dc.contributor.author | Ashwin, Peter | en_GB |
dc.contributor.author | Covas, Eurico | en_GB |
dc.contributor.author | Tavakol, Reza | en_GB |
dc.date.accessioned | 2012-11-08T17:52:19Z | en_GB |
dc.date.accessioned | 2013-03-20T12:29:17Z | |
dc.date.issued | 1999 | en_GB |
dc.description.abstract | We consider the behaviour of attractors near invariant subspaces on varying a parameter that does not preserve the dynamics in the invariant subspace but is otherwise generic, in a smooth dynamical system. We refer to such a parameter as ``non-normal''. If there is chaos in the invariant subspace that is not structurally stable, this has the effect of ``blurring out'' blowout bifurcations over a range of parameter values that we show can have positive measure in parameter space. Associated with such blowout bifurcations are bifurcations to attractors displaying a new type of intermittency that is phenomenologically similar to on-off intermittency, but where the intersection of the attractor by the invariant subspace is larger than a minimal attractor. The presence of distinct repelling and attracting invariant sets leads us to refer to this as ``in-out'' intermittency. Such behaviour cannot appear in systems where the transverse dynamics is a skew product over the system on the invariant subspace. We characterise in-out intermittency in terms of its structure in phase space and in terms of invariants of the dynamics obtained from a Markov model of the attractor. This model predicts a scaling of the length of laminar phases that is similar to that for on-off intermittency but which has some differences. | en_GB |
dc.identifier.citation | Vol. 12 (3), pp. 563–577 | en_GB |
dc.identifier.doi | 10.1088/0951-7715/12/3/009 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10036/3914 | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | Institute of Physics | en_GB |
dc.relation.url | http://arxiv.org/abs/chao-dyn/9802013v1 | en_GB |
dc.relation.url | http://dx.doi.org/10.1088/0951-7715/12/3/009 | en_GB |
dc.title | Transverse instability for non-normal parameters | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2012-11-08T17:52:19Z | en_GB |
dc.date.available | 2013-03-20T12:29:17Z | |
dc.identifier.issn | 0951-7715 | en_GB |
dc.description | Copyright © 1999 IOP Publishing Ltd. This is the pre-print version of an article subsequently published in Nonlinearity Vol. 12, pp. 563–577, DOI: 10.1088/0951-7715/12/3/009 | en_GB |
dc.identifier.eissn | 1361-6544 | en_GB |
dc.identifier.journal | Nonlinearity | en_GB |