Generic bifurcations of varieties

DOI10.1007/BF01185199zbMath0537.58009OpenAlexW4240735761MaRDI QIDQ5896322

Shyuichi Izumiya

Publication date: 1984

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154995

zbMATH Keywords

contact equivalencering of smooth function germs

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (8)

Equivariant multiparameter bifurcation via singularity theory ⋮ Spacelike parallels and evolutes in Minkowski pseudo-spheres ⋮ Generic bifurcations of varieties. II ⋮ Completely integrable holonomic systems of first-order differential equations ⋮ Normal forms for parametrized vector fields and its application to bifurcations of some reaction diffusion equations ⋮ An algebraic formula for the topological types of one parameter bifurcation diagrams ⋮ Caustics of world hyper-sheets in the Minkowski space-time ⋮ TOPOLOGICAL CLASSIFICATION OF BLACK HOLES: GENERIC MAXWELL SET AND CREASE SET OF A HORIZON

Cites Work

• On the determinacy of smooth map-germs
• A versality theorem for a bilateral group of changes of variables
• Excess demand functions
• Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• A theory for imperfect bifurcation via singularity theory
• Generic bifurcations of varieties
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