Bifurcations of completely integrable first-order ordinary differential equations

DOI10.1007/s10958-007-0239-6zbMath1187.37081OpenAlexW2039277618MaRDI QIDQ1040283

Masatomo Takahashi

Publication date: 24 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0239-6

zbMATH Keywords

bifurcationimplicit first-order ordinary differential equationLegendrian singularity theory

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23)

Related Items

Bifurcations of completely integrable 2-variable first-order partial differential equations, On families of Lagrangian submanifolds

Cites Work

• Reconstructions of fronts and caustics depending on a parameter and versality of mappings
• Bifurcations of ordinary differential equations of Clairaut type
• The unfolding and determinacy theorems for subgroups of 𝒜 and 𝒦
• The theory of Legendrian unfoldings and first-order differential equations
• CLASSIFICATION OF GENERIC INTEGRAL DIAGRAMS AND FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
• Completely integrable holonomic systems of first-order differential equations