996000},"page":"269-280","source":"Crossref","is-referenced-by-count":1,"title":["SYNCHRONIZATION AND ASYNCHRONIZATION IN A LATTICE OF COUPLED LORENZ-TYPE MAPS"],"prefix":"10.1142","volume":"16","author":[{"given":"WEN-WEI","family":"LIN","sequence":"first","affiliation":[{"name":"Department of Mathematics, National Tsing Hua University, Hsinchu, 300, Taiwan, ROC"}]},{"given":"SHIH-FENG","family":"SHIEH","sequence":"additional","affiliation":[{"name":"Department of Mathematics, National Tsing Hua University, Hsinchu, 300, Taiwan, ROC"}]},{"given":"YI-QIAN","family":"WANG","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Nanjing University, Nanjing, 210008, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Lecture Notes on Chaotic Dynamical Systems","author":"Afraimovich V. S.","year":"2002"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.44.R3407"},{"key":"rf3","first-page":"556","volume":"6","author":"Andreev K. V.","journal-title":"Nonlin. Phenom. Compl. Syst."},{"key":"rf4","doi-asserted-by":"crossref","first-page":"2717","DOI":"10.1142\/S0218127400001778","volume":"10","author":"Chiu C. H.","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.65"},{"key":"rf7","doi-asserted-by":"crossref","first-page":"2307","DOI":"10.1142\/S0218127400001547","volume":"10","author":"Freeman W. J.","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.61.5091"},{"key":"rf9","first-page":"5028","volume":"74","author":"Heagy J. F.","journal-title":"Phys. Rev. Lett."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.65.016201"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127499001139"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(02)00385-8"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1137\/S1111111101395410"},{"key":"rf15","first-page":"133","volume":"8","author":"Malkin M. I.","journal-title":"Sel. Math. Sov."},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0082847"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.821"},{"key":"rf18","first-page":"262","volume":"6","author":"Pecora L. M.","journal-title":"Chaos"},{"key":"rf19","volume":"27","author":"Sirven J. I.","journal-title":"The Phys. Sportmed."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127494000691"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127406014794","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,13]],"date-time":"2020-04-13T18:38:48Z","timestamp":1586803128000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127406014794"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,2]]},"references-count":18,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,2]]}},"alternative-id":["10.1142\/S0218127406014794"],"URL":"https:\/\/doi.org\/10.1142\/s0218127406014794","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,2]]}}}