{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,5]],"date-time":"2025-11-05T14:16:55Z","timestamp":1762352215468},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,10]]},"abstract":"<jats:p> In this paper, we present a simple and accessible way to enhance the stable behaviors of a chaotic dynamical system which models a cancer growth, as presented in [Itik &amp; Banks, 2010]. The algorithm presented in [Danca et al., 2012], approximates numerically any attractor of a system belonging to a defined class of dynamical systems, by alternating the control parameter in relatively short periods of time. When switching the control parameter within a set of values corresponding to some chaotic behaviors, the result may be a stable evolution or, reversely a chaotic behavior may be obtained by switching the parameter within a set of values corresponding to stable evolutions. This apparently surprising phenomenon is, in fact, a generalization of the known Parrondo's paradox. <\/jats:p>","DOI":"10.1142\/s0218127412502586","type":"journal-article","created":{"date-parts":[[2012,11,8]],"date-time":"2012-11-08T08:56:12Z","timestamp":1352364972000},"page":"1250258","source":"Crossref","is-referenced-by-count":20,"title":["PARRONDO'S GAME MODEL TO FIND NUMERICALLY STABLE ATTRACTORS OF A TUMOR GROWTH MODEL"],"prefix":"10.1142","volume":"22","author":[{"given":"MARIUS-F.","family":"DANCA","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, Avram Iancu University, Str. Ilie Macelaru, nr. 1A, 400380 Cluj-Napoca, Romania"},{"name":"Romanian Institute of Science and Technology, Str. Ciresilor nr. 29, 400487 Cluj-Napoca, Romania"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"DEJIAN","family":"LAI","sequence":"additional","affiliation":[{"name":"Division of Biostatistics, University of Texas, School of Public Health, RAS W1006, Houston, TX 77030, USA"},{"name":"Faculty of Statistics, Jiangxi University of Finance and Economics, Nanchang, Jiangxi, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,11,8]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-011-0172-6"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S0895-7177(03)00133-X"},{"key":"rf3","volume-title":"Fractal Geometry, Mathematical Foundations and Applications","author":"Falconer K.","year":"1990"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/8\/3\/001"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1038\/421321a"},{"key":"rf6","first-page":"5226","volume":"85","author":"Harmer G. P.","journal-title":"Phys. Rev. Lett."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.01.214"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127410025417"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1927.0118"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144504446291"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127412502586","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:24:32Z","timestamp":1565187872000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127412502586"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,10]]},"references-count":10,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2012,11,8]]},"published-print":{"date-parts":[[2012,10]]}},"alternative-id":["10.1142\/S0218127412502586"],"URL":"https:\/\/doi.org\/10.1142\/s0218127412502586","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,10]]}}}