dc.contributor.author | Hawker, David | en_GB |
dc.contributor.author | Ashwin, Peter | en_GB |
dc.contributor.department | University of Exeter | en_GB |
dc.date.accessioned | 2008-04-04T15:12:29Z | en_GB |
dc.date.accessioned | 2011-01-25T10:33:24Z | en_GB |
dc.date.accessioned | 2013-03-20T12:25:51Z | |
dc.date.issued | 2005 | en_GB |
dc.description.abstract | 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, ie a point
with maximal symmetry. The example we study is for vector fields on R3 with (Z2)3
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. | en_GB |
dc.identifier.citation | 15 (9), pp. 2819-2832 | en_GB |
dc.identifier.doi | 10.1142/S0218127405013708 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10036/22375 | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | World Scientific Publishing Company | en_GB |
dc.relation.url | http://dx.doi.org/10.1142/S0218127405013708 | en_GB |
dc.subject | heteroclinic cycles | en_GB |
dc.subject | robust | en_GB |
dc.subject | bifurcation | en_GB |
dc.subject | stability | en_GB |
dc.subject | symmetry | en_GB |
dc.title | Robust bursting to the origin: heteroclinic cycles with maximal symmetry equilibria | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2008-04-04T15:12:29Z | en_GB |
dc.date.available | 2011-01-25T10:33:24Z | en_GB |
dc.date.available | 2013-03-20T12:25:51Z | |
dc.identifier.issn | 0218-1274 | en_GB |
dc.description | Preprint version of an article published in International Journal of Bifurcation and Chaos, 15, 9, 2005, pp. 2819-2832. DOI: 10.1142/S0218127405013708 © copyright World Scientific Publishing Company. http://www.worldscinet.com/ijbc/ijbc.shtml | en_GB |
dc.identifier.journal | International Journal of Bifurcation and Chaos | en_GB |