Bifurcations in Volume-Preserving Systems
Publication date
2019-08-01
Authors
Broer, Henk W.
Hanßmann, Heinz
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Document Type
Article
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Abstract
We give a survey on local and semi-local bifurcations of divergence-free vector fields. These differ for low dimensions from ‘generic’ bifurcations of structure-less ‘dissipative’ vector fields, up to a dimension-threshold that grows with the co-dimension of the bifurcation.
Keywords
Divergence-free vector field, Double Hopf bifurcation, KAM theory, Quasi-periodic stability, Volume-preserving Hopf bifurcation, Applied Mathematics
Citation
Broer, H W & Hanßmann, H 2019, 'Bifurcations in Volume-Preserving Systems', Acta Applicandae Mathematicae, vol. 162, no. 1, pp. 3-32. https://doi.org/10.1007/s10440-019-00254-4