{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T12:00:40Z","timestamp":1648641640236},"reference-count":8,"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> In this paper, we present and analyze two asymmetric couplings of two H\u00e9non maps. In the first case, we investigate numerically phenomena associated with the appearence, in the parameter-space, of periodic structures like Arnold tongues, which are windows of periodicity immersed in a quasiperiodic region resulting from a Naimark\u2013Sacker bifurcation. We show that these structures organize themselves in period-adding bifurcation cascades, and that successive windows have monotonically decreasing width. In the second case, we show that when the individual H\u00e9non maps in coupling are both chaotic, there are specific parameter values that may force the coupled maps into periodic orbits. Therefore, parameter-space regions of the coupled system where the chaotic dynamics is driven towards regular dynamics are found. In the two cases, Lyapunov exponents, bifurcation diagrams, parameter-space and phase-space plots are used to characterize the dynamics observed as parameters are changed. <\/jats:p>","DOI":"10.1142\/s0218127410025478","type":"journal-article","created":{"date-parts":[[2010,3,25]],"date-time":"2010-03-25T07:49:37Z","timestamp":1269503377000},"page":"153-160","source":"Crossref","is-referenced-by-count":3,"title":["DYNAMICS OF ASYMMETRIC COUPLINGS OF TWO H\u00c9NON MAPS"],"prefix":"10.1142","volume":"20","author":[{"given":"GABRIELA A.","family":"CASAS","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil"}]},{"given":"PAULO C.","family":"RECH","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1063\/1.2216850"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.2714"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01608556"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(94)01016-N"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1002\/3527604804"},{"key":"rf7","volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"Wiggins S.","year":"2003"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(96)00852-3"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127410025478","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T08:39:48Z","timestamp":1565167188000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127410025478"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":8,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1142\/S0218127410025478"],"URL":"https:\/\/doi.org\/10.1142\/s0218127410025478","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1]]}}}