{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T12:57:43Z","timestamp":1761742663045},"reference-count":20,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2005,9]]},"abstract":"<jats:p> Robust attracting heteroclinic cycles have been found in many models of dynamics with symmetries. In all previous examples, robust heteroclinic cycles appear between a number of symmetry broken equilibria. In this paper we examine the first example where there are robust attracting heteroclinic cycles that include the origin, i.e. a point with maximal symmetry. The example we study is for vector fields on \u211d<jats:sup>3<\/jats:sup> with (\u2124<jats:sub>2<\/jats:sub>)<jats:sup>3<\/jats:sup> symmetry. We list all possible generic (codimension one) local and global bifurcations by which this cycle can appear as an attractor; these include a resonance bifurcation from a limit cycle, direct bifurcation from a stable origin and direct bifurcation from other and more familiar robust heteroclinic cycles. <\/jats:p>","DOI":"10.1142\/s0218127405013708","type":"journal-article","created":{"date-parts":[[2005,10,26]],"date-time":"2005-10-26T07:55:00Z","timestamp":1130313300000},"page":"2819-2832","source":"Crossref","is-referenced-by-count":5,"title":["ROBUST BURSTING TO THE ORIGIN: HETEROCLINIC CYCLES WITH MAXIMAL SYMMETRY EQUILIBRIA"],"prefix":"10.1142","volume":"15","author":[{"given":"DAVID","family":"HAWKER","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Laver Building, University of Exeter, Exeter EX4 4QE, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"PETER","family":"ASHWIN","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Laver Building, University of Exeter, Exeter EX4 4QE, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(88)90032-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/s002050050158"},{"key":"rf3","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1017\/S0305004101005801","volume":"133","author":"Ashwin P.","journal-title":"Math. 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