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- aggregation classification "A1".
- aggregation creator B383853.
- aggregation date "2005".
- aggregation hasFormat 1200772.bibtex.
- aggregation hasFormat 1200772.csv.
- aggregation hasFormat 1200772.dc.
- aggregation hasFormat 1200772.didl.
- aggregation hasFormat 1200772.doc.
- aggregation hasFormat 1200772.json.
- aggregation hasFormat 1200772.mets.
- aggregation hasFormat 1200772.mods.
- aggregation hasFormat 1200772.rdf.
- aggregation hasFormat 1200772.ris.
- aggregation hasFormat 1200772.txt.
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- aggregation hasFormat 1200772.yaml.
- aggregation isPartOf urn:issn:1023-6198.
- aggregation language "eng".
- aggregation subject "Mathematics and Statistics".
- aggregation title "Subharmonic branching at a reversible 1:1 resonance".
- aggregation abstract "We investigate the bifurcation of q-periodic points from a fixed point of a 2-parameter family of n-dimensional reversible diffeomorphisms (n >= 4). The focus is on the codimension 2 non-semisimple 1:1 resonancecase, that is, when the linearization at the fixed point has a pair of double eigenvalues on the unit circle, exp (+/- 2i pi p/q) (with gcd(p, q) = 1), with geometric multiplicity 1. Through a modified version of Lyapunov Schmidt reduction, the reduced bifurcation equations are obtained. These are then analysed using reversible normal form theory and (reversible) singularity theory. We obtain the existence of two branches of symmetric q-periodic orbits bifurcating from the fixed point. We also describe the corresponding bifurcation scenario for a family of reversible systems in the case of a two-fold resonance, cfr. [ 12,5].".
- aggregation authorList BK693910.
- aggregation endPage "1135".
- aggregation issue "13".
- aggregation startPage "1119".
- aggregation volume "11".
- aggregation isDescribedBy 1200772.
- aggregation similarTo 10236190500331214.
- aggregation similarTo LU-1200772.