The Newton filtration and \(d\)-determination of bifurcation problems related to \(C^{0}\) contact equivalence

DOI10.1007/S11425-006-0660-1zbMath1109.58039OpenAlexW1480907859MaRDI QIDQ862713

Dan Su, Dun-mu Zhang

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0660-1

zbMATH Keywords

singular Riemannian metricNewton filtrationmap germ

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Topological properties of mappings on manifolds (58K15)

Related Items (1)

Weak finite determinacy of relative map-germs

Cites Work

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• Characterization of \(v\)-sufficiency from the Newton filtration
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• On \(C^0\)-sufficiency of jets of potential functions
• Characterizations of v-sufficiency of jets
• Finite Determination of Bifurcation Problems
• A theory for imperfect bifurcation via singularity theory

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