Completely integrable holonomic systems of first-order differential equations
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Publication:4857069
DOI10.1017/S0308210500032686zbMath0843.58067MaRDI QIDQ4857069
Publication date: 1 January 1996
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
classificationnormal formsfirst-order differential equationsLegendrian unfoldingscompletely integrable holonomic systemsintegral diagrams
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Related Items (8)
Spacelike parallels and evolutes in Minkowski pseudo-spheres ⋮ Holonomic systems of Clairaut type ⋮ Caustics of world hyper-sheets in the Minkowski space-time ⋮ Bifurcations of completely integrable 2-variable first-order partial differential equations ⋮ The theory of graph-like Legendrian unfoldings and its applications ⋮ Bifurcations of ordinary differential equations of Clairaut type ⋮ Bifurcations of completely integrable first-order ordinary differential equations ⋮ On families of Lagrangian submanifolds
Cites Work
- Reconstructions of fronts and caustics depending on a parameter and versality of mappings
- Familles de courbes planes différentiables
- Lagrangian and Legendrian singularities
- Projections and vector fields tangent to the discriminant of a complete intersection
- Geometry of bifurcation diagrams of simple projections onto the line
- 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
- Generic bifurcations of varieties
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