{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T05:26:22Z","timestamp":1783661182604,"version":"3.55.0"},"reference-count":44,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,11]]},"abstract":"<jats:p> We discuss a rather new phenomenon in chaotic dynamics connected with the fact that some three-dimensional diffeomorphisms can possess wild Lorenz-type strange attractors. These attractors persist for open domains in the parameter space. In particular, we report on the existence of such domains for a three-dimensional H\u00e9non map (a simple quadratic map with a constant Jacobian which occurs in a natural way in unfoldings of several types of homoclinic bifurcations). Among other observations, we have evidence that there are different types of Lorenz-like attractor domains in the parameter space of the 3D H\u00e9non map. In all cases the maximal Lyapunov exponent, \u039b<jats:sub>1<\/jats:sub>, is positive. Concerning the next Lyapunov exponent, \u039b<jats:sub>2<\/jats:sub>, there are open domains where it is definitely positive, others where it is definitely negative and, finally, domains where it cannot be distinguished numerically from zero (i.e. |\u039b<jats:sub>2<\/jats:sub>| &lt; \u03c1, where \u03c1 is some tolerance ranging between 10<jats:sup>-5<\/jats:sup> and 10<jats:sup>-6<\/jats:sup>). Furthermore, several other types of interesting attractors have been found in this family of 3D H\u00e9non maps. <\/jats:p>","DOI":"10.1142\/s0218127405014180","type":"journal-article","created":{"date-parts":[[2006,2,6]],"date-time":"2006-02-06T04:49:18Z","timestamp":1139201358000},"page":"3493-3508","source":"Crossref","is-referenced-by-count":114,"title":["THREE-DIMENSIONAL H\u00c9NON-LIKE MAPS AND WILD LORENZ-LIKE ATTRACTORS"],"prefix":"10.1142","volume":"15","author":[{"given":"S. V.","family":"GONCHENKO","sequence":"first","affiliation":[{"name":"Inst. Appl. Math. and Cyb., Nizhny Novgorod State Univ., 10 Ulyanova st., Nizhny Novgorod, 603005, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"I. 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